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Related papers: Sigma-term physics in the perturbative chiral quar…

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We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

Using the ideas of effective field theory and dimensional reduction, we relate the parameters of two low energy models of QCD: the O(N) nonlinear sigma model in D=3+1, which describes the dynamics of cool pions, and the O(N) Heisenberg…

High Energy Physics - Theory · Physics 2007-05-23 Marcello B. Silva Neto

We study the low energy pion-hyperon interaction considering effective non-linear chiral invariant Lagrangians including pions, rho mesons, hyperons and corresponding resonances. Then we calculate the S- and P-wave phase-shifts, total cross…

High Energy Physics - Phenomenology · Physics 2015-06-25 Celso de Camargo Barros Junior , Yogiro Hama

A lot of progress has been made in the direct determination of nucleon sigma terms. Using similar methods, we consider the sigma terms of the other octet baryons as well. These are determined on CLS gauge field ensembles employing the…

High Energy Physics - Lattice · Physics 2023-01-11 Pia Leonie Jones Petrak , Gunnar Bali , Sara Collins , Jochen Heitger , Daniel Jenkins , Simon Weishäupl

Fits of the p^4 covariant SU(2) baryon chiral perturbation theory to lattice QCD nucleon mass data from several collaborations for 2 and 2+1 flavors are presented. We consider contributions from explicit Delta(1232) degrees of freedom,…

High Energy Physics - Phenomenology · Physics 2015-06-18 L. Alvarez-Ruso , T. Ledwig , J. Martin-Camalich , M. J. Vicente Vacas

Several new theoretical and experimental developments concerning the determination of the nucleon sigma term are presented and discussed. Contribution to the Eighth International Symposium on Meson-Nucleon Physics and the Structure of the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Marc Knecht

A simple matching procedure is proposed to extract constraints on effective meson theories. In this way, a QCD prediction for the pion decay constant is found, F(pi)=2 m(pi)/pi, i.e. approximately 90MeV. The same procedure also determines…

High Energy Physics - Phenomenology · Physics 2007-05-23 Christopher Smith

Chiral Ward identities lead to consistent accounting for the sigma's width in the linear sigma model's Feynman rules. Reanalysis of pion scattering data at threshold imply a mass for the sigma of 600+ 200 - 100 MeV.

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ruiz-Altaba , J. L. Lucio , M. Napsuciale

We examine the D -> sigma pi amplitude through a constituent quark-meson model, incorporating heavy quark and chiral symmetries, finding a good agreement with the recent E791 data analysis of D -> 3 pi via sigma.

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Gatto , G. Nardulli , A. D. Polosa , N. A. Tornqvist

The gravitational form factors of pions, kaons and the nucleons are investigated by employing modern dispersive techniques and chiral perturbation theory. We determine the gravitational form factors of pions and kaons, extending our…

High Energy Physics - Phenomenology · Physics 2025-10-31 Xiong-Hui Cao , Feng-Kun Guo , Qu-Zhi Li , Bo-Wen Wu , De-Liang Yao

The scalar isoscalar form factor of the nucleon is calculated in the limit of a large number of colours in the framework of the chiral quark-soliton model. The calculation is based on an approximation justified by arguments from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Schweitzer

A confined quark model study in a couple of chirally anomalous processes is presented in comparison with effective meson Lagrangian approaches of various kind. The processes considered are \pi^0 \to \gamma \gamma and \gamma \to \pi^+ \pi^-…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. A. Ivanov , T. Mizutani

We include two new three-nucleon-force terms of pion-range - short-range form in our momentum-space calculations for the three-nucleon continuum. These two terms are expected by chiral perturbation theory to be non-negligible. We study the…

Nuclear Theory · Physics 2014-11-18 D. Hüber , J. L. Friar , A. Nogga , H. Witala , U. van Kolck

Heavy baryon chiral perturbation theory ($\chi$PT), where the $\Delta$ resonance is included, is used in order to examine the axial charged-current component of the weak interaction process at low neutrino energies. At leading chiral order…

Nuclear Theory · Physics 2019-03-13 Fred Myhrer

The ratio of the sigma mass to the pion mass at finite temperatures and densities provides for a quantitative signal of chiral symmetry breaking. We calculate this ratio by using an extension to finite chemical potential of the field…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Barducci , R. Casalbuoni , R. Gatto , G. Pettini

We extend our previous formulation of low-energy QCD in terms of an effective lagrangian containing operators of dimensionality $d\le 6$ constructed with pseudoscalars and quark fields, describing physics below the scale of chiral symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Andrianov , D. Espriu

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

Pionic beta decay \pi^+ to \pi^0 e^+ \nu_e is analyzed in chiral perturbation theory with virtual photons and leptons. All electromagnetic corrections up to order e^2 p^2 are taken into account. Theoretical results are confronted with…

High Energy Physics - Phenomenology · Physics 2010-11-23 Hannes Pichl

Sum of the time component of $\Sigma$ term and the induced pseudo scalar term in axial current is shown to be the t-channel pion pole in Born terms for pion electroproduction near threshold. We also show that this $\Sigma$ term represents…

Nuclear Theory · Physics 2008-11-26 Myung Ki Cheoun , Shin Nan Yang , Bong Soo Han , Il-Tong Cheon

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