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We construct the most general low-energy effective lagrangian including local parity violating terms parametrized by an axial chemical potential or chiral imbalance $\mu_5$, up to ${\cal O}(p^4)$ order in the chiral expansion for two light…

High Energy Physics - Phenomenology · Physics 2020-07-15 Domènec Espriu , Angel Gómez Nicola , Andrea Vioque-Rodríguez

Chiral low-energy constants (LECs) carry the information of short-distance dynamics involving heavier degrees of freedom not present in the chiral Lagrangian. Our knowledge of the LECs is all-important at phenomenological level because…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Portoles

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 examine low energy limit of $U(3)_L\times U(3)_R$ chiral theory of mesons through integrating out fields of vector and axial-vector mesons. The effective lagrangian for pseudoscalar mesons at $O(p^4)$ has been obtained, and five low…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiao-Jun Wang , Mu-Lin Yan

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

I give an overview of the calculations done in three-flavour Chiral perturbation theory at next-to-next-to-leading order with an emphasis on those relevant for an improvement in the accuracy of the measurement of $V_{us}$. It is pointed out…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan Bijnens

Chiral perturbation theory is the effective field theory of the Standard Model at low energies. After a short introduction and overview, I discuss three topics where the chiral approach leads to a deeper understanding of low-energy hadron…

High Energy Physics - Phenomenology · Physics 2015-06-17 Gerhard Ecker

The low energy behaviour of Quantum Chromodynamics makes unreliable an expansion in terms of its coupling strength, since nothing guarantees the convergence of such expansion. To overcomer such difficulty one resorts to Lattice QCD or…

High Energy Physics - Phenomenology · Physics 2017-08-03 Adolfo Guevara

This study presents a tree-level calculation of the scattering amplitude for the $lp\to lp\gamma$ (with a hard photon) process within the framework of Chiral Perturbation Theory. Our calculations, based on the $O(p^2)$ and $O(p^3)$…

High Energy Physics - Phenomenology · Physics 2026-02-13 Xu Wang , Kai-Ge Kang , Zhiguang Xiao , Han-Qing Zheng

The systematic effective Lagrangian method was first formulated in the context of the strong interaction: chiral perturbation theory (CHPT) is the effective theory of Quantum Chromodynamics (QCD). It was then pointed out that the method can…

High Energy Physics - Phenomenology · Physics 2014-04-30 Christoph P. Hofmann

In these lectures, the status of baryon chiral perturbation theory is reviewed. Particular emphasis is put on the two--flavor sector and the physics related to electromagnetic probes. I discuss in some detail the structure of the effective…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ulf-G. Meißner

Guided by the large-Nc limit of QCD, we construct the most general chiral resonance Lagrangian that can generate chiral low-energy constants up to O(p^6). By integrating out the resonance fields, the low-energy constants are parametrized in…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. Cirigliano , G. Ecker , M. Eidemuller , R. Kaiser , A. Pich , J. Portoles

Chiral low-energy constants incorporate short-distance information from the dynamics involving heavier degrees of freedom not present in the chiral Lagrangian. We have studied the contribution of the lightest resonances to the chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Portoles

The effective chiral Lagrangian in both nonlocal form $L_{ECCL}$ and standard local form $L_{ECL}$ are derived in QCD using the confining kernel, obtained in the vacuum correlator formalism. As a result all coefficients of $L_{ECL}$ can be…

High Energy Physics - Phenomenology · Physics 2016-07-20 Yu. A. Simonov

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 values of the low-energy constants (LECs) are very important in the chiral perturbation theory. This paper adopts a Bayesian method with the truncation errors to globally fit eight next-to-leading order (NLO) LECs $L_i^r$ and…

High Energy Physics - Phenomenology · Physics 2024-08-21 Hao-Xiang Pan , De-Kai Kong , Qiao-Yi Wen , Shao-Zhou Jiang

We present a calculation of the low energy constants describing the real and imaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$. Leading and next leading order chiral perturbation theory is used and its applicability…

High Energy Physics - Lattice · Physics 2010-01-21 Shu Li , Norman H. Christ

It is shown, with the example of the experimentally known Adler function, that there is no matching in the intermediate region between the two asymptotic regimes described by perturbative QCD (for the very short-distances) and by chiral…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Peris , M. Perrottet , E. de Rafael

Chiral perturbation theory is a much successful effective field theory of quantum chromodynamics at low energies. The effective Lagrangian is constructed systematically order by order in powers of the momentum $p^2$, and until now the…

High Energy Physics - Phenomenology · Physics 2020-06-18 Nils Hermansson-Truedsson

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
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