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

Hoang, André H.; Lepenik, Christopher; Preisser, Moritz

doi:10.1007/JHEP09(2017)099

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

Journal Article · 20 September 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP09(2017)099 · OSTI ID:1424967

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

^[3]

Univ. of Vienna (Austria). Faculty of Physics; Erwin SchrÃÂ¶dinger International Inst. for Mathematical Physics, Vienna (Austria); Massachusetts Institute of Technology
Univ. of Vienna (Austria). Faculty of Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics; Univ. of Vienna (Austria). Faculty of Physics

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.

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Erwin Schrödinger International Inst. for Mathematical Physics, Vienna (Austria)

Grant/Contract Number:: SC0011090

OSTI ID:: 1424967

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (35)

A discussion on leading renormalon in the pole mass Komijani, J. Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)062	journal	August 2017
The bottom quark mass from the ϒ 1 S $$ \boldsymbol{\Upsilon} (1S) $$ system at NNNLO Ayala, César; Cvetič, Gorazd; Pineda, Antonio Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)045	journal	September 2014
Weak decays of heavy mesons in the static quark approximation Isgur, Nathan; Wise, Mark B. Physics Letters B, Vol. 232, Issue 1 https://doi.org/10.1016/0370-2693(89)90566-2	journal	November 1989
The pole mass in perturbative QCD Tarrach, R. Nuclear Physics B, Vol. 183, Issue 3 https://doi.org/10.1016/0550-3213(81)90140-1	journal	June 1981
Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass Ball, Patricia; Beneke, M.; Braun, V. M. Nuclear Physics B, Vol. 452, Issue 3 https://doi.org/10.1016/0550-3213(95)00392-6	journal	October 1995
Renormalons Beneke, M. Physics Reports, Vol. 317, Issue 1-2 https://doi.org/10.1016/S0370-1573(98)00130-6	journal	August 1999
The three-loop relation between the and the pole quark masses Melnikov, Kirill; Ritbergen, Timo van Physics Letters B, Vol. 482, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00507-4	journal	June 2000
Charm effects in the bottom quark mass from ϒ mesons Hoang, A. H.; Manohar, A. V. Physics Letters B, Vol. 483, Issue 1-3 https://doi.org/10.1016/S0370-2693(00)00595-5	journal	June 2000
A quark mass definition adequate for threshold problems Beneke, M. Physics Letters B, Vol. 434, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00741-2	journal	August 1998
The relation between the and the on-shell quark mass at order αs3 Chetyrkin, K. G.; Steinhauser, M. Nuclear Physics B, Vol. 573, Issue 3 https://doi.org/10.1016/S0550-3213(99)00784-1	journal	May 2000
Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order Marquard, P.; Mihaila, L.; Piclum, J. H. Nuclear Physics B, Vol. 773, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.03.010	journal	June 2007
Charm quark mass from inclusive semileptonic B decays Hoang, André H.; Manohar, Aneesh V. Physics Letters B, Vol. 633, Issue 4-5 https://doi.org/10.1016/j.physletb.2005.12.020	journal	February 2006
Measurement of the top quark mass in the t t ¯ → dilepton channel from s = 8 TeV ATLAS data Aaboud, M.; Aad, G.; Abbott, B. Physics Letters B, Vol. 761 https://doi.org/10.1016/j.physletb.2016.08.042	journal	October 2016
Taming the higher power corrections in semileptonic B decays Gambino, Paolo; Healey, Kristopher J.; Turczyk, Sascha Physics Letters B, Vol. 763 https://doi.org/10.1016/j.physletb.2016.10.023	journal	December 2016
Determination of the bottom quark mass from the Υ(1 S ) system Pineda, Antonio Journal of High Energy Physics, Vol. 2001, Issue 06 https://doi.org/10.1088/1126-6708/2001/06/022	journal	May 2001
Light quark mass effects in the on-shell renormalization constants Bekavac, Stefan; Seidel, Dirk; Steinhauser, Mathias Journal of High Energy Physics, Vol. 2007, Issue 10 https://doi.org/10.1088/1126-6708/2007/10/006	journal	October 2007
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016
Pole mass of the heavy quark: Perturbation theory and beyond Bigi, I. I.; Shifman, M. A.; Uraltsev, N. G. Physical Review D, Vol. 50, Issue 3 https://doi.org/10.1103/PhysRevD.50.2234	journal	August 1994
Perturbative pole mass in QCD Kronfeld, Andreas S. Physical Review D, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevD.58.051501	journal	July 1998
Massive fermionic corrections to the heavy quark potential through two loops Melles, Michael Physical Review D, Vol. 58, Issue 11 https://doi.org/10.1103/PhysRevD.58.114004	journal	October 1998
B decays in the upsilon expansion Hoang, Andre H.; Ligeti, Zoltan; Manohar, Aneesh V. Physical Review D, Vol. 59, Issue 7 https://doi.org/10.1103/PhysRevD.59.074017	journal	March 1999
1 S and MS ¯ bottom quark masses from Υ sum rules Hoang, A. H. Physical Review D, Vol. 61, Issue 3 https://doi.org/10.1103/PhysRevD.61.034005	journal	December 1999
Fit to moments of inclusive B → X c ℓ ν ¯ and B → X s γ decay distributions using heavy quark expansions in the kinetic scheme Buchmüller, O. L.; Flächer, H. U. Physical Review D, Vol. 73, Issue 7 https://doi.org/10.1103/PhysRevD.73.073008	journal	April 2006
Measurement of the top quark mass using proton-proton data at ( s ) = 7 and 8 TeV Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A. Physical Review D, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevD.93.072004	journal	April 2016
MS ¯ -on-shell quark mass relation up to four loops in QCD and a general SU ( N ) gauge group Marquard, Peter; Smirnov, Alexander V.; Smirnov, Vladimir A. Physical Review D, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevD.94.074025	journal	October 2016
Combination of D0 measurements of the top quark mass Abazov, V. M.; Abbott, B.; Acharya, B. S. Physical Review D, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevD.95.112004	journal	June 2017
Infrared Renormalization-Group Flow for Heavy-Quark Masses Hoang, André H.; Jain, Ambar; Scimemi, Ignazio Physical Review Letters, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevLett.101.151602	journal	October 2008
Quark Mass Relations to Four-Loop Order in Perturbative QCD Marquard, Peter; Smirnov, Alexander V.; Smirnov, Vladimir A. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.142002	journal	April 2015
Top Quark Mass Calibration for Monte Carlo Event Generators Butenschoen, Mathias; Dehnadi, Bahman; Hoang, André H. Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/PhysRevLett.117.232001	journal	November 2016
Five-Loop Running of the QCD Coupling Constant Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 118, Issue 8 https://doi.org/10.1103/PhysRevLett.118.082002	journal	February 2017
Non-Abelian Dipole Radiation and the Heavy Quark Expansion Czarnecki, Andrzej; Melnikov, Kirill; Uraltsev, Nikolai Physical Review Letters, Vol. 80, Issue 15 https://doi.org/10.1103/PhysRevLett.80.3189	journal	April 1998
B Decay and the ϒ Mass Hoang, Andre H.; Ligeti, Zoltan; Manohar, Aneesh V. Physical Review Letters, Vol. 82, Issue 2 https://doi.org/10.1103/PhysRevLett.82.277	journal	January 1999
Short-Distance Mass of a Heavy Quark at Order α s 3 Chetyrkin, K. G.; Steinhauser, M. Physical Review Letters, Vol. 83, Issue 20 https://doi.org/10.1103/PhysRevLett.83.4001	journal	November 1999
Strong-Coupling Constant with Flavor Thresholds at Five Loops in the Modified Minimal-Subtraction Scheme Kniehl, B. A.; Kotikov, A. V.; Onishchenko, A. I. Physical Review Letters, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevLett.97.042001	journal	July 2006
On the flavour dependence of the $O(\alpha_{s}^{4})$ correction to the relation between running and pole heavy quark masses Kataev, A. L.; Molokoedov, V. S. The European Physical Journal Plus, Vol. 131, Issue 8 https://doi.org/10.1140/epjp/i2016-16271-7	journal	August 2016

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

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