The full electroweak $\mathcal{O}(\alpha)$ corrections to $\gamma\gamma\rightarrow \ell^- \ell^+$

Abstract

We provide high-precision predictions for ℓ − ℓ + production (ℓ = 𝜇, 𝜏) at 𝛾𝛾 collisions by considering a complete set of one-loop order scattering amplitudes, i.e., full electroweak (EW) O (𝛼) corrections together with soft and hard QED radiation. We decompose the one-loop EW radiative corrections into the pure QED and Weak parts. The total corrections enhance the Born cross section within ten percent of total relative correction for both processes. Our results show that the full EW corrections must be included to improve a percent level accuracy.