The MSR mass and the O({Λ}_{QCD}) renormalon sum rule
Abstract
We provide a detailed description and analysis of a low-scale short-distance mass scheme, called the MSR mass, that is useful for high-precision top quark mass determinations, but can be applied for any heavy quark Q. In contrast to earlier low-scale short-distance mass schemes, the MSR scheme has a direct connection to the well known \overline{MS} mass commonly used for high-energy applications, and is determined by heavy quark on-shell self-energy 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 R-evolution. Using R-evolution 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 low-scale short-distance masses are analyzed as well.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- April 2018
- DOI:
- 10.1007/JHEP04(2018)003
- arXiv:
- arXiv:1704.01580
- Bibcode:
- 2018JHEP...04..003H
- Keywords:
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- Heavy Quark Physics;
- Perturbative QCD;
- Quark Masses and SM Parameters;
- Renormalization Regularization and Renormalons;
- High Energy Physics - Phenomenology
- E-Print:
- 42 pages + appendices, 6 figures, v2: Refs and Appendix B added, Fig.3 changed from nl=4 to nl=5, v3: journal version