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Title: The MSR mass and the $$ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $$ renormalon sum rule

Here, 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 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 MS¯mass concept to renormalization scales << mQ. 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 $$ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $$ renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the $$ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $$ 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.
Authors:
 [1] ;  [2] ;  [1] ;  [3] ; ORCiD logo [4] ;  [5] ;  [6]
  1. Univ. of Vienna, Wien (Austria)
  2. Indian Institute of Science Education and Research Bhopal, Bhopal (India)
  3. Univ. de Salamanca, Salamanca (Spain); Instituto de Fisica Teorica UAM-CSIC, Madrid (Spain)
  4. Univ. of Vienna, Wien (Austria); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  5. Univ. Complutense de Madrid (UCM), Madrid (Spain)
  6. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Grant/Contract Number:
SC0011090
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Heavy Quark Physics; Perturbative QCD; Quark Masses and SM Parameters; Renormalization Regularization and Renormalons
OSTI Identifier:
1501475

Hoang, André H., Jain, Ambar, Lepenik, Christopher, Mateu, Vicent, Preisser, Moritz, Scimemi, Ignazio, and Stewart, Iain W.. The MSR mass and the $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ renormalon sum rule. United States: N. p., Web. doi:10.1007/jhep04(2018)003.
Hoang, André H., Jain, Ambar, Lepenik, Christopher, Mateu, Vicent, Preisser, Moritz, Scimemi, Ignazio, & Stewart, Iain W.. The MSR mass and the $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ renormalon sum rule. United States. doi:10.1007/jhep04(2018)003.
Hoang, André H., Jain, Ambar, Lepenik, Christopher, Mateu, Vicent, Preisser, Moritz, Scimemi, Ignazio, and Stewart, Iain W.. 2018. "The MSR mass and the $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ renormalon sum rule". United States. doi:10.1007/jhep04(2018)003. https://www.osti.gov/servlets/purl/1501475.
@article{osti_1501475,
title = {The MSR mass and the $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ renormalon sum rule},
author = {Hoang, André H. and Jain, Ambar and Lepenik, Christopher and Mateu, Vicent and Preisser, Moritz and Scimemi, Ignazio and Stewart, Iain W.},
abstractNote = {Here, 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 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 MS¯mass concept to renormalization scales << mQ. 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 $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ renormalon asymptotic behavior of the pole mass in perturbation theory. This is referred to as the $ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}\right) $ 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.},
doi = {10.1007/jhep04(2018)003},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}