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