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 · 03 April 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: 35 works

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Naive nonabelianization and resummation of fermion bubble chains Beneke, M.; Braun, V. M. Physics Letters B, Vol. 348, Issue 3-4 https://doi.org/10.1016/0370-2693(95)00184-M	journal	April 1995
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Decoupling relations to O(αs3) and their connection to low-energy theorems Chetyrkin, K. G.; Kniehl, B. A.; Steinhauser, M. Nuclear Physics B, Vol. 510, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)81004-3	journal	January 1998
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The bottom-quark mass from non-relativistic sum rules at NNNLO Beneke, M.; Maier, A.; Piclum, J. RWTH Aachen University https://doi.org/10.18154/rwth-2015-03662	text	January 2015
Charm Quark Mass with Calibrated Uncertainty Erler, Jens Paul Arthur; Masjuan, Pere; Spiesberger, Hubert Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017) https://doi.org/10.22323/1.314.0373	conference	March 2018
Top Quark Mass Calibration for Monte Carlo Event Generators Butenschoen, Mathias; Dehnadi, Bahman; Hoang, André H. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-00569	text	January 2016
Two-loop Jet-Function and Jet-Mass for Top Quarks Jain, Ambar; Scimemi, Ignazio; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.0801.0743	text	January 2008
Infrared Renormalization Group Flow for Heavy Quark Masses Hoang, Andre H.; Jain, Ambar; Scimemi, Ignazio arXiv https://doi.org/10.48550/arxiv.0803.4214	text	January 2008
The second physical moment of the heavy quark vector correlator at O(alpha_s^3) Maier, A.; Maierhoefer, P.; Marquard, P. arXiv https://doi.org/10.48550/arxiv.0806.3405	text	January 2008
Three-loop static potential Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias arXiv https://doi.org/10.48550/arxiv.0911.4742	text	January 2009
Bottom-quark mass from finite energy QCD sum rules Bodenstein, S.; Bordes, J.; Dominguez, C. A. arXiv https://doi.org/10.48550/arxiv.1111.5742	text	January 2011
Power Corrections to Event Shapes with Mass-Dependent Operators Mateu, Vicent; Stewart, Iain W.; Thaler, Jesse arXiv https://doi.org/10.48550/arxiv.1209.3781	text	January 2012
A new observable to measure the top-quark mass at hadron colliders Alioli, Simone; Fernandez, Patricia; Fuster, Juan arXiv https://doi.org/10.48550/arxiv.1303.6415	text	January 2013
Two loop soft function for secondary massive quarks Gritschacher, Simon; Hoang, Andre; Jemos, Ilaria arXiv https://doi.org/10.48550/arxiv.1309.6251	text	January 2013
The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties Hoang, Andre; Stahlhofen, Maximilian arXiv https://doi.org/10.48550/arxiv.1309.6323	text	January 2013
Determination of the top quark mass from leptonic observables Frixione, Stefano; Mitov, Alexander arXiv https://doi.org/10.48550/arxiv.1407.2763	text	January 2014
Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order Kiyo, Y.; Sumino, Y. arXiv https://doi.org/10.48550/arxiv.1408.5590	text	January 2014
Five-Loop Running of the QCD coupling constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. arXiv https://doi.org/10.48550/arxiv.1606.08659	text	January 2016
On the Light Massive Flavor Dependence of the Large Order Asymptotic Behavior and the Ambiguity of the Pole Mass Hoang, Andre H.; Lepenik, Christopher; Preisser, Moritz arXiv https://doi.org/10.48550/arxiv.1706.08526	text	January 2017
Charm Quark Mass with Calibrated Uncertainty Erler, Jens; Masjuan, Pere; Spiesberger, Hubert arXiv https://doi.org/10.48550/arxiv.1707.09404	preprint	January 2017
The Three-Loop Splitting Functions in QCD: The Non-Singlet Case Moch, S.; Vermaseren, J. A. M.; Vogt, A. arXiv https://doi.org/10.48550/arxiv.hep-ph/0403192	text	January 2004
Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin Beneke, M.; Kiyo, Y.; Schuller, K. arXiv https://doi.org/10.48550/arxiv.hep-ph/0501289	text	January 2005
Four-Loop Tadpoles: Applications in QCD Boughezal, R.; Czakon, M.; Schutzmeier, T. arXiv https://doi.org/10.48550/arxiv.hep-ph/0607141	text	January 2006
Jets from Massive Unstable Particles: Top-Mass Determination Fleming, Sean; Hoang, Andre H.; Mantry, Sonny arXiv https://doi.org/10.48550/arxiv.hep-ph/0703207	text	January 2007
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Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term Beneke, M.; Braun, V. M. arXiv https://doi.org/10.48550/arxiv.hep-ph/9402364	text	January 1994
A quark mass definition adequate for threshold problems Beneke, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/9804241	text	January 1998

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