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We explore the breaking of Lorentz and CPT invariance in strong interactions at low energy in the framework of chiral perturbation theory. Starting from the set of Lorentz-violating operators of mass-dimension five with quark and gluon…

High Energy Physics - Phenomenology · Physics 2016-08-17 J. P. Noordmans , J. de Vries , R. G. E. Timmermans

The chiral effective field theory (ChEFT) is an extension of the chiral perturbation theory that includes the nuclear forces and weak currents at the hadronic and nuclear scales. We propose a systematic framework of parametrising the…

High Energy Physics - Phenomenology · Physics 2025-01-27 Hao Sun , Yi-Ning Wang , Jiang-Hao Yu

By fitting pion masses and decay constants from 2+1 flavor staggered lattice simulations to the predictions of NLO and NNLO SU(2) chiral perturbation theory we determine the low-energy constants l_3 and l_4. The lattice ensembles were…

High Energy Physics - Lattice · Physics 2013-02-01 Enno E. Scholz , Szabolcs Borsanyi , Stephan Durr , Zoltan Fodor , Stefan Krieg , Andreas Schafer , Kalman K. Szabo

We consider the low energy effective action of QCD below the chiral symmetry breaking scale, including, in Wilson's spirit, all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. The effect of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu , R. Tarrach

The sector of decay constants of the octet of light pseudoscalar mesons in the framework of 'resummed' $SU(3)$ chiral perturbation theory is investigated. A theoretical prediction for the decay constant of $\eta$-meson is compared to a…

High Energy Physics - Phenomenology · Physics 2024-01-30 Marián Kolesár , Jaroslav Říha

We derive the the effective lagrangian that describes the interactions among vector, axial-vector mesons and pseudoscalars starting from the extended chiral quark model (ECQM). The results for the low-energy constants of this effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giancarlo D'Ambrosio , Domenec Espriu

We analyze how the recent precise hadronic tau-decay data on the V-A spectral function and general properties of QCD such as analyticity, the operator product expansion and chiral perturbation theory (ChPT), can be used to improve the…

High Energy Physics - Phenomenology · Physics 2014-11-20 M. Gonzalez-Alonso , A. Pich , J. Prades

We derive the chiral effective Lagrangian for heavy-light mesons in the heavy quark limit from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy. With…

High Energy Physics - Phenomenology · Physics 2020-09-02 Qing-Sen Chen , Hui-Feng Fu , Yong-Liang Ma , Qing Wang

We present procedures based on Bayesian statistics for estimating, from data, the parameters of effective field theories (EFTs). The extraction of low-energy constants (LECs) is guided by theoretical expectations in a quantifiable way…

Nuclear Theory · Physics 2016-06-22 S. Wesolowski , N. Klco , R. J. Furnstahl , D. R. Phillips , A. Thapaliya

We compare Chiral Perturbation Theory (ChPT) and the Linear Sigma Model (LSM) as realizations of low energy QCD for light mesons in a chirally imbalanced medium. The relations between the low-energy constants of the Chiral Lagrangian and…

High Energy Physics - Theory · Physics 2020-05-19 A. A. Andrianov , V. A. Andrianov , D. Espriu

We sample the posterior probability distributions of the low-energy constants (LECs) in $\Delta$-full chiral effective field theory ($\chi$EFT) up to third order. We use eigenvector continuation for fast and accurate emulation of the…

Nuclear Theory · Physics 2024-07-29 Isak Svensson , Andreas Ekström , Christian Forssén

We extract the next-to-leading-order low-energy constants \bar\ell_3 and \bar\ell_4 of SU(2) chiral perturbation theory, based on precise lattice data for the pion mass and decay constant on ensembles generated by the Wuppertal-Budapest…

High Energy Physics - Lattice · Physics 2013-09-03 Szabolcs Borsanyi , Stephan Durr , Zoltan Fodor , Stefan Krieg , Andreas Schafer , Enno E Scholz , Kalman K Szabo

Chiral perturbation theory (ChPT) is an effective field theory that describes the properties of strongly-interacting systems at energies far below typical hadron masses. The degrees of freedom are hadrons instead of the underlying quarks…

High Energy Physics - Phenomenology · Physics 2022-12-27 Stefan Scherer , Matthias R. Schindler

The inclusion of electromagnetism in a low energy effective theory is worth further study in view of the present high precision experiments (muon g-2, pi_0->2 gamma, tau decays, etc.). In particular in many applications of chiral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ignazio Scimemi

By applying chiral-perturbation-theory methods to the QCD sector of the Lorentz-violating Standard-Model Extension, we investigate Lorentz violation in the strong interactions. In particular, we consider the CPT-even pure-gluon operator of…

High Energy Physics - Phenomenology · Physics 2017-05-03 J. P. Noordmans

Strongly interacting massive particles are viable dark matter candidates. We consider a dark $Sp(4)$ gauge theory with $N_f=2$ fermions in the pseudo-real fundamental representation and construct the chiral low-energy effective theory. We…

High Energy Physics - Phenomenology · Physics 2023-03-22 Suchita Kulkarni , Axel Maas , Seán Mee , Marco Nikolic , Josef Pradler , Fabian Zierler

These lectures give an introduction to baryon chiral perturbation theory. I show in detail how to construct the chiral effective pion-nucleon Lagrangian in the one loop approximation. Particular emphasis is put on the physics related to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ulf-G. Meißner

The derivation of the `classical' low-energy theorem (LET) for \gamma p \rightarrow p\pi^0 is re-examined and compared to chiral perturbation theory. Both results are correct and are not contradictory; they differ because different…

Nuclear Theory · Physics 2015-06-26 H. W. L. Naus , R. M. Davidson

Chiral perturbation theory is a very general expansion method which can be applied to any dynamical system which has continuous global symmetries and in which the ground state breaks some of these spontaneously. In these lectures we explain…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Moussallam

Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for…

High Energy Physics - Phenomenology · Physics 2008-11-26 Véronique Bernard