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We reconsider the construction of the vector and axial-vector currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. We discuss in detail the finite renormalization of…

High Energy Physics - Lattice · Physics 2014-11-18 Sinya Aoki , Oliver Bar , Stephen R. Sharpe

We present a study of the finite-volume two-pion matrix elements and correlation functions of the I=0 scalar operator, in full and partially quenched QCD, at one-loop order in chiral perturbation theory. In partially quenched QCD, when the…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

We perform a calculation of the isospin and hypercharge vector current propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) to two loops in chiral perturbation theory. The analysis is carried out with straightforward…

High Energy Physics - Phenomenology · Physics 2009-10-28 Eugene Golowich , Joachim Kambor

Using the approach based on conformal symmetry we calculate the two-loop coefficient function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the coefficient function in…

High Energy Physics - Phenomenology · Physics 2021-08-03 V. M. Braun , A. N. Manashov , S. Moch , J. Schoenleber

We compute vacuum expectation values of products of fermion bilinears for two-dimensional Quantum Chromodynamics at finite flavored fermion densities. We introduce the chemical potential as an external charge distribution within the…

High Energy Physics - Theory · Physics 2009-10-30 Hugo R. Christiansen , Fidel A. Schaposnik

We consider chiral perturbation theory in a finite volume and in a mixed regime of quark masses. We take N_l light quarks near the chiral limit, in the so-called epsilon-regime, while the remaining N_h quarks are heavier and in the standard…

High Energy Physics - Lattice · Physics 2009-11-18 F. Bernardoni , P. H. Damgaard , H. Fukaya , P. Hernández

The chiral extrapolation of the nucleon mass, M_n, is investigated using data coming from 2-flavour partially-quenched lattice simulations. A large sample of lattice results from the CP-PACS Collaboration is analysed using the leading…

High Energy Physics - Lattice · Physics 2014-11-18 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We present results of calculations of the hadronic vacuum polarisation contribution to the muon anomalous magnetic moment. Specifically, we focus on controlling the infrared regime of the vacuum polarisation function. Our results are…

High Energy Physics - Lattice · Physics 2018-04-18 M. Della Morte , A. Francis , A. Gérardin , V. Gülpers , G. Herdoiza , G. von Hippel , H. Horch , B. Jäger , H. B. Meyer , A. Nyffeler , H. Wittig

We present a calculation of the leading two-loop corrections to the axial-vector coupling constant $g_A$ in two covariant versions of two-flavor baryon chiral perturbation theory. Taking the low-energy constants from a combined analysis of…

High Energy Physics - Phenomenology · Physics 2025-06-23 Véronique Bernard , Jambul Gegelia , Shayan Ghosh , Ulf-G. Meißner

We study the chiral dynamics of vector mesons in two-flavor QCD in vacuum by utilizing a functional renormalization group approach. This allows us to capture the dynamical transition from the quark-gluon phase at high energies to the…

High Energy Physics - Phenomenology · Physics 2015-11-04 Fabian Rennecke

We calculate the vector meson masses in $N_{\rm f} = 2+1$ Wilson chiral perturbation theory at next-to-leading order. Generalizing the framework of heavy vector meson chiral perturbation theory, the quark mass and the lattice cutoff…

High Energy Physics - Lattice · Physics 2009-11-11 S. Aoki , O. Baer , S. Takeda

In this paper we calculate the full one-loop finite volume corrections to the quantities $< x >_{u\pm d}$ within the framework of two-flavor baryon chiral perturbation theory and show estimates of these effects for the leading one-loop…

High Energy Physics - Lattice · Physics 2015-06-22 Ludwig Greil , Philipp Wein , Peter C. Bruns , Andreas Schäfer

Hadronic vacuum polarization is a key observable in low-energy QCD, and is famously the greatest contributor to the theoretical uncertainty in the muon magnetic moment. Its long-distance part in particular is a weak point of the current…

High Energy Physics - Lattice · Physics 2026-03-02 Mattias Sjö , Laurent Lellouch , Alessandro Lupo , Kálmán Szabo , Pierre Vanhove

We present a calculation of the vector-isovector timelike form-factors of the pion and the kaon using lattice quantum chromodynamics. We calculate two-point correlation functions with $m_\pi \sim 280$ MeV, extracting both the finite-volume…

High Energy Physics - Lattice · Physics 2024-07-31 Felipe Ortega-Gama , Jozef Dudek , Robert Edwards

We reconsider the construction and matching of the vector and axial currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. In particular, we discuss in detail the impact…

High Energy Physics - Lattice · Physics 2010-11-05 Sinya Aoki , Oliver Bar , Stephen R. Sharpe

The behavior of nonperturbative parts of the isovector-vector and isovector and isosinglet axial-vector correlators at Euclidean momenta is studied in the framework of a covariant chiral quark model with nonlocal quark-quark interactions.…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , W. Broniowski

The chiral phase transition in QCD at finite chemical potential and temperature can be characterized for small chemical potential by its curvature and the transition temperature. The curvature is accessible to QCD lattice simulations, which…

High Energy Physics - Phenomenology · Physics 2012-07-03 Jens Braun , Bertram Klein , Bernd-Jochen Schaefer

Chiral perturbation theory in the two-flavour sector allows one to analyse Green functions in QCD in a limit where the strange quark mass is considered to be large in comparison to the external momenta and to the light quark masses. In this…

High Energy Physics - Phenomenology · Physics 2009-07-28 Juerg Gasser , Christoph Haefeli , Mikhail A. Ivanov , Martin Schmid

We consider photonic vortical effect, i.e. the difference of the flows of left- and right-handed photons along the vector of angular velocity in rotating photonic medium. Two alternative frameworks to evaluate the effect are considered,…

High Energy Physics - Theory · Physics 2021-04-21 G. Yu. Prokhorov , O. V. Teryaev , V. I. Zakharov

We employ a chiral Lagrangian framework with three dynamical flavors to calculate the masses of the lowest-lying vector mesons to one loop accuracy, and use the resulting formulae to extrapolate recent QCDSF lattice data on vector meson…

High Energy Physics - Phenomenology · Physics 2013-12-16 Peter C. Bruns , Ludwig Greil , Andreas Schäfer
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