Subleading terms in asymptotic Passarino-Veltman functions

TL;DR

This paper derives explicit asymptotic formulas for Passarino-Veltman functions, including subleading terms, to aid high-energy one-loop calculations in particle physics.

Contribution

It provides self-contained asymptotic expressions for tensorial Passarino-Veltman functions, including subleading terms, which were not previously explicitly detailed.

Findings

Explicit formulas include quadratic and linear logarithmic terms.

Constant subleading terms are derived and included.

Expressions are useful for high-energy one-loop process analysis.

Abstract

We write explicit and self-contained asymptotic expressions for the tensorial B, C and D Passarino-Veltman functions. These include quadratic and linear logarithmic terms, as well as subleading constant terms. Only mass-suppressed O(m^2/s) contributions are neglected. We discuss the usefulness of such expressions, particularly for studying one-loop effects in 2-to-2 body processes at high energy.