Two-loop Vertices with Vacuum Polarization Insertion
High Energy Physics - Phenomenology
2024-01-24 v2 High Energy Physics - Theory
Abstract
We present the analytic evaluation of the second-order corrections to the massive form factors, due to two-loop vertex diagrams with a vacuum polarization insertion, with exact dependence on the external and internal fermion masses, and on the squared momentum transfer. We consider vector, axial-vector, scalar and pseudoscalar interactions between the external fermion and the external field. After renormalization, the finite expressions of the form factors are expressed in terms of polylogarithms up to weight three.
Keywords
Cite
@article{arxiv.2308.05028,
title = {Two-loop Vertices with Vacuum Polarization Insertion},
author = {Taushif Ahmed and Giulio Crisanti and Federico Gasparotto and Syed Mehedi Hasan and Pierpaolo Mastrolia},
journal= {arXiv preprint arXiv:2308.05028},
year = {2024}
}
Comments
20 pages, 3 figures, 2 ancillary files. v2: results.m ancillary file updated (constants in the expression "canonicalMasters" simplified, residual logarithms in the renormalisedFormFactorsGPLS converted to GPLS), final version