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Quantum gravitational effects on the renormalization group equation are studied in the $(2+\epsilon)$-dimensional approach. Divergences in a matter one-loop effective action do not receive gravitational radiative corrections. The…

High Energy Physics - Theory · Physics 2009-10-22 Y. Tanii , S. Kojima , N. Sakai

For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $\overline{\text{MS}}$ scheme.…

High Energy Physics - Theory · Physics 2021-02-19 Tom Steudtner

For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all divergences are logarithmical. These expressions allow relating…

High Energy Physics - Theory · Physics 2025-12-17 Gleb Kovyrshin , Nikolai Meshcheriakov , Victoria Shatalova , Konstantin Stepanyantz

The charm-loop contribution to B -> Xs gamma is found to be numerically dominant and very stable under logarithmic QCD corrections. The strong enhancement of the branching ratio by QCD logarithms is mainly due to the b-quark mass evolution…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paolo Gambino , Mikolaj Misiak

Two different two-loop relations between the pole- and the MS-mass of the top quark have been derived in the literature which were based on different treatments of the tadpole diagrams. In addition, the limit M_W^2/m_t^2 \to 0 was employed…

High Energy Physics - Phenomenology · Physics 2009-03-16 M. Faisst , J. H. Kuhn , O. Veretin

A number of exact results for two-loop three-point diagrams with massless internal particles and arbitrary (off-shell) external momenta are presented. Divergent contributions are calculated in the framework of dimensional regularization.

High Energy Physics - Phenomenology · Physics 2009-10-28 N. I. Ussyukina , A. I. Davydychev

We compute the matching coefficient between the quantum chromodynamics (QCD) and the non-relativistic QCD ( NRQCD) for the flavor-changing scalar current involving the heavy charm and bottom quark, up to the three-loop order within the…

High Energy Physics - Phenomenology · Physics 2023-05-03 Wei Tao , Ruilin Zhu , Zhen-Jun Xiao

The results of a preliminary partially quenched (N_f=2) study of the light hadron spectrum, renormalization constants and light quark masses are presented. Numerical simulations are carried out with the LL-SSOR preconditioned Hybrid Monte…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , P. Boucaud , V. Gimenez , V. Lubicz , G. Martinelli , F. Mescia , S. Simula , C. Tarantino

A brief review of the problem of the determination of light-quark masses from QCD sum rules for the correlators of scalar and pseudoscalar currents is given. Special attention is paid to the description of the large-$N_f$ results, obtained…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

We present non-perturbative results for the constants needed for on-shell $O(a)$ improvement of bilinear operators composed of Wilson fermions. We work at $\beta=6.0$ and 6.2 in the quenched approximation. The calculation is done by…

High Energy Physics - Lattice · Physics 2007-05-23 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen Sharpe

The renormalization structure of two-dimensional quantum gravity is investigated, in a covariant gauge. One-loop divergences of the effective action are calculated. All the surface divergent terms are taken into account, thus completing…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. Naftulin , S. D. Odintsov

Values for the strange quark mass and average up/down mass have been obtained from quenched lattice QCD simulations using the domain wall fermion action. This discretization preserves the properties of flavor and chiral symmetry at nonzero…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate

We analyze the renormalization group equations for the Standard Model at the one and two loops levels. At one loop level we find an exact constant of evolution built from the product of the quark masses and the gauge couplings $g_{1}$ and $…

High Energy Physics - Phenomenology · Physics 2017-03-24 S. Rebeca Juárez W. , Piotr Kielanowski , Gerardo Mora , Arno Bohm

We propose to resum exactly any number of one-loop vacuum polarization insertions into the scale of the coupling of lowest order radiative corrections. This makes maximal use of the information contained in one-loop perturbative corrections…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Ball , M. Beneke , V. M Braun

We find the renormalisation coefficients of the quark field and the flavour non-singlet fermion bilinear operators for the domain wall fermion action, in the regularisation independent (RI) renormalisation scheme. Our results are from a…

High Energy Physics - Lattice · Physics 2009-11-07 T. Blum , N. Christ , C. Cristian , C. Dawson , G. Fleming , G. Liu , R. Mawhinney , A. Soni , P. Vranas , M. Wingate , L. Wu , Y. Zhestkov

The on-shell renormalization scheme for the electroweak theory is well studied in the standard model(SM), but a consistent on-shell renormalization scheme for the minimal supersymmetric standard model(MSSM) is still unknown. In MSSM, we…

High Energy Physics - Phenomenology · Physics 2013-06-07 Zhao Shu-Min , Feng Tai-Fu , Wang Fang , Gao Tie-Jun , Zhang Yin-Jie

We present a determination of the strange, charm and bottom quark masses as well as the strong coupling constant in 2+1 flavor lattice QCD simulations using highly improved staggered quark action. The ratios of the charm quark mass to the…

High Energy Physics - Lattice · Physics 2016-09-06 Y. Maezawa , P. Petreczky

Renormalization of composite three-quark operators in dimensional regularization is complicated by the mixing of physical and unphysical (evanescent) operators. This mixing must be taken into account in a consistent subtraction scheme. In…

High Energy Physics - Phenomenology · Physics 2011-09-16 S. Kraenkl , A. N. Manashov

The paper is devoted to the calculation of additional two-loop O(\alpha_s^2) MSSM corrections to the relation between the pole mass of the t-quark and its running mass in the DR scheme. The value of the second order contribution from large…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bednyakov , D. I. Kazakov , A. Sheplyakov

We calculate one-loop renormalization factors of bilinear operators made of physical quark fields for domain-wall QCD. We find that finite parts of such renormalization factors have reasonable values at 1-loop except an overlap factor…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi