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High-precision predictions in BSM models require calculations at the loop-level and thus a renormalization of (some of) the BSM parameter. Here many choices for the renormalization scheme (RS) are possible. A given RS can be well suited to…

高能物理 - 唯象学 · 物理学 2023-04-26 S. Heinemeyer , F. von der Pahlen

We introduce a new massive renormalization scheme, denoted mSMOM, as a modification of the existing RI/SMOM scheme. We use SMOM for defining renormalized fermion bilinears in QCD at non-vanishing fermion mass. This scheme has properties…

高能物理 - 格点 · 物理学 2016-08-30 Peter Boyle , Luigi Del Debbio , Ava Khamseh

Non-minimal renormalisation schemes such as the momentum subtraction scheme (MOM) have frequently been used for physical computations. The consistency of such a scheme relies on the existence of a coupling redefinition linking it to MSbar.…

高能物理 - 理论 · 物理学 2016-03-24 I. Jack , C. Poole

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 $\overline{\mathrm{MS}}$-pole mass relation up to…

高能物理 - 唯象学 · 物理学 2018-01-29 Vicent Mateu , Pablo G. Ortega

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 $\overline{\mathrm{MS}}$ mass of a heavy quark $Q$, coming from virtual loop insertions…

高能物理 - 唯象学 · 物理学 2020-07-03 André H. Hoang , Christopher Lepenik , Moritz Preisser

Using recent values of the QCD (non-) perturbative parameters given in Table 1 and an estimate of the N3LO QCD perturbative contributions based on the geometric growth of the PT series, we re-use QCD spectral sum rules (QSSR) known to N2LO…

高能物理 - 唯象学 · 物理学 2015-06-11 Stephan Narison

We compute the conversion factors needed to obtain the MS-bar and RGI up, down, and strange-quark masses at next-to-next-to-leading order from the corresponding parameters renormalized in the recently proposed RI/SMOM and RI/SMOM_gamma_mu…

高能物理 - 唯象学 · 物理学 2010-12-23 Martin Gorbahn , Sebastian Jager

We introduce an on shell renormalization scheme in which the mass parameter of minimal MS scheme is replaced with the pole mass obtained from the loop order expansion of the pole mass in the MS scheme. As a consequence, the quartic coupling…

高能物理 - 唯象学 · 物理学 2019-03-19 Chungku Kim

We present the deterimination of the bottom quark mass using non-relativistic $\Upsilon$ Sum Rules at $\text{N}^3\text{LO}^*$[1]. The explicit dependence of $\overline{m}_b(\overline{m}_b)$ on the input value $\alpha_s(M_Z)$ is given for…

高能物理 - 唯象学 · 物理学 2014-07-02 Nikolai Zerf

I review the structure of the leading infrared renormalon divergence of the relation between the pole mass and the $\overline{\rm MS}$ mass of a heavy quark, with applications to the top, bottom and charm quark. That the pole quark mass…

高能物理 - 唯象学 · 物理学 2022-10-18 Martin Beneke

The value of the bottom quark mass at M_Z in the DR-bar scheme is an important input for the analysis of supersymmetric models with a large value of tan(beta). Conventionally, however, the running bottom quark mass extracted from…

高能物理 - 唯象学 · 物理学 2011-01-27 H. Baer , J. Ferrandis , K. Melnikov , X. Tata

The heavy quark pole mass in perturbation theory suffers from a renormalon caused, inherent uncertainty of $O(\Lambda_{\rm QCD})$. This fundamental difficulty of determining the pole mass to an accuracy better than the inherent uncertainty…

高能物理 - 唯象学 · 物理学 2009-11-10 Taekoon Lee

We demonstrate that in the mass independent renormalization scheme. the renormalization group equations associated with the unphysical parameters that characterize the renormalization scheme and the mass scale leads to summation that…

高能物理 - 唯象学 · 物理学 2020-09-28 F. A. Chishtie , D. G. C. McKeon

A new renormalization scheme is defined for fermion bilinears in QCD at non vanishing quark masses. This new scheme, denoted RI/mSMOM, preserves the benefits of the nonexceptional momenta introduced in the RI/SMOM scheme, and allows a…

高能物理 - 格点 · 物理学 2017-03-15 Peter Boyle , Luigi Del Debbio , Ava Khamseh

It has been shown that the principle of maximum conformality (PMC) provides a systematic way to solve conventional renormalization scheme and scale ambiguities. The scale-fixed predictions for physical observables using the PMC are…

高能物理 - 唯象学 · 物理学 2024-04-11 Xu-Dong Huang , Xing-Gang Wu , Xu-Chang Zheng , Jiang Yan , Zhi-Fei Wu , Hong-Hao Ma

The Standard Model can be defined quantitatively by running parameters in a mass-independent renormalization scheme at a fixed reference scale. We provide a set of simple interpolation formulas that give the fundamental Lagrangian…

高能物理 - 唯象学 · 物理学 2023-02-08 Zamiul Alam , Stephen P. Martin

The b quark low-scale running mass m_kin is determined from an analysis of the Upsilon sum rules in the next-to-next-to-leading order (NNLO). It is demonstrated that using this mass one can significantly improve the convergence of the…

高能物理 - 唯象学 · 物理学 2008-11-26 Kirill Melnikov , Alexander Yelkhovsky

We obtain an improved determination of the normalization constant of the first infrared renormalon of the pole mass (and the singlet static potential). For $N_f=3$ it reads $N_m=0.563(26)$. Charm quark effects in the bottom quark mass…

高能物理 - 唯象学 · 物理学 2014-09-25 Cesar Ayala , Gorazd Cvetic , Antonio Pineda

Commensurate scale relations relate observables to observables and thus are independent of theoretical conventions, such as the choice of intermediate renormalization scheme. The physical quantities are related at commensurate scales which…

高能物理 - 唯象学 · 物理学 2007-05-23 Stanley J. Brodsky , Hung Jung Lu

We include the new, five-loop, O(alpha_s^4) correction into the QCD sum rule used for the s-quark mass determination. The pseudoscalar Borel sum rule is taken as a study case. The OPE for the correlation function with N^4LO, O(alpha_s^4)…

高能物理 - 唯象学 · 物理学 2008-11-26 K. G. Chetyrkin , A. Khodjamirian