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A general class of inverse-moment sum rules was previously derived by the authors in a chiral perturbation theory (ChPT) study at two-loop order of the isospin and hypercharge vector-current propagators. Here, we address the evaluation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eugene Golowich , Joachim Kambor

We study the two-point functions from chiral kinetic theory which characterize the response to perturbative vector and axial gauge fields in magnetized chiral plasma. In the lowest Landau level approximation, the solution of chiral kinetic…

Nuclear Theory · Physics 2021-12-28 Lixin Yang

The three-flavor chiral expansion for octet baryons has well-known problems with convergence. We show that this three-flavor chiral expansion can be reorganized into a two-flavor expansion thereby eliminating large kaon and eta loop…

Nuclear Theory · Physics 2014-11-20 B. C. Tiburzi

We present two-loop results for the quark condensate in an external magnetic field within chiral perturbation theory using coordinate space techniques. At finite temperature, we explore the impact of the magnetic field on the pion-pion…

High Energy Physics - Phenomenology · Physics 2020-11-18 Christoph P. Hofmann

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 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

We use two-flavor heavy baryon chiral perturbation theory to investigate the isovector axial charges of the spin one-half hyperons. Expressions for these hyperon axial charges are derived at next-to-leading order in the chiral expansion. We…

Nuclear Theory · Physics 2009-11-05 Fu-Jiun Jiang , Brian C. Tiburzi

We use chiral perturbation theory to evaluate the scattering amplitude for the process Pi^+ K^- to Pi^+ K^- at leading and next-to-leading orders in the chiral counting and in the presence of isospin breaking effects. We also discuss the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Nehme

Two-loop contributions to the anomalous correlation function <J_mu(x)J_nu(y)J_rho(z)> of three chiral currents are calculated by a method based on the conformal properties of massless field theories. The method was previously applied to…

High Energy Physics - Theory · Physics 2009-10-08 Joshua Erlich , Daniel Z. Freedman

We discuss the calculation of the strange magnetic radius of the proton in chiral perturbation theory. In particular we investigate the low energy component of the loop integrals involving kaons. We separate the chiral calculation into a…

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Donoghue , Barry R. Holstein , Tobias Huber , Andreas Ross

We investigate energy correlators in four-dimensional gravitational theories, which provide a simple class of infrared-finite observables. We compute the one- and two-point energy correlators at one loop in $\mathcal{N}=8$ supergravity and…

High Energy Physics - Theory · Physics 2026-01-01 Dmitry Chicherin , Gregory P. Korchemsky , Emery Sokatchev , Alexander Zhiboedov

Quantum loops in the Resonance Chiral Theory are needed to improve the implementation of non-perturbative QCD. Furthermore, the one-loop computations can predict chiral low-energy couplings at next-to-leading order, a very appealing task.…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Rosell

We study the baryon-baryon interactions with strangeness $S = -2$ and corresponding momentum correlation functions in leading order covariant chiral effective field theory. The relevant low energy constants are determined by fitting to the…

High Energy Physics - Phenomenology · Physics 2023-01-25 Zhi-Wei Liu , Kai-Wen Li , Li-Sheng Geng

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 point out that, contrary to existing claims of the opposite, Vainshtein's theorem on the non-renormalization of the correlator of an axial and two vector currents, is only valid in the chiral limit. When quarks, that contribute to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kirill Melnikov

We investigate three-flavour chiral perturbation theory including virtual photons in a limit where the strange quark mass is much larger than the external momenta and the up and down quark masses, and where the external fields are those of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christoph Haefeli , Mikhail A. Ivanov , Martin Schmid

We construct a low-energy effective field theory which allows the full treatment of isospin-breaking effects in semileptonic weak interactions. To this end, we enlarge the particle spectrum of chiral perturbation theory with virtual photons…

High Energy Physics - Phenomenology · Physics 2011-08-17 M. Knecht , H. Neufeld , H. Rupertsberger , P. Talavera

We use results of fits to the OPAL spectral data, obtained from non-strange hadronic \tau decays, to evaluate the difference between the vector and axial current correlators, \Pi_{V-A}(Q^2). The behavior of \Pi_{V-A}(Q^2) near euclidean…

High Energy Physics - Phenomenology · Physics 2013-05-15 Diogo Boito , Maarten Golterman , Matthias Jamin , Kim Maltman , Santiago Peris

We perform the two loop level renormalization of quantum gravity in $2+\epsilon$ dimensions. We work in the background gauge whose manifest covariance enables us to use the short distance expansion of the Green's functions. We explicitly…

High Energy Physics - Theory · Physics 2009-10-30 Toshiaki Aida , Yoshihisa Kitazawa

A new calculation of the isospin and hypercharge axialvector current propagators ($\Delta_{A33}^{\mu\nu}(q^2)$ and $\Delta_{A88}^{\mu\nu}(q^2)$) to two loops in SU(3) x SU(3) chiral perturbation theory is used to derive chiral spectral…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eugene Golowich , Joachim Kambor