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Related papers: Complete $CP$ Eigen-bases of Mesonic Chiral Lagran…

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Chiral perturbation theory describes the low energy dynamics of mesons and baryons in terms of the nonlinear Goldstone boson and fermion degrees of freedom. Through the Young tensor technique, we construct the on-shell operator bases for…

High Energy Physics - Phenomenology · Physics 2024-04-24 Chuan-Qiang Song , Hao Sun , Jiang-Hao Yu

The main elements and methods of chiral perturbation theory, the effective field theory of the Standard Model below the scale of spontaneous chiral symmetry breaking, are summarized. Applications to the interactions of mesons and baryons at…

High Energy Physics - Phenomenology · Physics 2010-12-02 Gerhard Ecker

We construct the most general chirally-invariant Lagrangian for mesons in the presence of external sources coupled to the tensor current \bar{\psi}\sigma_{\mu\nu}\psi. In order to have only even terms in the chiral expansion, we consider…

High Energy Physics - Phenomenology · Physics 2011-07-19 Oscar Cata , Vicent Mateu

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

Interactions of $a_2, K^*_2, f_2$ and $f_2'$ tensor-mesons with low-energy $\pi, K, \eta, \eta'$ pseudo-scalar mesons are constrained by chiral symmetry. We derive a chiral Lagrangian of tensor mesons in which the tensor mesons are treated…

High Energy Physics - Phenomenology · Physics 2010-02-03 Chi-Keung Chow , Soo-Jong Rey

A method to find relations between the operators in the mesonic Lagrangian of Chiral Perturbation Theory at order p^6 is presented. The procedure can be used to establish if the basis of operators in the Lagrangian is minimal. As an…

High Energy Physics - Phenomenology · Physics 2015-10-21 Pedro Ruiz-Femenia , Mehran Zahiri-Abyaneh

We apply Hilbert series techniques to the enumeration of operators in the mesonic QCD chiral Lagrangian. Existing Hilbert series technologies for non-linear realizations are extended to incorporate the external fields. The action of charge…

High Energy Physics - Phenomenology · Physics 2021-02-24 Lukas Graf , Brian Henning , Xiaochuan Lu , Tom Melia , Hitoshi Murayama

Charm and bottom mesons and baryons are incorporated into a low energy chiral Lagrangian. Interactions of the heavy hadrons with light octet Goldstone bosons are studied in a framework which represents a synthesis of chiral perturbation…

High Energy Physics - Phenomenology · Physics 2010-11-01 Peter Cho

In Alonso et al., JHEP 12 (2014) 034, the CP-even sector of the effective chiral Lagrangian for a generic composite Higgs model with a symmetric coset has been constructed, up to four momenta. In this paper, the CP-odd couplings are studied…

High Energy Physics - Phenomenology · Physics 2016-05-04 I. M. Hierro , L. Merlo , and S. Rigolin

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

We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta…

High Energy Physics - Phenomenology · Physics 2014-05-07 Shao-Zhou Jiang , Feng-Jun Ge , Qing Wang

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

I review recent developments in chiral perturbation theory (CHPT) which is the effective field theory of the standard model below the chiral symmetry breaking scale. The effective chiral Lagrangian formulated in terms of the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2010-12-17 Ulf-G. Meißner

We establish a systematic construction of the on-shell amplitude/operator basis for Chiral Perturbation Theory (ChPT) in $D=4$ spacetime dimensions and with an arbitrary number of flavors $N_f$. For kinematic factors, we employ…

High Energy Physics - Phenomenology · Physics 2023-01-25 Ian Low , Jing Shu , Ming-Lei Xiao , Yu-Hui Zheng

We show that the recently constructed complete and ``minimal'' third order meson-baryon effective chiral Lagrangian can be further reduced from 84 to 78 independent operators.

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Frink , Ulf-G. Meißner

A non-perturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe the meson-meson interaction up to about 1.2 GeV. The approach uses the O(p^2) and O(p^4) chiral…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. A. Oller , E. Oset , J. R. Pelaez

Chiral perturbation theory (ChPT) is a low-energy effective field theory of QCD and also a nonlinear sigma model based on the symmetry breaking pattern ${\rm SU}(N_f)\times {\rm SU}(N_f)\to {\rm SU}(N_f)$. In the limit of massless $N_f$…

High Energy Physics - Phenomenology · Physics 2021-01-04 Lin Dai , Ian Low , Thomas Mehen , Abhishek Mohapatra

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

A qualitative account of the meson-meson and meson-baryon interactions using chiral Lagrangians and the inverse amplitude method in coupled channels is done. The method, imposing exact unitarity, proves to be very useful tool to extend the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Oset , J. A. Oller , J. R. Pelaez , A. Ramos

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic even-intrinsic-parity sector at order $p^6$. The Lagrangian contains 112 in principle measurable + 3 contact terms for the general case of $n$ light…

High Energy Physics - Phenomenology · Physics 2010-02-03 Johan Bijnens , Gilberto Colangelo , Gerhard Ecker
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