Three-loop functions for a quartic model with a cutoff

TL;DR

This paper provides numerical three-loop calculations of beta function coefficients for a four-dimensional quartic model using a specific regularization method, enhancing precision in quantum field theory analyses.

Contribution

It introduces new numerical values for three-loop integrals and beta function coefficients in a quartic model with a cutoff, using a specialized regularization approach.

Findings

Numerical values for three-loop integrals are computed.

Comparison with previous results shows consistency.

Enhanced accuracy in beta function coefficients.

Abstract

This paper presents numerical values for auxiliary integrals and coefficients of the beta function in the three-loop approximation for a four-dimensional model with a quartic interaction, using a special type of regularization function. The values are compared to previously obtained results.