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arXiv · 2012.07154

Mass corrections to the DGLAP equations

Ahmad Jamali Hafshejani·Abolfazl Mirjalili
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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.

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Ahmad Jamali Hafshejani, Abolfazl Mirjalili. 2020-12-13. Mass corrections to the DGLAP equations. https://doi.org/10.1103/physrevd.103.054026

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