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Related papers: Vector and Axial Currents in Wilson Chiral Perturb…

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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 report on a non-perturbative computation of the renormalization factor Z_A of the axial vector current in three-flavour O(a) improved lattice QCD with Wilson quarks and tree-level Symanzik improved gauge action and also recall our recent…

High Energy Physics - Lattice · Physics 2015-03-02 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a^2), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order…

High Energy Physics - Lattice · Physics 2010-02-17 Hovhannes R. Grigoryan , Anthony W. Thomas

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

The baryon axial vector current is computed at one-loop order in heavy baryon chiral perturbation theory in the large-N_c limit, where N_c is the number of colors. Loop graphs with octet and decuplet intermediate states cancel to various…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ruben Flores-Mendieta , Christoph P. Hofmann

Using quenched and unquenched chiral perturbation theory we compute vector and axial current two-point functions at finite volume and fixed gauge field topology, in the so-called \epsilon-regime of QCD. A comparison of these results with…

High Energy Physics - Lattice · Physics 2009-11-10 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite…

High Energy Physics - Lattice · Physics 2013-05-30 P. H. Damgaard , U. M. Heller , K. Splittorff

The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by…

High Energy Physics - Phenomenology · Physics 2024-06-04 Prabal Adhikari , Brian C. Tiburzi

We determine the non-perturbatively renormalized axial current for O($a$) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schr\"odinger functional and can be generalized to other finite (ratios of)…

High Energy Physics - Lattice · Physics 2019-01-16 Mattia Dalla Brida , Tomasz Korzec , Stefan Sint , Pol Vilaseca

A general expression of the axial-vector current is presented, in which both the effects of the chiral symmetry breaking and the spontaneous chiral symmetry breaking are included. A new resonance formula of the axial-vector meson is derived…

High Energy Physics - Phenomenology · Physics 2015-06-25 Bing An Li

We compute both sides of the Witten-Veneziano formula using lattice techniques. For the one side we perform dedicated quenched simulations and use the spectral projector method to determine the topological susceptibility in the pure…

High Energy Physics - Lattice · Physics 2015-10-20 Krzysztof Cichy , Elena Garcia-Ramos , Karl Jansen , Konstantin Ottnad , Carsten Urbach

By matching Wilson twisted mass lattice QCD determinations of pseudoscalar meson masses to Wilson Chiral Perturbation Theory we determine the low-energy constants $W'_6$, $W'_8$ and their linear combination $c_2$. We explore the dependence…

High Energy Physics - Lattice · Physics 2015-06-15 Gregorio Herdoiza , Karl Jansen , Chris Michael , Konstantin Ottnad , Carsten Urbach

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

High Energy Physics - Lattice · Physics 2018-01-17 Johan Bijnens , Johan Relefors

The baryon vector current is computed at one-loop order in large-Nc baryon chiral perturbation theory, where Nc is the number of colors. Loop graphs with octet and decuplet intermediate states are systematically incorporated into the…

High Energy Physics - Phenomenology · Physics 2015-06-22 Ruben Flores-Mendieta , Jose L. Goity

We find that, in the local V-A theory, the radiative corrections to pion beta-decay involving the weak vector current, when evaluated in the current algebra (CA) formulation in which quarks are the fundamental underlying fields, show a…

High Energy Physics - Phenomenology · Physics 2013-05-29 M. Passera , K. Philippides , A. Sirlin

Hyperon non-leptonic weak decay amplitudes are studied in the chiral perturbation theory. The weak interaction vertices caused by the four quark operators are substituted by the products of the hadronic currents and by the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Takayama , M. Oka

We study the quenched lattice QCD using domain-wall fermions at $\beta=6.0$. Behaviors of both pion mass and the explicit breaking term in the axial Ward-Takahashi identity support the existence of the chiral zero modes. We observe a good…

High Energy Physics - Lattice · Physics 2015-06-25 S. Aoki , T. Izubuchi , Y. Kuramashi , Y. Taniguchi

Baryon Chiral Perturbation Theory (BChPT) combined with the 1/Nc expansion is applied to the SU(3) vector currents. In terms of the xi power counting linking the low energy and 1/Nc expansions according to O(xi) = O(p) = O(1/Nc), the study…

High Energy Physics - Phenomenology · Physics 2020-03-25 Ishara P. Fernando , Jose L. Goity

We perform a Wilson Chiral Perturbation Theory (WChPT) analysis of quenched twisted mass lattice data. The data were generated by two independent groups with three different choices for the critical mass. For one choice, the so-called pion…

High Energy Physics - Lattice · Physics 2008-11-26 Sinya Aoki , Oliver Bar

We calculate the correlator between two external vector-currents having the quantum-numbers of a charged kaon. We give the renormalized expression to two loops in standard chiral perturbation theory in the isospin limit, which, as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephan Dürr , Joachim Kambor