The MSR mass and the O({Λ}_{QCD}) renormalon sum rule
Abstract
We provide a detailed description and analysis of a lowscale shortdistance mass scheme, called the MSR mass, that is useful for highprecision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier lowscale shortdistance mass schemes, the MSR scheme has a direct connection to the well known \overline{MS} mass commonly used for highenergy applications, and is determined by heavy quark onshell selfenergy Feynman diagrams. Indeed, the MSR mass scheme can be viewed as the simplest extension of the \overline{MS} mass concept to renormalization scales ≪ m _{ Q }. The MSR mass depends on a scale R that can be chosen freely, and its renormalization group evolution has a linear dependence on R, which is known as Revolution. Using Revolution for the MSR mass we provide details of the derivation of an analytic expression for the normalization of the O(Λ_{QCD}) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(Λ_{QCD}) renormalon sum rule, and can be applied to any perturbative series. The relations of the MSR mass scheme to other lowscale shortdistance masses are analyzed as well.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2018
 DOI:
 10.1007/JHEP04(2018)003
 arXiv:
 arXiv:1704.01580
 Bibcode:
 2018JHEP...04..003H
 Keywords:

 Heavy Quark Physics;
 Perturbative QCD;
 Quark Masses and SM Parameters;
 Renormalization Regularization and Renormalons;
 High Energy Physics  Phenomenology
 EPrint:
 42 pages + appendices, 6 figures, v2: Refs and Appendix B added, Fig.3 changed from nl=4 to nl=5, v3: journal version