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The anomalous Lagrangian in mesonic Chiral Perturbation Theory, of odd intrinsic parity, is determined to next-to-next-to-leading order thereby completing the order $p^8$ Lagrangian. A schematic view of its construction with the MINIBAR…

High Energy Physics - Phenomenology · Physics 2023-12-06 Johan Bijnens , Nils Hermansson-Truedsson , Joan Ruiz-Vidal

Anchoring our understanding of low-energy nuclear and hadronic physics to the fundamental theory of strong interactions, QCD, remains and outstanding challenge for physicists. Lattice QCD and chiral perturbation theory are the most powerful…

High Energy Physics - Lattice · Physics 2013-05-06 Andre Walker-Loud

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

The dimensionless parameter $\xi = M_\pi^2/(16 \pi^2 F_\pi^2)$, where $F_\pi$ is the pion decay constant and $M_\pi$ is the pion mass, is expected to control the convergence of chiral perturbation theory applicable to QCD. Here we…

High Energy Physics - Lattice · Physics 2008-11-26 D. J. Cecile , Shailesh Chandrasekharan

The possibility of the formation of a local parity breaking (LPB) in a quark-hadron medium is examined as a result of chiral symmetry violation, i.e, the appearance of difference between the average densities of right- and left-handed…

High Energy Physics - Phenomenology · Physics 2019-10-23 A. A. Andrianov , V. A. Andrianov , D. Espriu , A. V. Iakubovich , A. E. Putilova

The interplay between the chiral anomaly and the non-leptonic weak Hamiltonian is studied. The structure of the corresponding effective Lagrangian of odd intrinsic parity is established. It is shown that the factorizable contributions…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Bijnens , G. Ecker , A. Pich

We evaluate the coefficients of the effective chiral Lagrangian to $O(p^4)$ in the strong coupling, large-N expansion. In this limit we explicitly perform the functional integral over fundamental degrees of freedom and obtain the effective…

High Energy Physics - Lattice · Physics 2009-10-22 Stanley Myint , Claudio Rebbi

A non-perturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to \sqrt{s}\lesssim 1.2 GeV, extending in this way the range of applicability…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Oller , F. Guerrero , E. Oset , J. R. Pelaez

We review the failure of lowest order chiral $SU(3)_L \times SU(3)_R$ perturbation theory $\chi$PT$_3$ to account for amplitudes involving the $f_0(500)$ resonance and $O(m_K)$ extrapolations in momenta. We summarize our proposal to replace…

High Energy Physics - Phenomenology · Physics 2015-02-25 R. J. Crewther , Lewis C. Tunstall

The chiral Lagrangian describing the low-energy behavior of N_f=2+1+1 twisted mass lattice QCD is constructed through O(a^2). In contrast to existing results the effects of a heavy charm quark are consistently removed, leaving behind a…

High Energy Physics - Lattice · Physics 2014-09-05 Oliver Baer , Ben Horz

After a brief introduction to chiral perturbation theory, the effective field theory of the standard model at low energies, two recent applications are reviewed: elastic pion-pion scattering to two-loop accuracy and the complete…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gerhard Ecker

The effective chiral theory of the in-medium NN interactions is considered. The shallow bound states, which complicate the effective field theory analysis in vacuum do not exist in matter. We show that the next-to-leading order terms in the…

Nuclear Theory · Physics 2016-09-08 B. Krippa

Standard SU(2) Heavy Baryon Chiral Perturbation Theory is extended in order to include the case of small or even vanishing quark condensate. The effective lagrangian is given to ${\cal O}(p^2)$ in its most general form and to ${\cal…

High Energy Physics - Phenomenology · Physics 2011-09-13 Robert Baur , Joachim Kambor

Starting from a relativistic Lagrangian for pseudoscalar Goldstone bosons and vector mesons in the antisymmetric tensor representation, a one-loop calculation is performed to pin down the divergent structures that appear for the effective…

High Energy Physics - Phenomenology · Physics 2016-07-27 Carla Terschlüsen , Stefan Leupold

An introduction to the basic ideas and methods of Chiral Perturbation Theory is presented. Several phenomenological applications of the effective Lagrangian technique to strong, electromagnetic and weak interactions are discussed.

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Pich

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic odd-intrinsic-parity sector at order $p^6$. The Lagrangian contains 24 in principle measurable terms and no contact terms for the general case of…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bijnens , L. Girlanda , P. Talavera

An introduction to the basic ideas and methods of Chiral Perturbation Theory is presented. Several phenomenological applications of the effective Lagrangian technique to strong, electromagnetic and weak interactions are discussed.

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Pich

We perform a detailed, fully-correlated study of the chiral behavior of the pion mass and decay constant, based on 2+1 flavor lattice QCD simulations. These calculations are implemented using tree-level, O(a)-improved Wilson fermions, at…

I discuss a low-energy effective field theory which permits the full treatment of isospin-breaking effects in semileptonic weak interactions. In addition to the pseudoscalars and the photon, also the light leptons have to be included as…

High Energy Physics - Phenomenology · Physics 2011-04-15 H. Neufeld

We perform a detailed study of mesonic properties in a class of holographic models of QCD, which is described by the Yang-Mills plus Chern-Simons action. By decomposing the 5 dimensional gauge field into resonances and integrating out the…

High Energy Physics - Phenomenology · Physics 2013-01-17 Fen Zuo