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Related papers: Dispersive Approach to Chiral Perturbation Theory

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The $\epsilon$-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the $\epsilon$-regime, as a function of the fermion mass. The microscopic…

High Energy Physics - Lattice · Physics 2020-01-01 Taro V. Brown , Maarten Golterman , Svend Krøjer , Yigal Shamir , K. Splittorff

We present a dispersive method which allows to investigate the low-energy couplings of chiral perturbation theory at the next-to-leading order (NLO) in the 1/N(C) expansion, keeping full control of their renormalization scale dependence.…

High Energy Physics - Phenomenology · Physics 2010-10-27 I. Rosell , J. J. Sanz-Cillero , A. Pich

We study the |Delta I|=3/2 amplitudes of hyperon non-leptonic decays of the form B->B'+pi in the context of chiral perturbation theory. The lowest-order predictions are determined in terms of only one unknown parameter and are consistent…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Abd El-Hady , Jusak Tandean , G. Valencia

We calculate the width of the delta resonance at leading two-loop order in baryon chiral perturbation theory. This gives a correlation between the leading pion-nucleon-delta and pion-delta couplings, which is relevant for the analysis of…

High Energy Physics - Phenomenology · Physics 2016-10-19 Jambul Gegelia , Ulf-G. Meißner , Dmitrij Siemens , De-Liang Yao

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

We perform a complete one-loop calculation of meson-meson scattering, and of the scalar and pseudoscalar form factors in U(3) chiral perturbation theory with the inclusion of explicit resonance fields. This effective field theory takes into…

High Energy Physics - Phenomenology · Physics 2015-06-04 Zhi-Hui Guo , J. A. Oller , J. Ruiz de Elvira

Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) Chiral Perturbation Theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Dobado , J. R. Pelaez

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow…

High Energy Physics - Phenomenology · Physics 2015-06-03 Stefan Scherer

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 study the $SU(2)$ Principal Chiral Model (PCM) in the presence of an integrable $\eta$-deformation. We put the theory on $\mathbb{R}\times S^1$ with twisted boundary conditions and then reduce the circle to obtain an effective quantum…

High Energy Physics - Theory · Physics 2016-08-24 Saskia Demulder , Daniele Dorigoni , Daniel C. Thompson

We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , P. Stassart

We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop…

High Energy Physics - Lattice · Physics 2016-09-01 C. Aubin , C. Bernard

In this present work, we study the scattering of a pseudoscalar meson off one ground state octet baryon in covariant baryon chiral perturbation theory up to the next-to-next-to-leading order. We remove the power counting breaking terms with…

High Energy Physics - Phenomenology · Physics 2019-02-13 Junxu Lu , Lisheng Geng , Xiulei Ren , Menglin Du

We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special…

Nuclear Theory · Physics 2019-10-23 V. Baru , E. Epelbaum , J. Gegelia , X. -L. Ren

We consider the Resonance Chiral Theory with one multiplet of scalar and pseudoscalar resonances, up to bilinear couplings in the resonance fields, and evaluate its beta-function at one-loop with the use of the background field method. Thus…

High Energy Physics - Phenomenology · Physics 2009-11-11 I. Rosell , P. Ruiz-Femenia , J. Portoles

The $s-$wave meson-baryon scattering is analyzed for the isospin-strangeness $I=1/2, S=0$ and $I=0,S=-1$ sectors, in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. For both sectors, four channels have been…

Nuclear Theory · Physics 2017-08-23 J. Nieves , C. Garcia-Recio , E. Ruiz Arriola , M. J. Vicente Vacas

We study the axion and axion-like particle production from the $\eta\to\pi\pi a$ decay within the $SU(3)$ chiral perturbation theory up to the one-loop level. The conventional $SU(3)$ chiral low energy constants are found to be able to…

High Energy Physics - Phenomenology · Physics 2024-03-26 Jin-Bao Wang , Zhi-Hui Guo , Zhun Lu , Hai-Qing Zhou

In this summary of the application of Dyson-Schwinger equations to the theory and phenomenology of hadrons, some deductions following from a nonperturbative, symmetry-preserving truncation are highlighted, notable amongst which are results…

Nuclear Theory · Physics 2008-11-26 M. S. Bhagwat , A. Krassnigg , P. Maris , C. D. Roberts

Effective field theory techniques are used to describe the interaction of heavy hadrons in a model independent way. Predictability is obtained by exploiting the symmetries of QCD. Heavy hadron chiral perturbation theory is reviewed and used…

High Energy Physics - Phenomenology · Physics 2007-05-23 Iain W. Stewart

Data on pion polarizabilities obtained in different experiments are reviewed. The values of the dipole and quadrupole polarizabilities of the pi^0 and pi^{+-} mesons found are compared with predictions of dispersion sum rules (DSRs) and…

Nuclear Theory · Physics 2008-02-18 L. V. Fil'kov , V. L. Kashevarov