Title: On the light massive flavor dependence of the large order asymptotic behavior and the ambiguity of the pole mass

Abstract

Here, we provide a systematic renormalization group formalism for the mass effects in the relation of the pole mass m _Q^pole and short-distance masses such as the $$—\atop{MS}$$ mass $$—\atop{m}$$_Q of a heavy quark Q, coming from virtual loop insertions of massive quarks lighter than Q. The formalism reflects the constraints from heavy quark symmetry and entails a combined matching and evolution procedure that allows to disentangle and successively integrate out the corrections coming from the lighter massive quarks and the momentum regions between them and to precisely control the large order asymptotic behavior. With the formalism we systematically sum logarithms of ratios of the lighter quark masses and m _Q , relate the QCD corrections for different external heavy quarks to each other, predict the O(α$$4\atop{s}$$) virtual quark mass corrections in the pole-$$—\atop{MS}$$ mass relation, calculate the pole mass differences for the top, bottom and charm quarks with a precision of around 20 MeV and analyze the decoupling of the lighter massive quark flavors at large orders. The summation of logarithms is most relevant for the top quark pole mass m _t^pole, where the hierarchy to the bottom and charm quarks is large. We determine the ambiguity of the pole mass for top, bottom and charm quarks in different scenarios with massive or massless bottom and charm quarks in a way consistent with heavy quark symmetry, and we find that it is 250 MeV. The ambiguity is larger than current projections for the precision of top quark mass measurements in the high-luminosity phase of the LHC.

Authors:

Hoang, André H. ^[1]; Lepenik, Christopher ^[2]; Preisser, Moritz  ^[3]

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+ Show Author Affiliations

1. Univ. of Vienna (Austria). Faculty of Physics; Erwin Schrödinger International Inst. for Mathematical Physics, Vienna (Austria)
2. Univ. of Vienna (Austria). Faculty of Physics
3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics; Univ. of Vienna (Austria). Faculty of Physics

Publication Date:

2017-09-20

Research Org.:

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

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP); Erwin Schrödinger International Inst. for Mathematical Physics, Vienna (Austria)

OSTI Identifier:

1424967

Grant/Contract Number:  

SC0011090

Resource Type:

Accepted Manuscript

Journal Name:

Journal of High Energy Physics (Online)

Additional Journal Information:

Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:

Springer Berlin

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