Work

Interpolation of rational functions in loop calculations by using p-adic numbers

Year: 2024

Type: conference-paper

Abstract: The calculation and manipulation of large multi-variable rational functions is a key bottleneck in multi-loop calculations. In these conference proceedings, based on my article [Chawdhry (2023) arXiv:2312.03672], I present a technique to interpolate such rational functions in a compact form by evaluating them at special integer points chosen for their properties under a p-adic absolute value. I apply the technique to examples of large rational functions appearing in 2-loop 5-point massless non-planar amplitude calculations in Quantum Chromodynamics (QCD). The number of required numerical probes (per field) is found to be around 25 times smaller than in conventional techniques, and the obtained result is 130 times smaller.

Source: Loops and Legs in Quantum Field Theory (LL)

DOI: 10.22323/1.467.0037

Author: Herschel Chawdhry

Institution: Florida State University

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, European Commission, H2020 European Research Council

Awards: Highest Precision QCD predictions for a new era in Higgs boson phenomenology, G434337789, FLORIDA STATE UNIVERSITY HIGH ENERGY PHYSICS