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In the paper, we analyze the properties of Gross-Llewellyn Smith (GLS) sum rule by using the $\mathcal{O}(\alpha_s^4)$-order QCD corrections with the help of principle of maximum conformality (PMC). By using the PMC single-scale approach,…

High Energy Physics - Phenomenology · Physics 2021-06-23 Xu-Dong Huang , Xing-Gang Wu , Qing Yu , Xu-Chang Zheng , Jun Zeng

The zero-mass (ZM) parton formalism is widely used in high-energy physics because of its simplicity and historical importance, even while massive quarks (c,b,t) are playing an increasingly prominent role in particle phenomenology, including…

High Energy Physics - Phenomenology · Physics 2009-07-09 Pavel M. Nadolsky , Wu-Ki Tung

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

We consider a higher-derivative extension of QED modified by the addition of a gauge-invariant dimension-6 kinetic operator in the U(1) gauge sector. The Feynman diagrams at one-loop level are then computed. The modification in the spin-1…

High Energy Physics - Theory · Physics 2016-08-29 Rodrigo Turcati , Mário Júnior Neves

The mass of the bottom quark (both the pole mass $M_b$ and the $\MSb$ mass $m_b$) and the strong coupling constant $\alpha_s$ have been determined from QCD moment sum rules for the $\Upsilon$ system. In the pole-mass scheme large…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Jamin , A. Pich

We investigate possible renormalization effects on the low-energy mass spectrum of the minimal supersymmetric standard model (MSSM), using a calculable model of strongly coupled hidden sector. We model the hidden sector by N=2…

High Energy Physics - Phenomenology · Physics 2015-03-17 Masato Arai , Shinsuke Kawai , Nobuchika Okada

We present a sum-rule extraction of heavy-meson decay constants from the two-point correlator of heavy-light pseudoscalar currents. Our main concern is to control the uncertainties of the decay constants, induced by both input QCD…

High Energy Physics - Phenomenology · Physics 2011-06-15 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

A generalization of matrix product states (MPS) is introduced which is suitable for describing interacting quantum systems in two and three dimensions. These scale-renormalized matrix-product states (SR-MPS) are based on a course-graining…

Strongly Correlated Electrons · Physics 2010-10-13 Anders W. Sandvik

We suggest a non-minimal renormalization scheme based on dimensional regularization that naturally incorporates threshold effects of heavy particles. By renormalizing couplings and masses to subtract all poles in $d \geq 4$, the resulting…

High Energy Physics - Theory · Physics 2026-04-28 Yannick Kluth

We compute the low energy threshold corrections to neutrino masses and mixing in the Standard Model (SM) and its minimal supersymmetric version, using the effective theory technique. We demonstrate that they stabilize the renormalization…

High Energy Physics - Phenomenology · Physics 2011-09-13 P. H. Chankowski , P. Wasowicz

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 determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce Garden , Jochen Heitger , Rainer Sommer , Hartmut Wittig

The relation between the pole quark mass and the $\overline{MS}$-renormalized mass is governed by an infrared renormalon singularity, which leads to an ambiguity of order $\Lambda_{QCD}$ in the definition of the pole mass. We use the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Beneke

We propose a renormalon-inspired resummation of QCD perturbation theory based on approximating the renormalization scheme (RS) invariant effective charge beta-function coefficients by the portion containing the highest power of…

High Energy Physics - Phenomenology · Physics 2009-10-28 C. J. Maxwell , D. G. Tonge

The quadratically divergent scalar mass is subtractively renormalized unlike other divergences which are multiplicatively renormalized. We re-examine some technical aspects of the subtractive renormalization, in particular, the mass…

High Energy Physics - Theory · Physics 2011-05-25 Kazuo Fujikawa

A model independent parametrization of an extension of the Standard Model including vector-like quarks, new heavy gauge bosons and an extra scalar, is introduced. Theoretical constraints on the model couplings and hypothetical particle…

High Energy Physics - Phenomenology · Physics 2025-09-09 Chahra Rekaik , Mohamed Sadek Zidi

A self-consistent version of the left-right (LR) symmetric model is used to examine tree- as well as one-loop level radiative corrections to the muon decay. It is shown that constraints on the heavy sector of the model parameters are…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Czakon , J. Gluza , J. Hejczyk

It is conventional to choose a typical momentum transfer of the process as the renormalization scale and take an arbitrary range to estimate the uncertainty in the QCD prediction. However, predictions using this procedure depend on the…

High Energy Physics - Phenomenology · Physics 2012-07-24 Stanley J. Brodsky , Xing-Gang Wu

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

The pseudoscalar sum rules of the heavy-light quark systems are used for extracting simultaneously the c,b quark masses and the decay constants f_D_(s),f_B_(s) of the D_(s),B_(s) mesons. To order alpha_s^2, one obtains the running quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stephan Narison