The MSR mass and the O(Λ[subscript QCD]) renormalon sum rule
Name
13130_2018_Article_7988.pdf
Size
1.37 MB
Format
Adobe PDF
Checksum (MD5)
17623c50ca218f3d810f09f616347714
Author(s)
Hoang, André H
Jain, Ambar
Lepenik, Christopher
Mateu, Vicent
Scimemi, Ignazio
Stewart, Iain W
Hoang, André H.
Preisser, Moritz
Date Issued
April 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Hoang, André H., et al. “The MSR Mass and the O (Λ[subscript QCD] Renormalon Sum Rule.” Journal of High Energy Physics, vol. 2018, no. 4, Apr. 2018. © 2017 Springer International Publishing AG
Version
Final published version
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 [bar over 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 [bar over MS] mass concept to renormalization scales ≪ m[subscript 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[subscript QCD]) renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the O(Λ[subscript 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. Keywords: Heavy Quark Physics, Perturbative QCD, Quark Masses and SM Parameters, Renormalization Regularization and Renormalons
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP04(2018)003
