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We study rare three-body decays of the Omega baryon using SU(3) chiral perturbation theory, the successful effective field theory of quantum chromodynamics at low energies. At leading order, we calculate the branching fractions of the decay…

High Energy Physics - Phenomenology · Physics 2022-08-24 Stefan Leupold , Cornelis J. G. Mommers

Applications imposing SU(3) chiral symmetry on non-relativistic field theory are considered. The first example is a calculation of the self-energy shifts of the spin-3/2 decuplet baryons in nuclear matter, from the chiral effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Ouellette

An extended $U(3)_L\bigotimes U(3)_R$ chiral effective field theory which includes pseudoscalar and vector meson nonets as dynamic variables is presented. The theory combines a hidden symmetry approach with a general procedure of including…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Gedalin , A. Moalem , L. Razdolskaya

I discuss isospin breaking effects within the standard model. Chiral perturbation theory presents the appropriate theoretical framework for such an investigation in the low--energy range. Recent results on the electromagnetic contributions…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Neufeld

We analyze the Fubini-Furlan-Rosetti sum rule in the framework of covariant baryon chiral perturbation theory to leading one-loop accuracy and including next-to-leading order polynomial contributions. We discuss the relation between the…

Nuclear Theory · Physics 2009-11-11 Véronique Bernard , Bastian Kubis , Ulf-G. Meißner

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

We calculate the octet baryon magnetic moments in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-leading order. At this order, there are nine low-energy constants,…

High Energy Physics - Phenomenology · Physics 2018-06-25 Yang Xiao , Xiu-Lei Ren , Jun-Xu Lu , Li-Sheng Geng , Ulf-G. Meißner

In this work, the complete one loop calculation of meson-meson scattering amplitudes within U(3)\otimes U(3) chiral perturbation theory with explicit resonance states is carried out for the first time. Partial waves are unitarized from the…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zhi-Hui Guo , J. A. Oller

In a small window of phase space, chiral perturbation theory can be used to make standard model predictions for tau decays into two and three pions. For $\tau \to 2\pi \nu_\tau$, we give the analytical result for the relevant form factor…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Colangelo , M. Finkemeier , R. Urech

The decays eta, eta-prime -> pi^+ pi^- gamma are investigated within an approach that combines one-loop chiral perturbation theory with a coupled channel Bethe-Salpeter equation which satisfies unitarity constraints and generates vector…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Borasoy , R. Nissler

Broken chiral symmetry has become the basis for a unified treatment of hadronic interactions at low energies. After reviewing mechanisms for spontaneous chiral symmetry breaking, I outline the construction of the low--energy effective field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gerhard Ecker

The decay $\eta \to \pi^0 \gamma \gamma$ is discussed in the framework of SU(3) chiral perturbation theory. The process is dominated by the ${\cal{O}}(p^6)$ in the momentum expansion where tree-level amplitudes from the effective Lagrangian…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Jetter

We improve the calculations of the $\eta \to \pi^0 \gamma \gamma$ decay within the context of meson chiral lagrangians. We use a chiral unitary approach for the meson-meson interaction, thus generating the $a_0(980)$ resonance and fixing…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Oset , J. R. Pelaez , L. Roca

We compute the polarisability of the nucleon to leading order in chiral perturbation theory. The contributions from kaons and baryon resonances as intermediate states are included in addition to the contribution from pions and nucleons that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Malcolm N. Butler , Martin J. Savage

We describe details of the renormalization of two-loop integrals relevant to the calculation of the nucleon mass in the framework of manifestly Lorentz-invariant chiral perturbation theory using infrared renormalization. It is shown that…

High Energy Physics - Phenomenology · Physics 2021-02-26 M. R. Schindler , D. Djukanovic , J. Gegelia , S. Scherer

We incorporate heavy-light mesons into staggered chiral perturbation theory, working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first non-trivial order in the chiral expansion, staggered taste violations affect the…

High Energy Physics - Lattice · Physics 2009-11-11 C. Aubin , C. Bernard

Pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering are analyzed within a scheme based on the chiral Lagrangian. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes…

High Energy Physics - Phenomenology · Physics 2011-02-11 A. M. Gasparyan , M. F. M. Lutz

A systematic study of the $\eta$-$\eta'$ mixing in Large-$N_c$ chiral perturbation theory is presented with special emphasis on the role of the next-to-next-to-leading-order contributions in the combined momentum, quark-mass, and $1/N_c$…

High Energy Physics - Phenomenology · Physics 2015-11-09 Patricia Bickert , Pere Masjuan , Stefan Scherer

We present the complete one-loop calculation of all the two meson scattering amplitudes within the framework of SU(3) Chiral Perturbation Theory, which includes pions, kaons and the eta. In addition, we have unitarized these amplitudes with…

High Energy Physics - Phenomenology · Physics 2019-05-15 A. Gomez Nicola , J. R. Pelaez

The use of SU(3) chiral perturbation theory in the analysis of low energy meson-baryon interactions is discussed. It is emphasized that short distance effects, arising from propagation of Goldstone bosons over distances smaller than a…

High Energy Physics - Phenomenology · Physics 2011-05-05 John F. Donoghue , Barry R. Holstein , Bugra Borasoy