Abstract
We provide high-precision predictions for muon-pair and tau-pair productions in a photon-photon collision by considering a complete set of one-loop-level scattering amplitudes, i.e., electroweak (EW) corrections together with soft and hard QED radiation. Accordingly, we present a detailed numerical discussion with particular emphasis on the pure QED corrections as well as genuinely weak corrections. The effects of angular and initial beam polarization distributions on production rates are also discussed. An improvement is observed by a factor of two with oppositely polarized photons. Our results indicate that the one-loop EW radiative corrections enhance the Born cross section and the total relative correction is typically about 10% for both production channels. It appears that the full EW corrections to $\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\rightarrow}{\ensuremath{\ell}}^{\ensuremath{-}}{\ensuremath{\ell}}^{+}$ are required to match a percent level accuracy.
Highlights
The Standard Model (SM) of particle physics [1,2,3] has been perfectly proved as a self-consistent gauge theory with a weakly-coupled sector for electroweak (EW) symmetry breaking with the discovery of a 125 GeV of Higgs boson [4,5] and the ever-increasing confidence of its compatibility with the SM Higgs boson [6] at the LHC
We show their effect on the total cross section with the relative corrections previously defined in Eq (2.24)
A complete set of one-loop EW corrections must be included in production channels to ensure sufficient precision
Summary
The Standard Model (SM) of particle physics [1,2,3] has been perfectly proved as a self-consistent gauge theory with a weakly-coupled sector for electroweak (EW) symmetry breaking with the discovery of a 125 GeV of Higgs boson [4,5] and the ever-increasing confidence of its compatibility with the SM Higgs boson [6] at the LHC With this achievement, further challenges of particle physics lie in expanding the current theory to explain phenomena beyond the SM (BSM), like dark matter, the hierarchy problem, the strong CP problem, and the generation of a baryon asymmetry, and improve the accurate measurement of observed phenomena. The clean circumstances in these facilities would ensure that the interested phenomena
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