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

Hoang, André H.; Jain, Ambar; Lepenik, Christopher; Mateu, Vicent; Preisser, Moritz; Scimemi, Ignazio; Stewart, Iain W.

doi:10.1007/jhep04(2018)003

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

Journal Article · Tue Apr 03 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2018)003· OSTI ID:1501475

Hoang, André H. ^[1]; Jain, Ambar ^[2]; Lepenik, Christopher ^[1]; Mateu, Vicent ^[3];

^[4]; Scimemi, Ignazio ^[5]; Stewart, Iain W. ^[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 UAM-CSIC, 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)

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011090

OSTI ID:: 1501475

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 4; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 29 works

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