The MSR mass and the O(Λ<sub>QCD</sub>) renormalon sum rule
- Author(s)
- Andre H. Hoang, Ambar Jain, Christopher Lepenik, Vicent Mateu, Moritz Preisser, Ignazio Scimemi, Iain W. Stewart
- 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 M S ¯ 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 M S ¯ 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
Q C D) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(Λ
Q C D) 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.
- Organisation(s)
- Particle Physics, Research Platform Erwin Schrödinger International Institute for Mathematics and Physics
- External organisation(s)
- Universidad de Salamanca, Spanish National Research Council (CSIC), Massachusetts Institute of Technology, Universidad Complutense De Madrid, Indian Institute of Science
- Journal
- Journal of High Energy Physics
- Volume
- 2018
- No. of pages
- 58
- ISSN
- 1029-8479
- Publication date
- 04-2018
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/the-msr-mass-and-the-oqcd-renormalon-sum-rule(cd5ad8c4-dfba-4a13-8a59-2a5853c25103).html