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Probe of the Anomalous Quartic Couplings with Beam Polarization at the CLIC.

1. Introduction

The Standard Model (SM) has been proven to be highly successful through many significant experimental tests, in

particular the discovery of a new particle consistent with the SM Higgs boson with a mass between 125-126 GeV detected by the ATLAS and the CMS experiments at the LHC [1, 2]. On the other hand, since many important questions such as the origin of mass, the large hierarchy between electroweak and the Planck scale, the strong CP problem, and the matter/antimatter asymmetry remain unanswered in the SM, we need to study physics beyond the SM. One of the ways of probing new physics beyond the SM is to investigate the anomalous gauge boson interactions. Gauge boson self-interactions in the SM are exactly described by the [SU.sub.L](2) x [U.sub.y](1) gauge symmetry. The precision measurements of gauge boson self-interactions can further verify the SM. Furthermore, the existence of anomalous gauge boson couplings may be a sign of new physics beyond the SM. The effective Lagrangian approach is one of the common ways for searching new physics beyond the SM in a model independent way. In particular, the anomalous quartic gauge boson couplings can be examined with the aid of the effective Lagrangian approach. Such an approach is parameterized by high-dimensional operators which induce anomalous quartic gauge couplings that modify the interactions between the electroweak gauge bosons.

The LHC is expected to reply some of the fundamental open questions in particle physics. Nevertheless, the analysis of the LHC data is quite difficult due to remnants of the usual proton-proton deep inelastic processes, whereas collisions between electrons and positrons are much simpler to investigate than proton-proton collisions. A linear electron-positron collider with high luminosity and energy is the best option to complement and to expand the LHC physics program. The CLIC is one of the most popular linear colliders, purposed to follow out electron-positron collisions at energies from 0.35 TeV to 3 TeV [3]. To have its high luminosity and energy is quite important with regard to new physics research beyond the SM. Since the anomalous quartic couplings defined through effective Lagrangians have dimension-8, they have very strong energy dependence. Therefore, the anomalous cross section including these vertices has higher energy dependence than the SM cross section. Hence, CLIC will have a great potential to examine the anomalous quartic gauge boson couplings.

High-dimensional effective operators describing the anomalous quartic gauge boson couplings are expressed by either linear or nonlinear effective Lagrangians. Nonlinear effective Lagrangians are considered if there is no Higgs boson in the low energy spectrum. However, linear effective Lagrangians are obtained by using a linear representation of gauge symmetry that is broken by the conventional SM Higgs mechanism. It becomes important to study the anomalous quartic gauge boson couplings based on linear effective Lagrangians due to the discovery of a Higgs boson in the LHC. For these reasons, we only deal with dimension-8 operators in our work.

In this paper, we will analyze the anomalous quartic couplings via [e.sup.+][e.sup.-] [right arrow] [v.sub.e][W.sup.-][W.sup.+] [[bar.v].sub.e] process with semileptonic decay including polarized electron (positron) beam effects at the CLIC for the center-of-mass energies of 1.4 and 3 TeV.

2. Dimension-Eight Operators for Quartic Gauge Couplings

There are three classes of operators that describe the anomalous quartic couplings. The first class of operators can be parameterized in terms of only the covariant derivative of the field [D.sub.[mu]][PHI]. This class includes two independent operators [4]:

[mathematical expression not reproducible]. (1)

The second class of operators are related to [D.sub.[mu]][PHI] and the field strength. These seven operators are given as follows [4]:

[mathematical expression not reproducible]. (2)

The remaining operators contain, solely, the field strength tensors. These operators can be expressed as [4]

[mathematical expression not reproducible]. (3)

The complete list of quartic vertices modified by these operators is given in Table 1.

There are total 59 Feynman diagrams for process [e.sup.+][e.sup.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] including anomalous quartic WWWW, WWZ[gamma], and WWZZ couplings. The three diagrams in presence of anomalous quartic WWWW, WWZ[gamma], and WWZZ couplings are shown in Figure 1. We can see from Table 1 that while [L.sub.S0] and [L.sub.S1] operators modify the anomalous WWWW and WWZZ couplings, dimension-8 effective Ltq operator causes the anomalous WWWW, WWZ[gamma], and WWZZ vertices.

There have been many studies for the anomalous gauge self-interactions at linear and hadron colliders. On the other hand, the anomalous quartic couplings arising from dimension-8 operators at the LHC and the future hadron colliders have been investigated in [5-39]. In our paper, we choose [L.sub.S0], [L.sub.S1], and Ltq operators to investigate anomalous quartic couplings. In the literature, these couplings have been examined three different [f.sub.S0]/[[LAMBDA].sup.4], [f.sub.S1]/[[LAMBDA].sup.4], and [f.sub.T0]/[[LAMBDA].sup.4] couplings. Reference [5] has been experimentally obtained the bounds on the [f.sub.S0]/[[LAMBDA].sup.4] and [f.sub.S1]/[[LAMBDA].sup.4], using proton-proton collision data corresponding to an integrated luminosity of 20.3 [fb.sup.-1] at a center-of-mass energy of 8 TeV collected by the ATLAS detector at the LHC. In [6], the sensitivity bounds are obtained only on [f.sub.S0]/[[LAMBDA].sup.4] and [f.sub.S1]/[[LAMBDA].sup.4] at 99% confidence level (CL) for [square root of s] = 14 TeV via pp [right arrow] [jje.sup.[+ or - ]][[mu].sup.[+ or -]]vv process. Similarly the sensitivity bounds on [f.sub.T0]/[[LAMBDA].sup.4] with 95% CL via triboson production at the proton-proton colliders for [square root of s] = 14 TeV are obtained in [8]. In [7], the [f.sub.S0]/[[LAMBDA].sup.4], [f.sub.S1]/[[LAMBDA].sup.4], and [f.sub.T0]/[[LAMBDA].sup.4] couplings have been studied via WWW final state with full leptonic decay and semileptonic decay for [square root of s] = 14 TeV at the LHC and [square root of s] = 100 TeV for future hadron collider. The best available constraints on [f.sub.S0]/[[LAMBDA].sup.4], [f.sub.S1]/[[LAMBDA].sup.4], and [f.sub.T0]/[[LAMBDA].sup.4] parameters defining these anomalous quartic couplings obtained from one parameter analysis in [5-8] are summarized in Table 2. In [39] the authors examine the nonlinear parametrization through the processes pp [right arrow] [l.sup.[+ or -]][v.sub.l][l.sup.[+ or -]][v.sub.l]jj and pp [right arrow] [l.sup.[+ or -]][v.sub.l][l.sup.[- or +]][v.sub.l]jj at the LHC.

3. Numerical Analysis

The important features of a linear collider are its clean experimental environment, high energy, and polarized beams. A polarized electron beam would provide suitable platform searching of the SM and for diagnosing new physics. Observation of even the tiniest signal which conflicts with the SM expectations would be a convincing evidence for physics beyond the SM. Proper selections of the electron and positron beam polarization may therefore be used to enhance the new physics signal and also to considerably suppress backgrounds.

We use MadGraph5 [40] to generate the signal and background events with the effective Lagrangian implemented through FEYNRULES [41]. In order to probe the sensitivity of anomalous quartic couplings ([L.sub.s0], [L.sub.s1], and [L.sub.T0]), we analyzed the process [e.sup.+][e.sup.-] [right arrow][W.sup.+]([right arrow][l.sup.+]v) [W.sup.-]([right arrow]jets)[v.sub.e][[bar.v].sub.e]. In our analysis the main background processes yield identical final states to the signal process. Here we assume that one of the W's in the final state decays into leptonic channel and the other one decays into hadronic channel. Therefore, the final state signal and background topology of the process consists of an energetic lepton (l), neutrinos (missing [E.sub.T]), and two hadronic jets (2j). We apply following set of cuts in order to suppress the backgrounds and enhance the signal for the anomalous quartic interactions in [e.sup.+][e.sup.-] [right arrow] [W.sup.+]W[v.sub.e][bar.v].sub.e] process:

(1) [P.sub.Tj] >10 GeV, [absolute value of [[eta].sub.j]]<5,

(2) [E.sub.miss] > 10 GeV (missing [E.sub.T] (sum of neutrino's momenta)),

(3) [absolute value of [M.sub.jj] - [M.sub.w]] < 15 GeV,

(4) [DELTA]R > 0.4,

where j = w, d, s, c and [DELTA]R is the angular separation between any two objects. [DELTA]R = [square root of [DELTA][[phi].sup.2] + [DELTA][[eta].sup.2]] with [phi] representing the azimuthal angle with respect to the beam directions.

If the electroweak nature of the interactions of the processes is taken into account, for a process with electron and positron beam polarization, the cross section can be expressed as [42]

[mathematical expression not reproducible]. (4)

Here [[sigma].sub.ab] represents the calculated cross section with fixed helicities a for positron and b for the electron. [mathematical expression not reproducible] is the electron beam and [mathematical expression not reproducible] is the positron relative polarization. It may be noted that the considered process includes only a weak interaction. Therefore, only left-handed electrons (right-handed positrons) should be taken into account because of the structure of the W[e.sup.-][v.sub.e] (W[e.sup.+][[bar.v].sub.e]) vertex. Hence, the left-polarized electron (right-polarized positron) beam would enhance the cross section. This effect can be seen in Figures 2-7 for various polarization schemes. The total cross section of the [e.sup.+][e.sup.-] [right arrow] [v.sub.e][W.sup.- ][W.sup.+][[bar.v].sub.e] process as a function of [f.sub.s0]/[[LAMBDA].sup.4] coupling for 1.4 and 3 TeV center-of-mass energies is shown in Figures 2 and 3, respectively. Figures 4 and 5 depict the total cross section depending on the anomalous [f.sub.s1]/[[LAMBDA].sup.4] coupling at [square root of s] = 1.4 TeV and [square root of s] = 3 TeV energies, respectively. The total cross sections are plotted in Figures 6 and 7 with respect to [f.sub.T0]/[[LAMBDA].sup.4] coupling for the center-of-mass energies of 1.4 TeV and 3 TeV, respectively. As can be seen from Figures 2 and 7, the polarization ([mathematical expression not reproducible]) enhances the cross sections the most compared to the other considered to polarization schemes. The lowest points of the curves in Figures 2 and 7 correspond the value of the SM cross section. As seen from the figures, the increase of the center-of-mass energy leads to remarkable enhancement of the deviations from the SM. For instance, in Figure 2 cross section increases nearly by a factor of 10 from the SM for [f.sub.S0]/[[LAMBDA].sup.4] = 1 x [10.sup.-9] Ge[V.sup.-4] at 1.4 TeV. However, cross section increases nearly by a factor of 100 at 3 TeV for the same value for [f.sub.S0]/[[LAMBDA].sup.4]. On the other hand, the obtained cross sections are very sensitive to the anomalous parameters. For instance, in Figure 3 cross section increases two orders of magnitude as [f.sub.S1]/[[LAMBDA].sup.4] increases from 0 to 1x [10.sup.-9] Ge[V.sup.-4]. As seen from these figures, the total cross sections depend on the center-of-mass energy. When the center-of-mass energies are changed from 1.4 TeV to 3 TeV, the cross sections nearly increase by a factor of 100. The cross sections are almost symmetric with respect to change in the sign of anomalous couplings. Therefore, main contribution comes from the quadratic anomalous couplings terms.

In order to examine the sensitivity to the anomalous couplings, we use one parameter [chi square] criterion without systematic error. [chi square] The function is defined as follows:

[chi square] = [([[sigma].sub.SM] - [[sigma].sub.NP]/[[sigma].sub.SM][[delta].sub.stat]).sup.2], (5)

where [[sigma].sub.NP] is the total cross section including SM and new physics, [[delta].sub.stat] = 1/[square root of N] is the statistical error, and N is the number of background events N = [L.sub.int][[sigma].sub.SM], where [L.sub.int] is the integrated CLIC luminosity. We have obtained 95% CL limits on the anomalous coupling parameters using this analyze method at [square root of s] = 1.4 TeV and 3 TeV for different integrated luminosity values and final polarization configurations. Polarization improves the sensitivity bound of anomalous parameters as seen from Tables 3-8. As we expected, the best limits are obtained for the [mathematical expression not reproducible] polarization state.

The expected best sensitivities on [f.sub.S0]/[[LAMBDA].sup.4] and [f.sub.S1]/[[LAMBDA].sup.4] couplings in Tables 3-6 are far beyond the sensitivities of the LHC. Also, we observe that our limits for [f.sub.S0]/[[LAMBDA].sup.4] in Table 3 at [square root of s] = 1.4 TeV are competitive with the results in [6] and one order of magnitude better than the ones reported for the LHC with L = 100[fb.sup.-1] by [7]. Additionally, our limits for [square root of s] = 3 TeVare at the same order of magnitude with the LHC results for the L = 3000 [fb.sup.-1] and [square root of s] = 100 TeV. These results can be seen if Table 2 is compared to Table 4. Similar interpretations can be made for our bounds on [f.sub.S1]/[[LAMBDA].sup.4] from Tables 5 and 6.

In addition, we can see from Table 7 that the limits on [f.sub.T0]/[[LAMBDA].sup.4] for [square root of s] = 1.4 TeV are very close to the LHC bounds for 5a with 300 fb- for [square root of s] = 14 TeV. However, the bounds for [square root of s] = 100 TeV future hadron collider with L = 3000 [fb.sup.-1] are better than our limits on [f.sub.T0]/[[LAMBDA].sup.4] as stated from Table 8. In the meantime, the relation between linear and nonlinear parametrization is shown in [4] as the following formations:

[[alpha].sub.4] = [f.sub.S0]/[[LAMBDA].sup.4] [[upsilon].sup.4]/8, [[alpha].sub.4] = + 2[[alpha].sub.5] = [f.sub.S1]/[[LAMBDA].sup.4] [[upsilon].sup.4]/8. (6)

In [39] the authors study the nonlinear parametrization through the processes pp - [l.sup.[+ or -]][v.sub.l][l.sup.[+ or -]][v.sub.l]jj and pp [right arrow] [l.sup.[+ or -]][v.sub.l][l.sup.[- or +]][v.sub.l]jj at the LHC as mentioned above. This process can isolate the WWWW vertex. The best 95% CL bounds they have found are [[alpha].sub.4] = [-0.0011; 0.0016] and [[alpha].sub.5] = [-0.0022; 0.0016] for the [square root of s] =14 TeV and L = 3 [ab.sup.-1]. By using (6), these limits can be converted to linear parametrization. The results obtained in this case are [f.sub.S0]/[[LAMBDA].sup.4] = [-2.40 x [10.sup.-12]; 3.50 x [10.sup.-12]] Ge[V.sup.-4] and [f.sub.S1]/[[LAMBDA].sup.4] = [-1.20 x [10.sup.-11]; 1.75 x [10.sup.-11] Ge[V.sup.-4]. As seen from the Tables 4 and 6, these limits are of the same order as our best limits for the [f.sub.S0]/[[LAMBDA].sup.4], but the best limits we obtain for [f.sub.S1]/[[LAMBDA].sup.4] are one order of magnitude better. Additionally, when the 10% systematic uncertainty factor is taken into account, the sensitivity of our best obtained bounds decreases by about one order magnitude for [f.sub.S0]/[[LAMBDA].sup.4] and [f.sub.S1]/[[LAMBDA].sup.4] and 3-time decrease for [f.sub.T0]/[[LAMBDA].sup.4] coupling.

4. Conclusions

The CLIC is a high energy collider which has TeV scale energy and very high luminosity. Particularly, operating with its high energy and luminosity is extremely important in order to investigate the anomalous [f.sub.S0]/[[LAMBDA].sup.4], [f.sub.S1]/[[LAMBDA].sup.4], and [f.sub.T0]/[[LAMBDA].sup.4] couplings through the process [e.sup.+][e.sub.-] [right arrow] [v.sub.e][W.sup.- ][W.sup.+][[bar.v].sub.e]. Since the anomalous couplings depend on energy strongly, the cross sections that contain these couplings would have momentum dependence compared to those of the SM. We have found that the contribution of the anomalous quartic couplings to the total cross section increases with increasing center-of-mass energy. Because of the structure of [W.sup.-][W.sup.+][[bar.v].sub.e]) vertex, it is found that certain polarization of the beam increases the cross sections. In this respect, we find the better sensitivity for the [mathematical expression not reproducible] polarization state.

As a result, the CLIC with very clean experimental conditions and being free from strong interactions with respect to LHC, high colliding energy, and very high luminosity has a potential advantage over the LHC in studying the anomalous [f.sub.S0]/[[LAMBDA].sup.4], [f.sub.S1]/[[LAMBDA].sup.4], and [f.sub.T0]/[[LAMBDA].sup.4] couplings.

http://dx.doi.org/10.1155/2017/6970587

Competing Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

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A. Senol, (1) M. Koksal, (2) and S. C. Inan (3)

(1) Department of Physics, Abant Izzet Baysal University, 14280 Bolu, Turkey

(2) Department of Optical Engineering, Cumhuriyet University, 58140 Sivas, Turkey

(3) Department of Physics, Cumhuriyet University, 58140 Sivas, Turkey

Correspondence should be addressed to S. C. Inan; sceminan@cumhuriyet.edu.tr

Received 9 September 2016; Revised 30 November 2016; Accepted 21 December 2016; Published 11 January 2017

Academic Editor: Edward Sarkisyan-Grinbaum

Caption: Figure 1: The Feynman diagrams for the [e.sup.+][e.sup.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] process in the presence of anomalous quartic WWWW, [WWZ.sub.[gamma]], and WWZZ couplings.

Caption: Figure 2: The total cross section for [e.sup.+][e.sup.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.S0]/[[LAMBDA].sup.4] at the [square root of s] = 1.4 TeV for different polarization of the positron and electron beams.

Caption: Figure 3: The total cross section for [e.sup.+][e.sub.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.S0]/[[LAMBDA].sup.4] at the [square root of s] = 3 TeV for different polarization of the positron and electron beams.

Caption: Figure 4: The total cross section for [e.sup.+][e.sub.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.S1]/[[LAMBDA].sup.4] at the [square root of s] = 1.4 TeV for different polarization of the positron and electron beams.

Caption: Figure 5: The total cross section for [e.sup.+][e.sub.-] [right arrow] [v.sub.e][W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.S1]/[[LAMBDA].sup.4] at the [square root of s] = 3 TeV for different polarization of the positron and electron beams.

Caption: Figure 6: The total cross section for [e.sup.+][e.sub.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.T0]/[[LAMBDA].sup.4] at the = 1.4 TeV for different polarization of the positron and electron beams.

Caption: Figure 7: The total cross section for [e.sup.+][e.sub.-] [right arrow] [v.sub.e] [W.sup.-][W.sup.+][[bar.v].sub.e] processes as a function of [f.sub.T0]/[[LAMBDA].sup.4] at the [square root of s] = 3 TeV for different polarization of the positron and electron beams.
Table 1: Quartic vertices modified by each dimension-8 operator are
marked with X [4].

                                      WWWW   WWZZ   ZZZZ   WWAZ   WWAA

[L.sub.S0], [L.sub.S1]                 X      X      X
[L.sub.M0], [L.sub.M1], [L.sub.M6],    X      X      X      X      X
  [L.sub.M7]
[L.sub.M2], [L.sub.M3], [L.sub.M4],           X      X      X      X
  [L.sub.M5]
[L.sub.T0], [L.sub.T1], [L.sub.T2]     X      X      X      X      X
  [L.sub.T2]
[L.sub.T5], [L.sub.T6], [L.sub.T7]            X      X      X      X
[L.sub.T8], [[L.sub.T9]                              X

                                      ZZZA   ZZAA   ZAAA   AAAA

[L.sub.S0], [L.sub.S1]
[L.sub.M0], [L.sub.M1], [L.sub.M6],    X      X
  [L.sub.M7]
[L.sub.M2], [L.sub.M3], [L.sub.M4],    X      X
  [L.sub.M5]
[L.sub.T0], [L.sub.T1], [L.sub.T2]     X      X      X      X
  [L.sub.T2]
[L.sub.T5], [L.sub.T6], [L.sub.T7]     X      X      X      X
[L.sub.T8], [[L.sub.T9]                X      X      X      X

Table 2: Current sensitivity bounds on anomalous parameters for 95% CL
with 20.3 [fb.sup.-1] for [square root of s]  = 8 TeV [5], 99% CL with
100 [fb.sup.-1] for [square root of s] = 14 TeV [6], 95% CL with 100
[fb.sup.-1] for [square root of  s] = 14 TeV [7], 5[sigma] with 300
[fb.sup.-1] for [square root of  s] =14 TeV [8], and 95% CL with 3000
[fb.sup.-1] for [square root of  s] = 100 TeV [7].

L[fb.sup.-1]   [square root of s](TeV)   [F.sub.s0]/[[LAMBDA].sup.4]
                                               (Ge[V.sup.-4])

20.3 [5]                  8              [-0.13; 0.18] x [10.sup.-8]
100 [6]                  14              [-2.2; 2.4] x [10.sup.-11]
100 [7]                  14              [-1.8; 1.8] x [10.sup.-10]
300 [8]                  14                          --
3000 [7]                 100             [-2.9; 3.0] x [10.sup.-12]

L[fb.sup.-1]   [F.sub.s1]/[[LAMBDA].sup.4]  [F.sub.T0]/[[LAMBDA].sup.4]
                     (Ge[V.sup.-4])               (Ge[V.sup.-4])

20.3 [5]       [-0.25; 0.31] x [10.sup.-8]              --
100 [6]        [-2.5; 2.5] x [10.sup.-11]               --
100 [7]        [-2.7; 2.8] x [10.sup.-10]   [-5.8; 5.9] x [10.sup.-13]
300 [8]                    --               [-1.2; 1.2] x [10.sup.-12]
3000 [7]       [-1.3; 1.1] x [10.sup.-12]   [-3.7; 3.0] x [10.sup.-15]

Table 3: Sensitivity of f [F.sub.s0]/[[LAMBDA].sup.4]
 at 95% CL for [square root of s] = 1-4 TeV in units of Ge[V.sup.-4].

L([fb.sup.-1])            Unpolarized

50               [-10.02; 9.67] x [10.sup.-11]
250              [-6.76; 6.41] x [10.sup.-11]
500              [-5.71; 5.36] x [10.sup.-11]
750              [-5.18; 4.83] x [10.sup.-11]
1000             [-4.83; 4.48] x [10.sup.-11]
1250             [-4.58; 4.23] x [10.sup.-11]
1500             [-4.38; 4.04] x [10.sup.-11]

L([fb.sup.-1])   [mathematical expression not reproducible]

50                      [-8.63; 8.39] x [10.sup.-11]
250                     [-5.81; 5.57] x [10.sup.-11]
500                     [-4.91; 4.67] x [10.sup.-11]
750                     [-4.44; 4.21] x [10.sup.-11]
1000                    [-4.14; 3.90] x [10.sup.-11]
1250                    [-3.93; 3.69] x [10.sup.-11]
1500                    [-3.76; 3.52] x [10.sup.-11]

L([fb.sup.-1])   [mathematical expression not reproducible]

50                      [-7.72; 7.70] x [10.sup.-11]
250                     [-5.22; 4.90] x [10.sup.-11]
500                     [-4.41; 4.09] x [10.sup.-11]
750                     [-4.00; 3.69] x [10.sup.-11]
1000                    [-3.74; 3.42] x [10.sup.-11]
1250                    [-3.54; 3.23] x [10.sup.-11]
1500                    [-3.39; 3.08] x [10.sup.-11]

Table 4: Sensitivity of [f.sub.S0]/[[LAMBDA].sup.4] at 95% CL
for [square root of S] = 3TeV in units of Ge[V.sup.-4].

L ([fb.sup.-1])           Unpolarized

50               [-12.99; 12.27] x [10.sup.-12]
250              [-8.81; 8.09] x [10.sup.-12]
400              [-7.88; 7.16] x [10.sup.-12]
800              [-6.69; 5.96] x [10.sup.-12]
1200             [-6.08; 5.36] x [10.sup.-12]
1600             [-5.69; 4.96] x [10.sup.-12]
2000             [-5.40; 4.67] x [10.sup.-12]

L ([fb.sup.-1])  [mathematical expression not reproducible]

50                     [-11.26; 10.56] x [10.sup.-12]
250                     [-7.65; 6.95] x [10.sup.-12]
400                     [-6.84; 6.14] x [10.sup.-12]
800                     [-5.81; 5.11] x [10.sup.-12]
1200                    [-5.29; 4.59] x [10.sup.-12]
1600                    [-4.95; 4.25] x [10.sup.-12]
2000                    [-4.70; 4.00] x [10.sup.-12]

L ([fb.sup.-1])  [mathematical expression not reproducible]

50                      [-9.89; 9.51] x [10.sup.-12]
250                     [-6.68; 6.29] x [10.sup.-12]
400                     [-5.96; 5.58] x [10.sup.-12]
800                     [-5.04; 4.66] x [10.sup.-12]
1200                    [-4.56; 4.19] x [10.sup.-12]
1600                    [-4.27; 3.89] x [10.sup.-12]
2000                    [-4.05; 3.67] x [10.sup.-12]

Table 5: Sensitivity of [f.sub.S1]/[[LAMBDA].sup.4] at 95% CL for
[square root of S] = 1.4 TeV in units of Ge[V.sup.-4].

L([fb.sup.-1])            Unpolarized

50               [-6.82; 6.62] x [10.sup.-11]
250              [-4.60; 4.39] x [10.sup.-11]
500              [-3.88; 3.68] x [10.sup.-11]
750              [-3.52; 3.31] x [10.sup.-11]
1000             [-3.28; 3.08] x [10.sup.-11]
1250             [-3.11; 2.90] x [10.sup.-11]
1500             [-2.98; 2.77] x [10.sup.-11]

L ([fb.sup.-1])  [mathematical expression not reproducible]

50                      [-5.92; 5.69] x [10.sup.-11]
250                     [-3.99; 3.77] x [10.sup.-11]
500                     [-3.38; 3.15] x [10.sup.-11]
750                     [-3.06; 2.84] x [10.sup.-11]
1000                    [-2.86; 2.64] x [10.sup.-11]
1250                    [-2.71; 2.49] x [10.sup.-11]
1500                    [-2.59; 2.37] x [10.sup.-11]

L ([fb.sup.-1])  [mathematical expression not reproducible]

50                      [-5.26; 5.07] x [10.sup.-11]
250                     [-3.55; 3.36] x [10.sup.-11]
500                     [-2.99; 2.81] x [10.sup.-11]
750                     [-2.72; 2.53] x [10.sup.-11]
1000                    [-2.54; 2.35] x [10.sup.-11]
1250                    [-2.40; 2.22] x [10.sup.-11]
1500                    [-2.30; 2.11] x [10.sup.-11]

Table 6: Sensitivity of [f.sub.S1]/[[LAMBDA].sup.4] at 95% CL for
[square root of S] = 1.4 TeV in units of Ge[V.sup.-4].

L([fb.sup.-1])             Unpolarized

50                [-8.85; 7.99] x [10.sup.-12]
250               [-5.72; 5.16] x [10.sup.-12]
400               [-5.08; 4.52] x [10.sup.-12]
800               [-4.25; 3.69] x [10.sup.-12]
1200              [-3.82; 3.26] x [10.sup.-12]
1600              [-3.54; 2.98] x [10.sup.-12]
2000              [-3.33; 2.77] x [10.sup.-12]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                          [-7.62; 6.87] x [10.sup.-12]
250                         [-5.23; 4.47] x [10.sup.-12]
400                         [-4.70; 3.94] x [10.sup.-12]
800                         [-4.02; 3.26] x [10.sup.-12]
1200                        [-3.67; 2.91] x [10.sup.-12]
1600                        [-3.44; 2.69] x [10.sup.-12]
2000                        [-3.28; 2.52] x [10.sup.-12]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                          [-6.92; 5.97] x [10.sup.-12]
250                         [-4.80; 3.85] x [10.sup.-12]
400                         [-4.33; 3.38] x [10.sup.-12]
800                         [-3.73; 2.77] x [10.sup.-12]
1200                        [-3.42; 2.47] x [10.sup.-12]
1600                        [-3.22; 2.27] x [10.sup.-12]
2000                        [-3.08; 2.12] x [10.sup.-12]

Table 7: Sensitivity of [f.sub.T0]/[[LAMBDA].sup.4] at 95% CL
for [square root of S] = 1.4 TeV in units of Ge[V.sup.-4].

L ([fb.sup.-1])           Unpolarized

50                [-4.86; 3.25] x [10.sup.-12]
250               [-3.58; 1.97] x [10.sup.-12]
500               [-3.18; 1.57] x [10.sup.-12]
750               [-2.98; 1.37] x [10.sup.-12]
1000              [-2.85; 1.24] x [10.sup.-12]
1250              [-2.76; 1.15] x [10.sup.-12]
1500              [-2.68; 1.08] x [10.sup.-12]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                       [-4.30; 2.75] x [10.sup.-12]
250                      [-3.20; 1.65] x [10.sup.-12]
500                      [-2.86; 1.31] x [10.sup.-12]
750                      [-2.69; 1.14] x [10.sup.-12]
1000                     [-2.58; 1.03] x [10.sup.-12]
1250                     [-2.50; 0.95] x [10.sup.-12]
1500                     [-2.44; 0.89] x [10.sup.-12]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                       [-4.04; 2.38] x [10.sup.-12]
250                      [-3.07; 1.40] x [10.sup.-12]
500                      [-2.77; 1.10] x [10.sup.-12]
750                      [-2.61; 0.95] x [10.sup.-12]
1000                     [-2.52; 0.85] x [10.sup.-12]
1250                     [-2.45; 0.78] x [10.sup.-12]
1500                     [-2.40; 0.73] x [10.sup.-12]

Table 8: Sensitivity of [f.sub.T0]/[[LAMBDA].sup.4] at 95% CL for
[square root of s]  =3 TeV in units of GeV-4.

L ([fb.sup.-1])           Unpolarized

50                [-4.44; 3.09] x [10.sup.-13]
250               [-3.24; 1.90] x [10.sup.-13]
400               [-2.97; 1.63] x [10.sup.-13]
800               [-2.64; 1.30] x [10.sup.-13]
1200              [-2.47; 1.13] x [10.sup.-13]
1600              [-2.37; 1.03] x [10.sup.-13]
2000              [-2.29; 0.95] x [10.sup.-13]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                       [-3.91; 2.59] x [10.sup.-13]
250                      [-2.89; 1.57] x [10.sup.-13]
400                      [-6.84; 6.14] x [10.sup.-13]
800                      [-2.38; 1.07] x [10.sup.-13]
1200                     [-2.24; 0.92] x [10.sup.-13]
1600                     [-2.15; 0.83] x [10.sup.-13]
2000                     [-2.09; 0.77] x [10.sup.-13]

L ([fb.sup.-1])   [mathematical expression not reproducible]

50                       [-3.58; 2.24] x [10.sup.-13]
250                      [-2.68; 1.34] x [10.sup.-13]
400                      [-2.48; 1.14] x [10.sup.-13]
800                      [-2.24; 0.90] x [10.sup.-13]
1200                     [-2.11; 0.78] x [10.sup.-13]
1600                     [-2.04; 0.70] x [10.sup.-13]
2000                     [-1.98; 0.64] x [10.sup.-13]
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Title Annotation:Research Article
Author:Senol, A.; Koksal, M.; Inan, S.C.
Publication:Advances in High Energy Physics
Date:Jan 1, 2017
Words:6595
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