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We present results for the renormalization constants of bilinear quark operators obtained by using the tree-level Symanzik improved gauge action and the Nf=2 twisted mass fermion action at maximal twist, which guarantees automatic…

In this paper the three-loop polarization functions \Pi(q^2) are calculated for the cases of an external vector, axial-vector, scalar or pseudo-scalar current. Results are presented for the imaginary part which directly leads to the cross…

High Energy Physics - Phenomenology · Physics 2010-04-06 K. G. Chetyrkin , J. H. Kühn , M. Steinhauser

Effects of heavy sea quarks on the low energy physics are described by an effective theory where the expansion parameter is the inverse quark mass, 1/$M$. At leading order in 1/$M$ (and neglecting light quark masses) the dependence of any…

Heavy-quark effects on the equation of state for cold and dense quark matter are obtained from perturbative QCD, yielding observables parametrized only by the renormalization scale. In particular, we investigate the thermodynamics of charm…

High Energy Physics - Phenomenology · Physics 2022-02-16 José C. Jiménez , Eduardo S. Fraga

We study on the lattice the correlator of heavy-quark currents in the vicinity of vanishing momentum. The renormalized charmed quark mass, the renormalized strong coupling constant and gluon condensate can be defined in terms of the…

High Energy Physics - Lattice · Physics 2009-10-28 A. Bochkarev , Ph. de Forcrand

We consider properties of the structure functions of inclusive heavy meson decays $B\to X_c$ and treat the $c$ quark mass as a free parameter. We show that in two extreme cases of heavy and light $c$ quark the structure functions of…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. G. Grozin , G. P. Korchemsky

This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main point of interest are results for the regularization defined by Iwasaki gauge action and n_f=4 Wilson fermions. Our…

High Energy Physics - Lattice · Physics 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

We compute non-perturbatively the renormalization constant of the flavour-singlet local vector current $Z_V$ in lattice QCD with 3 massless flavours. Gluons are discretized by the Wilson plaquette action while quarks by the O($a$)-improved…

High Energy Physics - Lattice · Physics 2022-11-23 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe , Federico Rapuano

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary timelike momentum. The correctness of the…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Lian-You Shan , Ying-Hui Cao

Heavy quark decays into energetic, collinear quarks and gluons are discussed within an effective theory that accomplishes the factorization of soft and hard strong interaction effects. We derive the relevant effective Lagrangian, and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Thorsten Feldmann

Discretization artifacts proportional to the quark mass can limit the precision of strong-coupling determinations in lattice QCD, especially in the presence of heavy quarks. In this work, we perform a lattice perturbative analysis of such…

High Energy Physics - Lattice · Physics 2026-03-03 Marios Costa , Demetrianos Gavriel , Haralambos Panagopoulos , Gregoris Spanoudes

We consider the renormalisation of lattice QCD operators with one and two covariant derivatives related to the first and second moments of generalised parton distributions and meson distribution amplitudes. Employing the clover fermion…

High Energy Physics - Lattice · Physics 2010-10-28 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

The Fermilab Lattice and MILC collaborations have shown in one-loop lattice QCD perturbation theory that the renormalization constants of vector and axial-vector mixed clover-asqtad currents are closely related to the product of those for…

High Energy Physics - Lattice · Physics 2014-10-31 Bipasha Chakraborty , Christine Davies , Gordon Donald , Rachel Dowdall , Jonna Koponen , G. Peter Lepage

Renormalization factors for $\Delta S =1$ four-quark operators in the effective weak Hamiltonian are perturbatively evaluated in domain-wall QCD. The one-loop corrections of $\Delta S=1$ four-quark operators consist of two types of…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Yoshinobu Kuramashi

Several Wilson loops on several lattice sizes are computed in Perturbation Theory via a stochastic method. Applications include: Renormalons, the Mass Term in Heavy Quark Effective Theory and (possibly) the beta-function.

High Energy Physics - Lattice · Physics 2015-06-25 G. Burgio , F. Di Renzo , L. Scorzato , M. Pepe

One-loop corrections to the $Z^{\prime}$ decay width are derived and analyzed in the framework of the general form of the 3-3-1 models. We identify two important sources of corrections: oblique corrections asociated to the $Z^{\prime}$…

High Energy Physics - Phenomenology · Physics 2009-11-05 R. Martinez , F. Ochoa

We calculate the non-forward quark matrix elements of operators with two covariant derivatives needed for the renormalisation of the second moment of generalised parton distributions in one-loop lattice perturbation theory using Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Göckeler , R. Horsley , H. Perlt , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller

Recent results from studies using half the perturbative mass of heavy quark-antiquark n=1, ${}^3S_1$ quarkonium as a new heavy quark mass definition for problems where the characteristic scale is smaller than or of the same order as the…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. H. Hoang

The electromagnetic form factors of vector mesons are calculated in an explicitly Poincar\'e covariant formulation, based on the Dyson--Schwinger equations of QCD, that respects electromagnetic current conservation, and unambiguously…

Nuclear Theory · Physics 2008-11-26 M. S. Bhagwat , P. Maris

The one-loop QCD effective charge $\alpha_s^{eff}$ for quark-quark scattering is derived by diagrammatic resummation of the one-loop amplitude using an arbitary covariant gauge. Except for the particular choice of gauge parameter $\xi =…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. H. Field