pith. sign in

arxiv: 1809.04325 · v3 · pith:E7YBFHLRnew · submitted 2018-09-12 · ✦ hep-th · hep-ph· math-ph· math.CA· math.MP

On the status of expansion by regions

classification ✦ hep-th hep-phmath-phmath.CAmath.MP
keywords expansiongivenconjectureregionssimplesomestatuscase
0
0 comments X
read the original abstract

We discuss the status of expansion by regions, i.e. a well-known strategy to obtain an expansion of a given multiloop Feynman integral in a given limit where some kinematic invariants and/or masses have certain scaling measured in powers of a given small parameter. Using the Lee-Pomeransky parametric representation, we formulate the corresponding prescriptions in a simple geometrical language and make a conjecture that they hold even in a much more general case. We prove this conjecture in some partial cases and illustrate them in a simple example.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Progress on the soft anomalous dimension in QCD

    hep-ph 2026-04 unverdicted novelty 6.0

    A lightcone-expansion strategy using Wilson-line correlators and the Method of Regions yields the three-loop soft anomalous dimension for QCD amplitudes with one massive colored particle and arbitrary massless ones.