Standard Model light-by-light scattering in SANC: analytic and numeric evaluation

Abstract

In this paper we describe the implementation of the SM process $\gamma \gamma \to \gamma \gamma$ through a fermion and boson loops into the framework of SANC system. The computations of this process takes into account non-zero mass of loop particles. We briefly describe additional precomputation modules used for calculation of massive box diagrams. We present the covariant and helicity amplitudes for this process, some particular cases of $D_0$ and $C_0$ Passarino--Veltman functions and also numerical results of corresponding SANC module evaluation. Whenever possible, we compare the results with those existing in the literature.

15 pages, 12 figures

References in corpus (4)

• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Standard SANC Modules
• A FORTRAN code for $\gamma \gamma \to ZZ$ in SM and MSSM
• Light-by-light scattering in SANC

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• Light-by-light scattering in ultra-peripheral heavy-ion collisions at low diphoton masses
• Hadron Collider Probes of the Quartic Couplings of Gluons to the Photon and $Z$ Boson
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Searches for axion-like particles via $\gamma \gamma$ fusion at future ${\mathrm{e}}^{+}{\mathrm{e}}^{-}$ colliders
• The role of meson exchanges in light-by-light scattering
• $Z\gamma \gamma \gamma \to 0$ processes in SANC
• SANC: the process $\gamma \gamma \to ZZ$
• New Results for Ultraperipheral Heavy Ion Collisions
• A realistic photon spectra in polarized γγ processes in SANCphot