LOOL: Mathematica package for evaluating leading order one loop functions

TL;DR

LOOL is a Mathematica package that simplifies the evaluation of leading order one-loop functions by expanding in external masses and momenta, enabling quick numerical computations for particle physics observables.

Contribution

It introduces a Mathematica package with two subroutines for analytical and numerical evaluation of expanded one-loop functions, streamlining complex calculations.

Findings

Efficient evaluation of one-loop functions through expansion.

Significant reduction in computational time for numerical results.

Facilitates precise calculations in particle physics models.

Abstract

One-loop functions with loop masses larger than external masses and momenta can always be expanded in terms of external masses and momenta. The precision requested for observables determines the number of the expansion terms retained in the evaluation. The evaluation of these expansion terms turns out to be much simpler than the exact evaluation of the corresponding one-loop function. Here we present the program which evaluates those expansion terms. This Mathematica package provides two subroutines. First one performs analytical evaluation of basic one loop integrals. The second one is used to construct composite functions out of those integrals. Composite functions thus obtained are ready for numerical evaluation with literary no time consumption.