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We carry out the non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory. At order 1/m of the expansion, the operator is responsible for the mass splitting between the pseudoscalar and vector B…

High Energy Physics - Lattice · Physics 2009-04-21 Damiano Guazzini , Harvey B. Meyer , Rainer Sommer

Renormalization factors relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. They have to be computed very precisely which requires a careful treatment of…

High Energy Physics - Lattice · Physics 2013-10-25 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We present a lattice QCD calculation of the up, down, strange and charm quark masses performed using the gauge configurations produced by the European Twisted Mass Collaboration with Nf = 2 + 1 + 1 dynamical quarks, which include in the…

In large-momentum effective theory (LaMET), calculating parton physics starts from calculating coordinate-space-$z$ correlation functions $\tilde h(z, a,P^z)$ in a hadron of momentum $P^z$ in lattice QCD. Such correlation functions involve…

High Energy Physics - Phenomenology · Physics 2021-01-20 Xiangdong Ji , Yizhuang Liu , Andreas Schäfer , Wei Wang , Yi-Bo Yang , Jian-Hui Zhang , Yong Zhao

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…

High Energy Physics - Lattice · Physics 2016-08-30 Peter Boyle , Luigi Del Debbio , Ava Khamseh

We investigate implications of the use of the point-split axial vector current derived from a Wilson like fermionic action. We compute the corresponding renormalization factor nonperturbatively for one beta value. The axial charge gA…

High Energy Physics - Lattice · Physics 2016-12-16 R. Horsley , S. Kazmin , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller , J. M. Zanotti

We analytically compute the three-loop corrections to the relation between the renormalized quark masses defined in the minimal-subtraction (${\rm \overline{MS}}$) and the regularization-invariant symmetric momentum-subtraction (${\rm…

High Energy Physics - Phenomenology · Physics 2020-05-08 Alexander Bednyakov , Andrey Pikelner

We study the behaviour of the vector and axial current renormalisation constants $Z_V$ and $Z_A$ as a function of the quark mass, $m_q$. We show that sizeable $O(am_q)$ and $O(g_0^2 a m_q)$ systematic effects are present in the Wilson and…

High Energy Physics - Lattice · Physics 2010-11-01 M. Crisafulli , V. Lubicz , G. Martinelli , A. Vladikas

We report results of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action, employing the Reguralization Independent scheme (RI) of Martinelli et al. to non-perturbatively evaluate the renormalization factor relating…

We show that the running of operators which mix under renormalization can be computed fully non-perturbatively as a product of continuum step scaling matrices. These step scaling matrices are obtained by taking the "ratio" of Z matrices…

High Energy Physics - Lattice · Physics 2012-01-25 R. Arthur , P. A. Boyle , N. Garron , C. Kelly , A. T. Lytle

We present a detailed Lattice QCD study of the unpolarized isovector quark Parton Distribution Function (PDF) using large-momentum effective theory framework. We choose a quasi-PDF defined by a spatial correlator which is free from mixing…

Irreversibility of RG flows in two dimensions is shown using conserved vector currents. Out of a conserved vector current, a quantity decreasing along the RG flow is built up such that it is stationary at fixed points where it coincides…

High Energy Physics - Theory · Physics 2009-10-28 Xavier Vilasis-Cardona

In the lattice formulation of the Heavy Quark Effective Theory, the value of the classical velocity v, as defined through the separation of the 4-momentum of a heavy quark into a part proportional to the heavy quark mass and a residual part…

High Energy Physics - Lattice · Physics 2009-10-30 Jeffrey E. Mandula , Michael C. Ogilvie

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…

We propose a novel stochastic optimization algorithm called STOchastic Recursive Momentum for Compositional (STORM-Compositional) optimization that minimizes the composition of expectations of two stochastic functions, the latter being an…

Optimization and Control · Mathematics 2020-06-09 Huizhuo Yuan , Wenqing Hu

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , C. Pittori , C. T. Sachrajda , M. Testa , A. Vladikas

We present results for the light quark masses obtained from a lattice QCD simulation with N_f=2 degenerate Wilson dynamical quark flavours. The sea quark masses of our lattice, of spacing a ~ 0.06 fm, are relatively heavy, i.e., they cover…

High Energy Physics - Lattice · Physics 2010-03-19 D. Becirevic , B. Blossier , Ph. Boucaud , V. Gimenez , V. Lubicz , F. Mescia , S. Simula , C. Tarantino

We show that using renormalization-group summation to generate the QCD radiative corrections to the $\pi-\gamma$ transition form factor, calculated with lightcone sum rules (LCSR), renders the strong coupling free of Landau singularities…

High Energy Physics - Phenomenology · Physics 2021-05-18 S. V. Mikhailov , A. V. Pimikov , N. G. Stefanis

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

By imposing axial and vector Ward identities for flavour-non-singlet currents, we estimate in the quenched approximation the non-perturbative values of combinations of improvement coefficients, which appear in the expansion around the…

High Energy Physics - Lattice · Physics 2009-10-30 G. M. de Divitiis , R. Petronzio