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Related papers: Chiral Expansion Theory at Vector Meson Scale

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The chiral expansion of the one-loop corrections to baryon masses is examined in a generic meson-cloud model with meson-baryon form factors. For pion loops, the expansion is rapidly convergent and at fourth order in $m_\pi$ accurately…

High Energy Physics - Phenomenology · Physics 2008-11-26 Richard E. Stuckey , Michael C. Birse

A detailed investigation of the low-energy chiral expansion is presented within a model truncation of QCD. The truncation allows for a phenomenological description of the quark-quark interaction in a framework which maintains the global…

Nuclear Theory · Physics 2008-11-26 M. R. Frank , T. Meissner

The chiral extrapolation of the vector meson mass calculated in partially-quenched lattice simulations is investigated. The leading one-loop corrections to the vector meson mass are derived for partially-quenched QCD. A large sample of…

High Energy Physics - Lattice · Physics 2010-02-17 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We address the issue of a consistent power counting scheme in manifestly Lorentz-invariant baryon chiral perturbation theory. We discuss the inclusion of vector mesons in the calculation of the nucleon electromagnetic form factors. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Scherer

We show that in the presence of massive particles such as nucleons, the standard low energy expansion in powers of meson momenta and light quark masses in general only converges in part of the low energy region. The expansion of the scalar…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Becher , H. Leutwyler

We study radial excitations of pseudoscalar and vector (q bar q) mesons within a chiral approach. We derive a general form for a chiral Lagrangian describing processes involving excited pseudoscalar and vector mesons. The parameters of the…

High Energy Physics - Phenomenology · Physics 2010-04-21 Thomas Gutsche , Valery E. Lyubovitskij , Malte C. Tichy

Based on the chiral perturbation theory, we investigate the low-energy dynamics of nucleon parton distributions. We show that in different regions of the momentum fraction $x$ the chiral expansion is significantly different. For nucleon…

High Energy Physics - Phenomenology · Physics 2014-04-08 A. Moiseeva , A. A. Vladimirov

We study the $N_c$ scalings of pion-nucleon and nucleon-nucleon scatterings and find that a consistent large $N_c$ counting can be established if we assume Witten's counting rules are applied to matrix elements or scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2019-01-30 Guo-Ying Chen

An extended $U(3)_L\bigotimes U(3)_R$ chiral theory which includes pseudoscalar and vector meson nonets as dynamic degrees of freedom is presented. We combine a hidden symmetry approach with a general procedure of including the $\eta'$…

Nuclear Theory · Physics 2007-05-23 E. Gedalin , A. Moalem , L. Razdolskaya

We evaluate radiative decays of $\rho$ and $\omega$ going to two neutral mesons, $\pi^{0} \pi^{0}$ and $\pi^{0} \eta$. We use the sequential vector decay mechanisms in addition to chiral loops and $\rho$-$\omega$ mixing. The chiral loops…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. E. Palomar , S. Hirenzaki , E. Oset

Based on a recently derived effective chiral meson Lagrangian from the extended SU(2)\otimes SU(2) Nambu -- Jona-Lasinio (ENJL) model, in the linear realization of chiral symmetry, we extract to leading order in the 1/N_c expansion all…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander A. Osipov , Marcos Sampaio , Brigitte Hiller

We study the quark mass expansion of the magnetic moments of the nucleon in a chiral effective field theory including nucleons, pions and delta resonances as explicit degrees of freedom. We point out that the usual powercounting applied so…

High Energy Physics - Lattice · Physics 2007-05-23 Thomas R. Hemmert , Wolfram Weise

The quark propagator is calculated in the Nambu-Jona-Lasinio (NJL) model in a self-consistent 1/Nc-expansion at next-to-leading order. The calculations are carried out iteratively in Euclidean space. The chiral quark condensate and its…

High Energy Physics - Phenomenology · Physics 2010-05-24 Daniel Müller , Michael Buballa , Jochen Wambach

A brief overview of Quantum Chromodynamics (QCD) as a non-Abelian gauge field theory, including symmetries and formalism of interest, will precede a focused discussion on the use of an Effective Field Theory (EFT) as a low energy…

High Energy Physics - Lattice · Physics 2014-05-08 Jonathan M M Hall

In this paper, U(3)$_L\times$ U(3)$_R$ chiral theory of mesons is extended to the leading order in quark mass expansion in order to evaluate the $\rho^0-\omega$ mixing. It is shown that the use of path integral method to integrate out the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dao-Neng Gao , Mu-Lin Yan

We propose a spectral quark model which can be applied to low energy hadronic physics. The approach is based on a generalization of the Lehmann representation of the quark propagator. We work at the one-quark-loop level. Electromagnetic and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrique Ruiz Arriola , Wojciech Broniowski

We study the chiral expansion of the baryon octet and decuplet masses in the isospin limit. It is illustrated that a chiral expansion of the one-loop contributions is rapidly converging up to quark masses that generously encompasses the…

High Energy Physics - Lattice · Physics 2019-07-31 M. F. M. Lutz , Yonggoo Heo , Xiao-Yu Guo

We compare the linear meson model and chiral perturbation theory in next to leading order in the quark mass expansion. In particular, we compute the couplings L_4--L_8 of chiral perturbation theory as functions of the parameters of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Dirk-U. Jungnickel , C. Wetterich

The influence of mesonic fluctuations on quantities in the Nambu-Jona-Lasinio model is examined in different approximation schemes: an expansion in powers of 1/N_c and an expansion up to one-meson loop in the effective action formalism. It…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Oertel

Many of the quantities of interest at the precision frontier in particle physics require a good understanding of the strong interaction at low energies. The present talk reviews the theoretical framework used in this context. In particular,…

High Energy Physics - Phenomenology · Physics 2015-11-04 H. Leutwyler