Three-loop topology analysis of neutral B-meson mixing with tapir

TL;DR

This paper introduces tapir, a software tool designed to efficiently analyze three-loop Feynman diagram topologies for precise predictions in neutral B-meson mixing, enhancing computational reliability and extendability.

Contribution

The paper presents tapir, a new software architecture that simplifies three-loop topology analysis in quantum field theory calculations, specifically applied to B-meson mixing.

Findings

tapir effectively reduces diagram complexity in three-loop calculations

it streamlines the evaluation of Feynman integrals by identifying topological structures

the tool improves the efficiency and maintainability of complex quantum field theory computations

Abstract

Modern advances in particle physics depend strongly on the usage of reliable computer programs. In this context two issues become important: The usage of powerful algorithms to handle the amount of evaluated data properly, and a software architecture capable to overcome the problems of maintainability and extendability. We present our approach to such a computer program, called tapir. This tool assists computations in perturbative quantum field theory in many ways. Such calculations often involve the evaluation of a large amount of Feynman diagrams with multiple loops. tapir helps in reducing the number of diagrams, and the resulting integrals thereof, by identifying and minimizing their topological structure. We will focus on a three-loop calculation which is needed for the next-to-next-to leading order predictions of neutral $B$-meson systems. We show how tapir can be utilized for this kind of calculation.