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Related papers: Master Formula Approach to $\gamma\gamma \to \pi\p…

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We report on recent results on the decay of the phi into pi^+ pi^- and phi radiative decays into pi^0 pi^0 gamma and pi^0 eta gamma, which require the consideration of the final state interaction of a pair of mesons in a region inaccessible…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Oset , S. Hirenzaki , E. Marco , J. A. Oller , J. R. Pelaez , H. Toki

Starting from the Chiral Perturbation Theory Lagrangian, but keeping different masses for the charged and neutral mesons, and using a previously developed non-perturbative unitary scheme that generates the lightest meson-meson resonances,…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Oller , E. Oset , J. R. Pelaez

The presently experimentally interesting form factor for the anomalous process gamma -> pi^+ pi^0 pi^- is calculated as the quark "box"-amplitude where the intermediate fermion loop is the one of constituent quarks with the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bojan Bistrovic , Dubravko Klabucar

We use one-loop chiral perturbation theory (ChPT) to compare lattice results for the K+ to pi+ pi0 decay amplitude with the experimental value. Three systematic effects: quenching, finite-volume effects, and the use of unphysical values of…

High Energy Physics - Lattice · Physics 2009-10-30 Maarten Golterman , Ka Chun Leung

We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called…

High Energy Physics - Lattice · Physics 2016-11-01 Michael Döring , Bin Hu , Maxim Mai

The analysis of the $\pi\gamma$ transition form factor provides severe constraints on the pion's wave function. This information is used to examine charmonium decays into two pions critically. It will be argued that the standard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter Kroll

A fit of the experimental data to the total cross section of the process \gamma\gamma->\pi^0\pi^0 in the energy region from 270 to 2250 MeV has been carried out using dispersion relations for the invariant amplitudes where the quadrupole…

Nuclear Theory · Physics 2008-11-26 L. V. Fil'kov , V. L. Kashevarov

We study the reaction $\pi^\pm p \to \pi^\pm \pi^+ n$ and $\pi^- p \to \pi^0 \pi^0 n$ in heavy-baryon chiral perturbation theory of chiral order three from threshold up to pion laboratory kinetic energies of 400 MeV. We find that the…

Nuclear Theory · Physics 2007-05-23 J. Zhang , N. Mobed , M. Benmerrouche

The main experimental works, where dipole polarizabilities of charged pions have been determined, are considered. Possible reasons for the differences between the experimental data are discussed. In particular, it is shown that the account…

High Energy Physics - Phenomenology · Physics 2018-06-20 L. V. Fil'kov , V. L. Kashevarov

pi-N and pi-pi interactions near threshold are uniquely sensitive to the chiral symmetry breaking part of the strong interaction. The pi-N sigma-term value with its implications for nucleon quark structure and the recent controversy…

High Energy Physics - Phenomenology · Physics 2015-06-25 D. Pocanic , E. Frlez

Combining large $N_C$ techniques and partial wave dispersion theory to analyze the $\pi\pi$ scattering, without relying on any explicit resonance lagrangian, some interesting results are derived: (a) a general KSRF relation including the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zhi-Hui Guo

The chiral expansion of the $\pi\pi$ amplitude to the order of two loops was expressed in terms of six independent parameters in a previous paper: four of these are shown here to satisfy sum rules. Their derivation, where crossing symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern , N. Fuchs

Three ways are compared of dealing with rescattering effects in $B^{\pm}\to K^0\pi^{\pm}$, in order to determine the weak phase $\gamma$ from these processes and $B^{\pm}\to K^{\pm}\pi^0$. We find that neglecting these contributions…

High Energy Physics - Phenomenology · Physics 2010-11-23 Michael Gronau , Dan Pirjol

A review on the requirements of chiral symmetry on effective quark models is presented. The connection between the pion Salpeter amplitude and the mass gap equation is discussed. Hadronic scattering, notably, $\pi\pi$ scattering is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. E. Ribeiro

In this work we construct the $\pi\pi$ scattering amplitude $T^0_0$ with regular analytical properties in the $s$ complex plane, which describes simultaneously the data on the $\pi\pi$ scattering, $\phi\to\pi^0\pi^0\gamma$ decay, and…

High Energy Physics - Phenomenology · Physics 2015-03-17 N. N. Achasov , A. V. Kiselev

This study presents a tree-level calculation of the scattering amplitude for the $lp\to lp\gamma$ (with a hard photon) process within the framework of Chiral Perturbation Theory. Our calculations, based on the $O(p^2)$ and $O(p^3)$…

High Energy Physics - Phenomenology · Physics 2026-02-13 Xu Wang , Kai-Ge Kang , Zhiguang Xiao , Han-Qing Zheng

We present the ingredients necessary for the determination of physical K->pi pi decay amplitudes for Delta I=3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also…

Nuclear Theory · Physics 2009-10-28 G. Carter , P. J. Ellis , S. Rudaz

We have calculated the decay amplitude for the process $K_{S}$ $\to$ $\gamma \gamma$ at one loop order in chiral perturbation theory. As a new improvement we have included the weak mass term which is only relevant for processes with…

High Energy Physics - Phenomenology · Physics 2009-07-20 Karim Ghorbani

Large momentum transfer reactions such as pion production represent the frontier of Chiral Perturbation Theory and must be understood before more complex reactions can be considered. Pion production is also interesting in its own right, one…

Nuclear Theory · Physics 2011-08-08 Daniel R. Bolton