Three and Two-Point One-Loop Integrals in Heavy Particle Effective Theories

TL;DR

This paper provides a comprehensive analytical solution for three and two-point loop integrals in heavy-particle theories, accommodating arbitrary external masses and momenta, which are crucial for theoretical calculations.

Contribution

It introduces a complete analytical computation method for specific loop integrals involving velocity change in heavy-particle effective theories, applicable to arbitrary parameters.

Findings

Analytical formulas for three-point integrals derived.

Analytical formulas for two-point integrals derived.

Applicable to arbitrary external masses and residual momenta.

Abstract

We give a complete analytical computation of three and two-point loop integrals occurring in heavy-particle theories, involving a velocity change, for arbitrary real values of the external masses and residual momenta.