Abstract

The anomalous quartic neutral couplings of the gamma gamma gamma gamma vertex in a polarized light-by-light scattering of the Compton backscattered photons at the CLIC are examined. Both differential and total cross sections are calculated for e^+e^- collision energies 1500 GeV and 3000 GeV. The helicity of the initial electron beams is taken to be pm ,0.8. The unpolarized and SM cross sections for the same values of helicities are also estimated. The 95% C.L. exclusion limits on two anomalous photon couplings zeta _1 and zeta _2 are calculated. The best bounds on these couplings are found to be 6.85 times 10^{-16} text { GeV}^{-4} and 1.43 times 10^{-15} text { GeV}^{-4}, respectively. The results are compared with the exclusion bounds obtained previously for the LHC and HL-LHC. It is shown that the light-by-light scattering at the CLIC, especially the polarized, has a greater potential to search for the anomalous quartic neutral couplings of the gamma gamma gamma gamma vertex.

Highlights

  • In the Standard Model (SM), the trilinear gauge couplings (TGCs) [1,2] and quartic gauge couplings (QGCs) [3,4,5,6] are completely defined by the non-Abelian SU (2)L × U (1)Y gauge symmetry

  • Anomalous TGCs and QGCs can be studied in a model independent way in the framework of the effective field theory (EFT) via Lagrangian [7,8,9,10]

  • I where is a mass-dimension scale associated with new physics, and ci are dimensionless constants

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Summary

Introduction

In the Standard Model (SM), the trilinear gauge couplings (TGCs) [1,2] and quartic gauge couplings (QGCs) [3,4,5,6] are completely defined by the non-Abelian SU (2)L × U (1)Y gauge symmetry. I where is a mass-dimension scale associated with new physics, and ci are dimensionless constants This Lagrangian induces anomalous deviation to the QGCs. It is assumed that the new interaction respects the local SU (2)L × U (1)Y symmetry which is broken spontaneously by the vacuum expectation value of the Higgs field. A complete list of dimension-8 operators which lead to anomalous quartic neutral gauge boson couplings is presented in [11,12,13]. We will examine the possibility of searching for anomalous γ γ γ γ couplings in the light-by-light (LBL) scattering with ingoing Compton backscattered (CB) photons at the CLIC. Both unpolarized and polarized initial photons will be considered. The LBL scattering at the CLIC induced by axion-like particles has been examined [54,55]

Light-by-light scattering in effective field theory
Conclusions
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