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A method for computing renormalization constants in the Rome Southampton scheme with volume sources and arbitrary momenta is described. This new method is found to enable controlled and precise continuum extrapolations and opens the way to…

High Energy Physics - Lattice · Physics 2011-03-23 Rudy Arthur , Peter A. Boyle

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

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

High Energy Physics - Lattice · Physics 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We perform the non-perturbative renormalization of matrix elements of the static-light axial current by a computation of its scale dependence in lattice QCD with two flavours of massless O(a) improved Wilson quarks. The regularization…

High Energy Physics - Lattice · Physics 2010-10-27 Michele Della Morte , Patrick Fritzsch , Jochen Heitger

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

High Energy Physics - Theory · Physics 2018-04-25 J. A. Gracey , R. M. Simms

A new renormalization scheme is defined for fermion bilinears in QCD at non vanishing quark masses. This new scheme, denoted RI/mSMOM, preserves the benefits of the nonexceptional momenta introduced in the RI/SMOM scheme, and allows a…

High Energy Physics - Lattice · Physics 2017-03-15 Peter Boyle , Luigi Del Debbio , Ava Khamseh

The perturbative and nonperturbative renormalisation of quark-antiquark operators in lattice QCD with two flavours of clover fermions is investigated within the research programme of the QCDSF collaboration. Operators with up to three…

High Energy Physics - Lattice · Physics 2011-01-27 M. Göckeler , R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

We present results of renormalization factors for bilinear operators obtained using the nonperturbative renormalization method (NPR) in the RI-SMOM schemes. The operators are constructed using HYP staggered quarks on the MILC asqtad lattice…

High Energy Physics - Lattice · Physics 2015-12-10 Jangho Kim , Weonjong Lee , Jeonghwan Pak , Sungwoo Park , SWME Collaboration

We formulate and numerically test the Schr\"odinger functional scheme for domain-wall QCD. We then apply it to a non-perturbative calculation of the renormalization factors for vector and axial-vector currents in quenched domain-wall QCD…

Some probability distributions have moments, and some do not. For example, the normal distribution has power moments of arbitrary order, but the Cauchy distribution does not have power moments. In this paper, by analogy with the…

Probability · Mathematics 2022-05-20 Ping Zhang , Wen-Du Li , Wu-Sheng Dai

We determine the mass dependent renormalization as well as improvement coefficients for the heavy-light vector and axial-vector currents consisting of the relativistic heavy and the domain-wall light quarks through the standard matching…

High Energy Physics - Lattice · Physics 2009-11-10 Norikazu Yamada , Sinya Aoki , Yoshinobu Kuramashi

By considering the local vector current between nucleon states and imposing charge conservation, we determine its renormalisation constant and quark mass improvement coefficient for Symanzik $O(a)$ improved Wilson fermions. The computation…

High Energy Physics - Lattice · Physics 2008-11-26 T. Bakeyev , M. Gockeler , R. Horsley , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stuben

Perturbative and non-perturbative results are presented on the renormalization constants of the quark field and the vector, axial-vector, pseudoscalar, scalar and tensor currents. The perturbative computation, carried out at one-loop level…

High Energy Physics - Lattice · Physics 2013-05-30 C. Alexandrou , M. Constantinou , T. Korzec , H. Panagopoulos , F. Stylianou

We consider two-flavor QCD in the lattice regularization with improved Wilson fermions. In this formulation chiral symmetry is explicitly broken at order a and hence the isovector axial currents require improvement as well as a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Roland Hoffmann

We non-perturbatively calculate the renormalization factor of the static axial vector current in O(a) improved quenched lattice QCD. Its scale dependence is mapped out in the Schroedinger functional scheme by means of a recursive…

High Energy Physics - Lattice · Physics 2009-11-07 Jochen Heitger , Martin Kurth , Rainer Sommer

We present the results of a lattice study of the normalization constants and second moments of the light-cone distribution amplitudes of longitudinally and transversely polarized $\rho$ mesons. The calculation is performed using two flavors…

The CKM unitarity precision test of the Standard Model requires a systematic treatment of electromagnetic and strong corrections for semi-leptonic decays. Electromagnetic corrections require the renormalization of a semileptonic…

High Energy Physics - Phenomenology · Physics 2026-04-30 M. Gorbahn , S. Jäger , F. Moretti , E. van der Merwe

We calculate the one loop renormalisation parameters for the heavy-light axial-vector and vector currents using lattice perturbation theory. We use NonRelativistic QCD (NRQCD) heavy quarks and the Highly Improved Staggered Quark (HISQ)…

High Energy Physics - Lattice · Physics 2012-11-28 Christopher Monahan , Christine Davies , Ron Horgan , G. Peter Lepage , Heechang Na , Junko Shigemitsu

We present the first nonperturbatively-renormalized determination of the glue momentum fraction $\langle x \rangle_g$ in the nucleon, based on lattice-QCD simulations at physical pion mass using the cluster-decomposition error reduction…

High Energy Physics - Lattice · Physics 2018-10-17 Yi-Bo Yang , Ming Gong , Jian Liang , Huey-Wen Lin , Keh-Fei Liu , Dimitra Pefkou , Phiala Shanahan

We present an energy-conserving numerical scheme to solve the Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [Z. Cai, Y. Fan, and R. Li. CPAM, 2014]. The globally hyperbolic moment system is deduced for the…

Numerical Analysis · Mathematics 2023-01-25 Tianai Yin , Xinghui Zhong , Yanli Wang
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