English

Mass corrections to the DGLAP equations

High Energy Physics - Phenomenology 2021-03-31 v1

Abstract

We propose a mass-dependent MOM scheme to renormalize UV divergence of unpolarized PDFs at one-loop order. This approach which is based on a once subtracted dispersion relation does not need any regulator. The overall counterterms are obtained from the imaginary part of large transverse momentum region in loop integrals. The mass-dependent characteristic of the scheme yields to mass-dependent splitting functions for the DGLAP evolution equations. While the flavor number is fixed at any renormalization scale, the decoupling theorem is automatically imposed by the mass-dependent splitting functions. The required symmetries are also automatically respected by our prescription.

Cite

@article{arxiv.2012.07154,
  title  = {Mass corrections to the DGLAP equations},
  author = {Ahmad Jamali Hafshejani and Abolfazl Mirjalili},
  journal= {arXiv preprint arXiv:2012.07154},
  year   = {2021}
}

Comments

8 pages,8 figures

R2 v1 2026-06-23T20:56:10.633Z