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.

doi:10.1140/epjp/i2016-16271-7

Cited by 38 publications

(47 citation statements)

References 48 publications

(149 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…[18] presented the first estimates of the unknown previously t M 41 and t M 40 -coefficients by means of the renormalon-inspired approach. Independently, the numerical values of these terms were determined in [19,20] with the help of mathematically self-consistent least squares (LS) method, which is well-defined procedure of solving the overdetermined system of linear equations with the fixation of theoretical inaccuracies of the central values of the obtained results. Recently the updated results of the numerical evaluation of t M 4 -terms were obtained by means of the Monte-Carlo methods in [21] not for three values of n l only but at extra 18 values as well, which corresponds to the additional points in the studied interval 0 ≤ n l ≤ 20.…”

Section: Introductionmentioning

confidence: 99%

On the relation between pole and running heavy quark masses beyond the four-loop approximation

Kataev

Molokoedov

2018

EPJ Web Conf.

Self Cite

View full text Add to dashboard Cite

The effective charges motivated method is applied to the relation between pole and MS-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running quark masses. The non-calculated five-and six-loop perturbative QCD coefficients are estimated. This approach predicts for these terms the sign-alternating expansion in powers of number of lighter flavors n l , while the analyzed recently infrared renormalon asymptotic expressions do not reproduce the same behavior. We emphasize that coefficients of the quark mass relation contain proportional to π 2 effects, which result from analytical continuation from the Euclidean region, where the scales of the running masses and QCD coupling constant are initially fixed, to the Minkowskian region, where the pole masses and the running QCD parameters are determined. For the t-quark the asymptotic nature of the non-resummed PT mass relation does not manifest itself at six-loops, while for the b-quark the minimal PT term appears at the probed by direct calculations four-loop level. The recent infrared renormalon based studies support these conclusions. *

show abstract

Section: Introductionmentioning

confidence: 99%

On the relation between pole and running heavy quark masses beyond the four-loop approximation

Kataev

Molokoedov

2018

EPJ Web Conf.

Self Cite

View full text Add to dashboard Cite

show abstract

“…where R and µ are scale parameters [252] and the corrections in δm t are known to four loops [253,254] in QCD. The associated uncertainty from converting between both definitions is therefore small but not at all negligible.…”

Section: On the Importance Of The Top Quark Mass Within The Standard mentioning

confidence: 99%

Electroweak precision tests of the Standard Model after the discovery of the Higgs boson

Erler

Schott

2019

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

The global fit of the Standard Model predictions to electroweak precision data, which has been routinely performed in the past decades by several groups, led to the prediction of the top quark and the Higgs boson masses before their respective discoveries. With the measurement of the Higgs boson mass at the Large Hadron Collider (LHC) in 2012 by the ATLAS and CMS collaborations, the last free parameter of the Standard Model of particle physics has been fixed, and the global electroweak fit can be used to test the full internal consistency of the electroweak sector of the Standard Model and constrain models beyond. In this article, we review the current state-of-the-art theoretical calculations, as well as the precision measurements performed at the LHC, and interpret them within the context of the global electroweak fit. Special focus is drawn in the impact of the Higgs boson mass on the fit.

show abstract

“…The interesting effects are observed when the physical number of heavy quarks flavors are considered [21] only, namely 3 ≤ n l ≤ 5. In this case the LSM system read The central values of Eqs.…”

Section: B the Case Of Two Unknownsmentioning

confidence: 99%

Least Squares Method: Application to Analysis of the Flavor Dependence of the QCD Relation Between Pole and Scheme Running Heavy Quark Masses

Kataev

Molokoedov

2019

Theor Math Phys

Self Cite

View full text Add to dashboard Cite

The features of the ordinary least squares method, which gives a possible way to a solution of the overdetermined systems of algebraic equations and allows to estimate the uncertainties of the obtained solutions, are considered. As the important physical example we define four-loop QCD coefficients in the dependence of the relation between pole and running heavy quarks masses on the number of light flavors, using the existing results of numerical supercomputer based calculations of the corresponding four-loop contributions at different fixed numbers of light flavors. Stability of the found solutions to the number of the considered equations and unknowns is demonstrated and supported by the Pearsons's χ-squared test.

show abstract

On the flavour dependence of the $O(\alpha_{s}^{4})$ correction to the relation between running and pole heavy quark masses

Cited by 38 publications

References 48 publications

On the relation between pole and running heavy quark masses beyond the four-loop approximation

On the relation between pole and running heavy quark masses beyond the four-loop approximation

Electroweak precision tests of the Standard Model after the discovery of the Higgs boson

Least Squares Method: Application to Analysis of the Flavor Dependence of the QCD Relation Between Pole and Scheme Running Heavy Quark Masses

Contact Info

Product

Resources

About