Inelastic photon–photon scattering with neutrino pair formation

V. V. Skobelev

Moscow Polytechnic University, Moscow, Russia

Abstract: We calculate the amplitude of the process of generating a pair of a massive neutrino and antineutrino, to which a third-rank tensor caused by the contribution of an electron “three-pole” with two vector vertices and one “weak” vertex corresponds. We analyze procedures for reducing logarithmic divergences when integrating over the loop momentum and gauge-noninvariant contributions, obtaining a final gauge-invariant and finite result. We find the cross section for this inelastic process.

Keywords: neutrino, photon, scattering, triangular diagram, logarithmic divergence, gauge invariance, reduction.

Received: 04.03.2025
Revised: 23.04.2025

DOI: 10.4213/tmf10972

 English version: Theoretical and Mathematical Physics, 2025, 225:1, 1859–1867

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