vix.ing · top · new · best · stats · spec

Infrared scalar one-loop three point integrals in loop regularization

2022/11/16 by Jin Zhang, Zhang, Jin
Computer Science · Engineering · Physics and Astronomy · #Adaptive optics and wavefront sensing #Calibration and Measurement Techniques #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Optical measurement and interference techniques

paper · pdf · doi:10.48550/arxiv.2211.08720

openalex publication_date 2022/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The infrared divergent scalar three-point integrals are evaluated by the loop regularization method. Three kinds of infrared divergent integrals, i.e., massless triangle diagram, triangle diagrams with one and two massive internal lines, are systematically evaluated by loop regularization, analytic results are obtained. According the method, the infrared divergences are regulated by the so-called sliding scale μs which plays the role of infrared cutoff. The amplitudes obtained through loop regularization depend on μs such that we may extract different contribution by varying μs. Some general results for evaluation of scale one-loop triangle diagram are also derived.

Related