Kinetic Heavy Quark Mass to Three Loops

Fael, Matteo; Schönwald, Kay; Steinhauser, Matthias

doi:10.1103/physrevlett.125.052003

Cited by 43 publications

(57 citation statements)

References 54 publications

(58 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The purpose of this note is to study the implications of the recent O(α 3 s ) calculations by Fael, Schönwald and Steinhauser [1][2][3] on the determination of the Cabibbo-Kobayashi-Maskawa matrix element |V cb | from inclusive semileptonic B decays, see Refs. [4,5] for the most recent results.…”

Section: Introductionmentioning

confidence: 99%

“…The other relevant three-loop calculation in our analysis is that of Refs. [2,3], which concerns the relation between the pole (or MS) and the kinetic masses of a heavy quark. This calculation allows us to convert recent high-precision determinations of the b quark MS mass [15,16] into the kinetic scheme [17] with an uncertainty of about 15 MeV, or 50% less than the previous two-loop conversion [18,19].…”

Section: Introductionmentioning

confidence: 99%

“…Acknowledgements We are grateful to Matteo Fael for useful communications concerning the results of Refs. [1][2][3]. This work is supported by the Italian Ministry of Research (MIUR) under grant PRIN 20172LNEEZ.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Three loop calculations and inclusive $V_{cb}$

Bordone,

Capdevila,

Gambino

2021

Preprint

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three loop calculations and inclusive $V_{cb}$

Bordone,

Capdevila,

Gambino

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…[22,25,27,28,89]). These massive effects were exactly calculated in [2,98] (see also the recent work [99]). However, in this paper we do not study the extra theoretical uncertainties related to the incorporation in analysis of the effects of massive lighter quarks.…”

Section: Discussionmentioning

confidence: 77%

Multiloop contributions to the on-shell-$$ \overline{{\mathrm{MS}}}$$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration

Kataev

Molokoedov

2020

Eur. Phys. J. C

View full text Add to dashboard Cite

The asymptotic structure of the QCD perturbative relation between the on-shell and $$\overline{{\mathrm{MS}}}$$ MS ¯ heavy quark masses is studied. We estimate the five and six-loop contributions to this relation by three different techniques. First, the effective charges motivated approach in two variants is used. Second, the results following from the large-$$\beta _0$$ β 0 approximation are analyzed. Finally, the consequences of applying the asymptotic renormalon-based formula are investigated. We show that all approaches lead to corrections which are qualitatively consistent in order of magnitude. Their sign-alternating character in powers of the number of massless quarks is demonstrated. We emphasize that there is no contradiction in the behavior of the fine structure of the renormalon-based estimates with other approaches if one use the detailed information about the normalization factor included in the renormalon asymptotic formula. The obtained five- and six-loop estimates indicate that in the case of the b-quark the asymptotic character of the studied relation manifests itself above the fourth order of PT, whereas for the t-quark it starts to reveal itself after the seventh order. This allows to conclude that like the running masses, the pole masses of the b and especially t-quark in principle may be used in the phenomenologically-oriented studies.

show abstract

“…The two-loop computation [64] has been known for some time, but the three-loop result has been obtained only recently [65,66]. Different from the other three "n-loop" refers to the value of the n-loop contribution to the mass.…”

Section: Kinetic Massmentioning

confidence: 99%

Pole mass renormalon and its ramifications

Beneke

2021

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

I review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $$\overline{\mathrm{MS}}$$ MS ¯ mass of a heavy quark, with applications to the top, bottom and charm quark. That the pole quark mass definition must be abandoned in precision computations is a well-known consequence of the rapidly diverging series. The definitions and physics motivations of several leading renormalon-free, short-distance mass definitions suitable for processes involving nearly on-shell heavy quarks are discussed.

show abstract

Kinetic Heavy Quark Mass to Three Loops

Cited by 43 publications

References 54 publications

Three loop calculations and inclusive $V_{cb}$

Three loop calculations and inclusive $V_{cb}$

Multiloop contributions to the on-shell-$$ \overline{{\mathrm{MS}}}$$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration

Pole mass renormalon and its ramifications

Contact Info

Product

Resources

About