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The pattern of chiral symmetry breaking is exploited to compute vector and axial-vector pion matrix elements in a uniform magnetic field. Our results are model independent, and thereby constitute low-energy theorems that must be obeyed by…

High Energy Physics - Phenomenology · Physics 2024-06-04 Prabal Adhikari , Brian C. Tiburzi

The total cross section for the pp --> pp $\pi^0$ reaction at energies close to threshold is calculated within the frame of a chiral perturbation theory. The tree and one loop diagrams up to chiral order D=2 contributions are taken into…

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

We describe a rearrangement of the standard expansion of the symmetry breaking part of the QCD effective Lagrangian that includes into each order additional terms which in the standard chiral perturbation theory ($\chi$PT) are relegated to…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Stern , H. Sazdjian , N. H. Fuchs

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in…

High Energy Physics - Lattice · Physics 2018-04-18 Johan Bijnens

We review our recent study of the pion mass dependence of the rho and sigma resonances generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM) which was modified to properly account for the…

High Energy Physics - Phenomenology · Physics 2009-05-22 Guillermo Ríos , Ángel Gómez Nicola , Christoph Hanhart , José Ramón Peláez

We study the unpolarized fragmentation functions and parton distribution functions of the pion employing the nonlocal chiral quark model. This model manifests the nonlocal interactions between the quarks and pseudoscalar mesons in the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Seung-il Nam , Chung-Wen Kao

We propose an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach. We obtain a stable expansion for the x-evolution function chi(M) near M=0 by including in it a sequence…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

We study the unknown coupling constants that appear at order $p^4$ in the Chiral Perturbation Theory analysis of $K \to \pi \gamma^* \to \pi l^+ l^-$, $K^{+-} \to \pi^{+-} \gamma \gamma$ and $K \to \pi \pi \gamma$ decays. To that end, we…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Bruno , J. Prades

We extrapolate the first moments of the generalized parton distributions using heavy baryon chiral perturbation theory. The calculation is based on the one loop level with the finite range regularization. The description of the lattice data…

High Energy Physics - Phenomenology · Physics 2014-11-20 P. Wang , A. W. Thomas

We first review the current algebra - PCAC approach to nonleptonic octet baryon 14 weak decay B (\to) (B^{\prime})(\pi) amplitudes. The needed four parameters are independently determined by (\Omega \to \Xi \pi),(\Lambda K) and (\Xi ^{-}\to…

High Energy Physics - Phenomenology · Physics 2016-08-15 M. D. Scadron , D. Tadić

We consider the $\pi\pi$ scattering amplitude obtained by Colangelo, Gasser and Leutwyler (CGL), using dispersion relations and chiral perturbation theory to two loops. We point out that the input used by CGL for energies above 1.42 GeV is…

High Energy Physics - Phenomenology · Physics 2009-11-10 F. J. Yndurain

We derive expression for the large b_perp asymptotic of the 3D parton distributions q(x,b_perp) in the pion. The asymptotic depends exclusively on the mass scales F_pi and m_pi. Therefore it provides us with a nice example of a strict…

High Energy Physics - Phenomenology · Physics 2011-05-27 I. A. Perevalova , M. V. Polyakov , A. N. Vall , A. A. Vladimirov

The non-leptonic hyperon decays are analyzed up to one-loop order including all counterterms in the framework of heavy baryon chiral perturbation theory. We use the exchange of the spin-3/2 decuplet resonances as an indication of which…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. Borasoy , B. R. Holstein

Calculations of eta->pi^0 pi^0 gamma gamma decay in generalized chiral perturbation theory are presented. Tree level and some of next-to-leading corrections are involved. Sensitivity to the deviations from the standard chiral perturbation…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Kolesar , J. Novotny

Resummation of the chiral expansion is necessary to make accurate contact with current lattice simulation results of full QCD. Resummation techniques including relativistic formulations of chiral effective field theory and finite-range…

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

We present a calculation of valence double parton distributions of the pion in the framework of chiral quark models. The result obtained at the low-energy quark model scale is particularly simple, where in the chiral limit a factorized form…

High Energy Physics - Phenomenology · Physics 2020-06-18 Wojciech Broniowski , Enrique Ruiz Arriola

The process eta -> pi0 pi0 gamma gamma is discussed in Chiral Perturbation Theory (ChPT) extending two recent analyses. Special attention is devoted to one-loop corrections, eta-eta' mixing effects and vector-meson dominance of ChPT…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ll. Ametller , J. Bijnens , A. Bramon , P. Talavera

We apply hard pion Chiral Perturbation Theory to charmonium decays to $\pi\pi$, $KK$ and $\eta\eta$. We first discuss why we expect to be able to provide results for the chiral logarithms in $\chi_{c0}$ and $\chi_{c2}$ decays to two…

High Energy Physics - Phenomenology · Physics 2015-05-30 Johan Bijnens , Ilaria Jemos

The $\eta \to \pi^+ \pi^- \pi^0 \gamma$ decay is discussed in the general context of Chiral Perturbation Theory (ChPT), assuming that the low--energy constants (counter--terms) are saturated by vector-meson resonances. The $\eta \to \pi^+…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bramon , P. Gosdzinsky , S. Tortosa

We review two manifestations of chiral symmetry breaking in the pion sector. First, we examine the $\pi\pi$ scattering amplitude at threshold, which is completely determined by the chiral symmetry breaking part of the strong interaction,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dinko Pocanic
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