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Related papers: Relations at Order $p^6$ in Chiral Perturbation Th…

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We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

Nuclear Theory · Physics 2020-12-03 Bo-Lin Huang

The dominant decay mode of the eta-prime, eta-prime -> eta pi pi, is investigated within the framework of infrared regularized U(3) chiral perturbation theory up to fourth chiral order and including one-loop corrections. We find reasonable…

High Energy Physics - Phenomenology · Physics 2011-03-23 N. Beisert , B. Borasoy

The role of the quark condensate for the low energy structure of QCD is discussed in some detail. In particular, the dependence of M_pi on m_u and m_d and the low energy theorems for the pi-pi scattering amplitude are reviewed. The new data…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Leutwyler

We investigate the $\eta^\prime \to \eta \pi\pi$ decays within the framework of large-$N_{C}$ chiral perturbation theory, by calculating the decay amplitudes up to next-to-next-to-leading order in a simultaneous expansion in powers of…

High Energy Physics - Phenomenology · Physics 2026-05-12 Feng-Zhi Chen , Xin-Qiang Li , Ya-Dong Yang , Yuan-He Zou

The form factors for the $K_{\ell 3}$ semileptonic decay are computed to order $O(p^4)$ in generalized chiral perturbation theory. The main difference with the standard $O(p^4)$ expressions consists in contributions quadratic in quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. H. Fuchs , M. Knecht , J. Stern

We analyse elastic-pion nucleon scattering to fourth order in heavy baryon chiral perturbation theory, extending the third order study published in Nucl. Phys. A640 (1998) 199. We use various partial wave analyses to pin down the low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner

Recent attempts to determine the pion polarizability by dispersion relations yield values that disagree with the predictions of chiral perturbation theory. These dispersion relations are based on specific forms for the absorptive part of…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Pasquini , D. Drechsel , S. Scherer

We analyze the second-class current decays $\tau^{-}\to\pi^{-}\eta^{(\prime)}\nu_{\tau}$ in the framework of Chiral Perturbation Theory with resonances. Taking into account $\pi^{0}$-$\eta$-$\eta^{\prime}$ mixing, the…

High Energy Physics - Phenomenology · Physics 2016-08-08 Rafel Escribano , Sergi Gonzalez-Solis , Pablo Roig

With the aim of generating new constraints on the OZI suppressed couplings of chiral perturbation theory a set of six equations of the Roy and Steiner type for the $S$- and $P$-waves of the $\pi K$ scattering amplitudes is derived. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Büttiker , S. Descotes-Genon , B. Moussallam

We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

We investigate electromagnetic effects in the framework of chiral perturbation theory. Using a completely independent method, we confirm Urech's results for the divergences of the one--loop functional in the electromagnetic sector. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Neufeld , H. Rupertsberger

In a continuation of an ongoing program, we use staggered chiral perturbation theory to calculate the one-loop chiral logarithms and analytic terms in the pseudoscalar meson leptonic decay constants, $f_{\pi^+_5}$ and $f_{K^+_5}$. We…

High Energy Physics - Lattice · Physics 2010-04-06 C. Aubin , C. Bernard

We investigate the reaction pn -> dpipi in the framework of Chiral Perturbation Theory. For the first time a complete calculation of the leading order contributions is presented. We identify various diagrams that are of equal importance as…

Nuclear Theory · Physics 2015-05-19 Bochao Liu , Vadim Baru , Johann Haidenbauer , Christoph Hanhart

In the framework of an effective chiral theory of mesons, pi K scattering is stydied. The scattering lengths, phase shifts, and cross sections are calculated. Theoretical results agree well with data. There is no new parameter in this…

High Energy Physics - Phenomenology · Physics 2014-11-17 Bing An Li , Dao-neng Gao , Mu-lin Yan

We present a theoretical analysis of the $D^-\to \pi^+\pi^- \ell\bar\nu$ and $\bar D^0\to \pi^+\pi^0 \ell\bar\nu$ decays. We construct a general angular distribution which can include arbitrary partial waves of $\pi\pi$. Retaining the…

High Energy Physics - Phenomenology · Physics 2017-07-12 Yu-Ji Shi , Wei Wang , Shuai Zhao

Symmetries affected by the anomaly do not survive quantization and cannot be understood classically. They are of fundamental importance and offer an opportunity of expanding the theoretical framework. We examine the theory of the anomalous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Olof Strandberg

We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on a combination of unitarized chiral perturbation theory and…

High Energy Physics - Phenomenology · Physics 2021-04-28 Yu-Ji Shi , Chien-Yeah Seng , Feng-Kun Guo , Bastian Kubis , Ulf-G. Meißner , Wei Wang

In the chiral limit, the $D=6$ contribution to the Operator Product Expansion (OPE) of the $\mathrm{VV-AA}$ correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to…

High Energy Physics - Phenomenology · Physics 2018-11-19 Antonio Rodríguez Sánchez , Antonio Pich

A general prescription for the construction of $\pi \pi$ interaction potentials which preserve scattering length constraints from chiral symmetry when iterated in scattering equations is derived. The prescription involves only minor…

Nuclear Theory · Physics 2009-10-28 R. Rapp , J. W. Durso , J. Wambach

We make a theoretical study of the $\J$ decays into $\omega\pi\pi$, $\phi\pi\pi$, $\omega K \bar{K}$ and $\phi K\bar{K}$ using the techniques of the chiral unitary approach stressing the important role of the scalar resonances dynamically…

High Energy Physics - Phenomenology · Physics 2009-11-10 L. Roca , J. E. Palomar , E. Oset , H. C. Chiang