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Two-loop corrections for the <VVA> correlator of the singlet axial and vector currents in QCD are calculated in the chiral limit for arbitrary momenta. Explicit calculations confirm the non-renormalization theorems derived recently by…

High Energy Physics - Phenomenology · Physics 2009-11-11 F. Jegerlehner , O. V. Tarasov

It is known that the correlator of one axial and two vector currents, that receives leading contributions through one-loop fermion triangle diagrams, is not modified by QCD radiative corrections at two loops. It was suggested that this…

High Energy Physics - Phenomenology · Physics 2015-06-11 Jorge Mondejar , Kirill Melnikov

By explicit calculation of the two-loop QCD corrections we show that for singlet axial and vector currents the full off-shell <VVA> correlation function in the limit of massless fermions is proportional to the one-loop result, when…

High Energy Physics - Theory · Physics 2009-11-11 F. Jegerlehner , O. V. Tarasov

Hadronic electroweak corrections to the muon anomalous magnetic moment (g-2) are reviewed. Emphasis is on clarification of discrepancies among various published studies. A theorem on non-renormalization of the transversal part of a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki , William J. Marciano , Arkady Vainshtein

Anomalous quark triangles with one axial and two vector currents are studied in special kinematics when one of the vector currents carries a soft momentum. According to the Adler-Bardeen theorem the anomalous longitudinal part of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Arkady Vainshtein

Chiral Magnetic Effect(CME) is usually believed not receiving higher order corrections due to the non-renormalization of AVV triangle diagram in the framework of quantum field theory. However, the CME-relevant triangle, which is obtained by…

High Energy Physics - Phenomenology · Physics 2018-05-30 Kit-fai Chu , Peng-hui Huang , Hui Liu

Quark-meson duality for two-point functions of vector and axial-vector QCD currents is investigated in the large-Nc approximation. We find that the joint constraints of duality and chiral symmetry imply degeneracy of excited vector and…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. R. Beane

The correlator of vector and nonsinglet axial-vector currents in the external electromagnetic field is calculated within the instanton liquid model of QCD vacuum. In general the correlator has two Lorentz structures: longitudinal w_L and…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. E. Dorokhov

The nucleon axial charge is a central ingredient in nuclear and particle physics, and a key observable in precision tests of the electroweak Standard Model sector and beyond. We report on the first complete calculation of its electroweak…

High Energy Physics - Phenomenology · Physics 2021-02-09 Leendert Hayen

Nonrenormalization theorems involving the transverse, i.e. non anomalous, part of the <VVA> correlator in perturbative QCD are proven. Some of their consequences and questions they raise are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-10 Marc Knecht , Santiago Peris , Michel Perrottet , Eduardo de Rafael

We calculate, within massless QCD, a two-point correlator of nonlocal (composite) vector quark currents with arbitrary-length chains of the simplest fermion loops being inserted into gluon lines. Within the large $n_f$ (or large $\beta_0$)…

High Energy Physics - Phenomenology · Physics 2023-05-31 S. V. Mikhailov , N. Volchanskiy

The status of the Chiral Magnetic Effect (CME) response in full Quantum Chromodynamics (QCD) has been controversial so far, with previous lattice QCD studies indicating either its strong suppression or vanishing in thermal equilibrium…

High Energy Physics - Lattice · Physics 2024-11-14 P. V. Buividovich

We construct the vector and axial vector currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. Our construction is slightly different compared to ChPT in continuum QCD,…

High Energy Physics - Lattice · Physics 2009-04-14 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

Anomalous correlators of vector and axial currents which enter the Kubo formulae for the chiral magnetic and the chiral separation conductivities are explicitly calculated for free overlap fermions on the lattice. The results are confronted…

High Energy Physics - Lattice · Physics 2014-03-19 P. V. Buividovich

The correlator of singlet axial-vector and vector currents in the external electromagnetic field is studied within the instanton liquid model of QCD vacuum. In the chiral limit we calculate the longitudinal w_L^0 and transversal w_T^0 with…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. E. Dorokhov

A power expansion scheme is set up to determine the Wigner function that satisfies the quantum kinetic equation for spin-1/2 charged fermions in a background electromagnetic field. Vector and axial-vector current induced by magnetic field…

High Energy Physics - Phenomenology · Physics 2012-12-27 Jian-Hua Gao , Zuo-Tang Liang , Shi Pu , Qun Wang , Xin-Nian Wang

Quenched and partially quenched chiral perturbation theory for vector mesons is developed and is used to extract chiral loop correction to the $\rho$ meson mass. Connections to fully quenched and totally unquenched chiral perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-30 Chi-Keung Chow , Soo-Jong Rey

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We…

High Energy Physics - Lattice · Physics 2010-04-05 P. H. Damgaard , P. Hernandez , K. Jansen , M. Laine , L. Lellouch

We investigate two-loop quantum corrections to non-minimally coupled Maxwell-Chern-Simons theory. The non-minimal gauge interaction represents the magnetic moment interaction between the charged scalar and the electromagnetic field. We show…

High Energy Physics - Theory · Physics 2009-10-31 M. E. Carrington , W. F. Chen , G. Kunstatter , J. Mottershead
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