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The present status of Chiral Perturbation Theory (ChPT) in the strong mesonic sector is discussed. A very short introduction to ChPT is followed by an overview of existing two-loop calculations and the determination of the…

High Energy Physics - Phenomenology · Physics 2009-04-24 Johan Bijnens

We determine the low-energy constants (LECs) $f_0$, $L_4^r$ and $L_5^r$ of SU(3) Chiral Perturbation Theory ($\chi$PT) from a lattice QCD calculation of the scalar form factors of the pion with fully controlled systematics. Lattice results…

High Energy Physics - Lattice · Physics 2025-03-27 Georg von Hippel , Konstantin Ottnad

The chiral symmetry of QCD requires energy-dependent pionic strong interactions at low energies. This constraint, however, is not fulfilled by the usual Breit--Wigner parameterization of pionic resonances, leading to masses larger than the…

High Energy Physics - Phenomenology · Physics 2019-06-12 Meng-Lin Du , Feng-Kun Guo , Ulf-G. Meißner

We predict differential decay distributions for phi->rho gamma gamma and phi -> omega gamma gamma using chiral perturbation theory. We also consider the isospin violating decay phi -> omega pi^0. Experimental information on these decays can…

High Energy Physics - Phenomenology · Physics 2009-10-28 Adam K. Leibovich , Aneesh V. Manohar , Mark B. Wise

A prediction for the contributions of chiral loops and the L$\sigma$M model to the radiative $\phi\to\pi^0\eta\gamma$ decay mode is presented. The L$\sigma$M is used as an appropriate framework for describing the pole effects of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Escribano

Recently, the development of chiral perturbation theory has allowed the generation of rigorous low energy theorems for various hadronic processes based only on the chiral invariance of the underlying QCD Lagrangian. Such techniques are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Barry R. Holstein

In-medium chiral perturbation theory is used to calculate the density dependence of the quark condensate $<\bar qq>$. The corrections beyond the linear density approximation are obtained by differentiating the interaction contributions to…

Nuclear Theory · Physics 2008-11-26 N. Kaiser , P. de Homont , W. Weise

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

We describe a rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\chi$PT) are relegated to…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Stern , H. Sazdjian , N. H. Fuchs

We review several results that have been obtained using lattice QCD with the staggered quark formulation. Our focus is on the quantities that have been calculated numerically with low statistical errors and have been extrapolated to the…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin

Recent progress in the description of the properties of hadronic atoms on the basis of non-relativistic effective Lagrangian approach and Chiral Perturbation Theory (ChPT) is reported. For the case of the pi(+)pi(-) atom decay, the problem…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Rusetsky

First, the chiral phase transition at nonzero temperature and baryon chemical potential is studied at mean field level in the sigma model that includes quark degrees of freedom explicitly. For small bare quark masses the critical point…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Mocsy

I discuss the recent attempts to build an effective chiral Lagrangian incorporating massive resonance states. A useful approximation scheme to organize the resonance Lagrangian is provided by the large-Nc limit of QCD. Integrating out the…

High Energy Physics - Phenomenology · Physics 2009-06-25 Antonio Pich

Recently the new interest arised (hep-ph/0403139) to the chiral coefficients $L_{11}, L_{12}, L_{13}$ in the low-energy ChPT lagrangian describing the pseudoscalar meson coupling to gravity and/or light singlet dilatons. In 90ties we…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Andrianov , V. A. Andrianov , V. L. Yudichev

Chiral symmetry and its spontaneous breaking play an important role both in the light hadron and heavy hadron systems. The chiral perturbation theory ($\chi$PT) is the low energy effective field theory of the QCD. In this work, we shall…

High Energy Physics - Phenomenology · Physics 2023-05-09 Lu Meng , Bo Wang , Guang-Juan Wang , Shi-Lin Zhu

New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Silas R. Beane

A phenomenological analysis of various decay processes is performed in order to test the large $N_c$ Chiral Perturbation Theory predictions for the octet and singlet pseudoscalar decay constants and mixing angles. The results obtained hint…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Escribano

A review of photo-pion experiments on the nucleon in the near threshold region is presented. Comparisons of the results are made with the predictions of the low energy theorems of QCD calculated using chiral perturbation theory (ChPT) which…

Nuclear Experiment · Physics 2009-12-15 Aron M. Bernstein , Mohammad W. Ahmed , Sean Stave , Ying K. Wu , Henry R. Weller

The chiral phase transition at finite temperature is investigated in the linear sigma model, which is regarded as a low energy effective theory of QCD with three momentum cutoff, in the variational method with the Gaussian approximation in…

High Energy Physics - Phenomenology · Physics 2009-06-25 Y. Tsue , K. Matsuda

After giving a short introduction to the Nambu-Jona-Lasinio model with an anomaly term, we show the importance of the scalar-scalar correlation in the low-energy hadron dynamics, which correlation may be summarized by a scalar-isoscalar…

High Energy Physics - Phenomenology · Physics 2016-09-01 Teiji Kunihiro