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We determine the strange quark mass ($m_s$) and quark mixing element $\vert V_{us}\vert $, and their joint determination from the Cabibbo suppressed hadronic $\tau$ decays in various perturbative schemes. Compared to the previous analysis…

High Energy Physics - Phenomenology · Physics 2023-09-19 B. Ananthanarayan , Diganta Das , M. S. A. Alam Khan

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(\alpha_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Kwiatkowski , Matthias Steinhauser

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kirill Melnikov , Alexander Yelkhovsky

We extend previous next-to-next-to leading order (NNLO) calculations of the QCD pressure at zero temperature and non-zero baryonic densities using the renormalization group optimized perturbation theory (RGOPT), which entails an all-order…

High Energy Physics - Phenomenology · Physics 2025-06-30 Loïc Fernandez , Jean-Loïc Kneur

We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses $\overline{m}_{q}(\overline{m}_{q})$ ($q=c,b$). At present, the pQCD corrections to the correlation functions of two…

High Energy Physics - Phenomenology · Physics 2026-05-11 Qing Yu , Hua Zhou , Xing-Gang Wu

We present the next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith (GLS) sum rule in deep inelastic lepton-nucleon scattering, taking into account dimension-two, twist-four power correction. We discuss in detail the…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Chyla , A. Kataev

We propose, for the computation of the Higgs mass spectrum and couplings, a renormalization-group improved leading-log approximation, where the renormalization scale is fixed to the top-quark pole mass. For the case $m_A\sim M_{\rm SUSY}$,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , J. R. Espinosa , M. Quiros , C. E. M. Wagner

We analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative…

High Energy Physics - Phenomenology · Physics 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu

Renormalisation Group Equation(RGE) for color and top couplings sector of MSSM has been solved. The mass of the top comes out to be 180.363$\pm$ 10.876 GeV and $\beta_{top}$=$\frac{\pi}{2}$. It is conjectured that the masses of the other 11…

High Energy Physics - Phenomenology · Physics 2011-07-19 B. B. Deo , L. Maharana , P. K. Mishra

We present the results of a computation of the sum of the strange and average up-down quark masses with overlap fermions in the quenched approximation. Since the overlap regularization preserves chiral symmetry at finite cutoff and volume,…

High Energy Physics - Lattice · Physics 2014-11-17 L. Giusti , C. Hoelbling , C. Rebbi

We examine the radiative corrections to the mass of the lightest Higgs boson in the minimal supersymmetric extension of the standard model. We use the renormalization-group improved effective potential which includes the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Jiro Kodaira , Yoshiaki Yasui , Ken Sasaki

We discuss the lower Higgs boson mass bounds which come from the absolute stability of the Standard Model (SM) vacuum and from the Higgs inflation, as well as the prediction of the Higgs boson mass coming from asymptotic safety of the SM.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Fedor Bezrukov , Mikhail Yu. Kalmykov , Bernd A. Kniehl , Mikhail Shaposhnikov

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative…

High Energy Physics - Phenomenology · Physics 2019-02-20 C. A. Dominguez , A. Mes , K. Schilcher

A one-loop renormalization group analysis of the order v^2 relativistic corrections to the static QCD potential is presented. The velocity renormalization group is used to simultaneously sum ln(m/mv) and ln(m/mv^2) terms. The results are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Aneesh V. Manohar , Iain W. Stewart

We perform a renormalisation group analysis of the next-to-minimal supersymmetric standard model (NMSSM) based on the following constraints: two-loop gauge coupling unification at a variable scale $M_X$, running the gauge couplings through…

High Energy Physics - Phenomenology · Physics 2009-10-28 T. Elliott , S. F. King , P. L. White

The top quark cross section close to threshold in $e^+e^-$ annihilation is computed including the summation of logarithms of the velocity at next-to-next-to-leading-logarithmic order in QCD. The remaining theoretical uncertainty in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. H. Hoang , A. V. Manohar , I. W. Stewart , T. Teubner

We study the 1-loop renormalization group equation running in the simplest singlet Majoron model constructed by us earlier to accommodate the dark radiation and dark matter content in the universe. A comprehensive numerical study was…

High Energy Physics - Phenomenology · Physics 2016-07-20 We-Fu Chang , John N. Ng

We present a new measurement of the bottom quark mass in the $\bar{MS}$ scheme at the renormalization scale of the Higgs boson mass from measurements of Higgs boson decay rates at the LHC: $m_b(m_H)= 2.60^{+0.36}_{-0.31}$ GeV. The…

We present the results of a lattice QCD calculation of the average up-down and strange quark masses and of the light meson pseudoscalar decay constants with Nf=2 dynamical fermions. The simulation is carried out at a single value of the…

In the absence of a tree-level scalar-field mass, renormalization-group methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series within the effective potential for $SU(2)\times U(1)$…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Elias , R. B. Mann , D. G. C. McKeon , T. G. Steele