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

Cited by 54 publications

(82 citation statements)

References 43 publications

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“…For the top-quark pole mass, the pure QCD contributions are known at 1-loop [59], 2-loop [60], 3-loop [61][62][63], and 4-loop [64,65] orders; these results also apply to the light quark pole masses in the decoupled theory. Contributions and uncertainty estimates from higher orders in QCD are discussed in [66][67][68][69][70]. The non-QCD 1-loop corrections to fermion pole masses were given in [71,72].…”

Section: Introductionmentioning

confidence: 99%

Matching relations for decoupling in the standard model at two loops and beyond

Martin

2019

Phys. Rev. D

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I discuss the matching relations for the running renormalizable parameters when the heavy particles (top quark, Higgs scalar, Z and W vector bosons) are simultaneously decoupled from the Standard Model. The complete two-loop order matching for the electromagnetic coupling and all light fermion masses are obtained, augmenting existing results at 4-loop order in pure QCD and complete two-loop order for the strong coupling. I also review the further sequential decouplings of the lighter fermions (bottom quark, tau lepton, and charm quark) from the low-energy effective theory. Contents I. Introduction 2 II. Decoupling relations in the Standard Model 7 A. Matching of α 8 B. Matching of α S 11 C. Matching of running fermion masses 12 III. Decoupling of lighter fermions in the QCD+QED effective theory 15 IV. Numerical results 18 V. Outlook 22 References 22 † The Landau gauge Standard Model effective potential and its minimization condition are presently known to full 2-loop [8, 9] and 3-loop [10, 11] orders, and the 4-loop part only at leading order in QCD [12].These results make use of Goldstone boson resummation [13,14], and employ 3-loop vacuum integral basis functions defined and evaluated by [15]; for an alternative evaluation method see [16]. In particular, refs. [11,12] provide the formulas relating the VEV v used here to the tree-level VEV v tree = −m 2 H /λ used in many other works, which therefore must [17] include tadpole graphs. Outside of Landau gauge, the effective potential is much more complicated at 2-loop order [18], and not known at 3-loop order.

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Section: Introductionmentioning

confidence: 99%

Matching relations for decoupling in the standard model at two loops and beyond

Martin

2019

Phys. Rev. D

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“…In the this talk we discuss Ref. [24] where we introduced a renormalization group framework, which is capable of describing exactly that and which allows to disentangle the momentum modes contributing to the pole-MS mass relation and resum the logarithms of quark mass ratios which arise in this multi-scale problem.…”

Section: Bottom and Charm Mass Dependencementioning

confidence: 99%

“…Including the bottom and charm quark as massive flavors, the pole-MS mass relation for the top quark can be written in the form [24] …”

Section: Integrating Out the Top And R-evolutionmentioning

confidence: 99%

“…Prior to our work [24] the large-order asymptotic behavior of these corrections and a systematic approach to the flavor decoupling described in the previous paragraph was unknown. In the this talk we discuss Ref.…”

Section: Bottom and Charm Mass Dependencementioning

confidence: 99%

“…In the presence of massive bottom and charm quarks (i.e. for R scales between top and bottom mass) the top quark MSR mass is then defined through [24] …”

Section: Integrating Out the Top And R-evolutionmentioning

confidence: 99%

See 2 more Smart Citations

On the light massive flavor dependence of the top quark mass

Hoang

Lepenik

Preisser

2018

Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) —

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We provide a systematic renormalization group formalism to study the mass effects in the relation of the pole mass and short-distance masses such as the MS mass of a heavy quark Q, coming from virtual loop insertions of massive quarks lighter than Q with the main focus on the top quark. 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 also to precisely control the large order asymptotic behavior. The formalism is used to study the asymptotic behavior of light massive flavor contributions and is applied to predict the O(α 4 s ) virtual quark mass corrections, calculate the pole mass differences for massive quark flavors with a precision of around 20 MeV, and determine the pole mass ambiguity which amounts to 250 MeV in the physical case of three massless quark flavors.

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Bottom and charm mass determinations from global fits to Q Q ¯ $$ Q\overline{Q} $$ bound states at N3LO

Mateu

Ortega

2018

J. High Energ. Phys.

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Abstract:The bottomonium spectrum up to n = 3 is studied within Non-Relativistic Quantum Chromodynamics up to N 3 LO. We consider finite charm quark mass effects both in the QCD potential and the MS-pole mass relation up to third order in the Υ-scheme counting. The u = 1/2 renormalon of the static potential is canceled by expressing the bottom quark pole mass in terms of the MSR mass. A careful investigation of scale variation reveals that, while n = 1, 2 states are well behaved within perturbation theory, n = 3 bound states are no longer reliable. We carry out our analysis in the n = 3 and n = 4 schemes and conclude that, as long as finite m c effects are smoothly incorporated in the MSR mass definition, the difference between the two schemes is rather small. Performing a fit to bb bound states we find m b (m b ) = 4.216 ± 0.039 GeV. We extend our analysis to the lowest lying charmonium states finding m c (m c ) = 1.273 ± 0.054 GeV. Finally, we perform simultaneous fits for m b and α s finding α (n f =5) s (m Z ) = 0.1178 ± 0.0051. Additionally, using a modified version of the MSR mass with lighter massive quarks we are able to predict the uncalculated O(α 4 s ) virtual massive quark corrections to the relation between the MS and pole masses.

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

Cited by 54 publications

References 43 publications

Matching relations for decoupling in the standard model at two loops and beyond

Matching relations for decoupling in the standard model at two loops and beyond

On the light massive flavor dependence of the top quark mass

Bottom and charm mass determinations from global fits to Q Q ¯ $$ Q\overline{Q} $$ bound states at N3LO

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