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 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 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 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 Revolution. Using Revolution 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 lowscale shortdistance masses are analyzed as well.
 Authors:

^{[1]};
^{[2]};
^{[1]};
^{[3]};
^{[4]}
;
^{[5]};
^{[6]}
 Univ. of Vienna, Wien (Austria)
 Indian Institute of Science Education and Research Bhopal, Bhopal (India)
 Univ. de Salamanca, Salamanca (Spain); Instituto de Fisica Teorica UAMCSIC, Madrid (Spain)
 Univ. of Vienna, Wien (Austria); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Univ. Complutense de Madrid (UCM), Madrid (Spain)
 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 10298479
 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 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 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 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 Revolution. Using Revolution 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 lowscale shortdistance 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}
}