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An explicitly crossing-symmetric decomposition of the pion-pion scattering amplitudes into low- and high-energy components is established. The high-energy components are entirely determined by absorptive parts at high energies. With the…

高能物理 - 唯象学 · 物理学 2007-05-23 G. Wanders

The cross section for $\gamma\gamma\to\pi^0\pi^0$ and the pion polarizabilities are computed, within generalized chiral perturbation theory, in the full one loop approximation, {\it i.e.} up to and including order $O({p^5})$. The result…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Knecht , B. Moussallam , J. Stern

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 $O(p^3)$…

高能物理 - 唯象学 · 物理学 2026-02-13 Xu Wang , Kai-Ge Kang , Zhiguang Xiao , Han-Qing Zheng

A brief introduction to the low-energy effective field theory of the standard model, chiral perturbation theory, is presented.

高能物理 - 唯象学 · 物理学 2007-05-23 Bastian Kubis

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to…

高能物理 - 唯象学 · 物理学 2009-10-31 Arnold Roessl

A brief introduction to the subject of chiral perturbation theory ($\chi$pt) is given, including a discussion of effective field theory and application to the upcoming Bates virtual Compton scattering measurement.

高能物理 - 唯象学 · 物理学 2010-11-03 Barry R. Holstein

I discuss recent progress in our understanding of the pi pi scattering amplitude at low energy thanks to the combined use of chiral perturbation theory and dispersion relations. I also comment on the criticism raised by Pelaez and Yndurain…

高能物理 - 唯象学 · 物理学 2009-11-11 Gilberto Colangelo

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

高能物理 - 格点 · 物理学 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

Pion-pion scattering amplitude obtained from one-loop Chiral Perturbation Theory (ChPT) is crossing symmetric, however the corresponding partial-wave amplitudes do not respect exact unitarity relation. There are different approaches to get…

高能物理 - 唯象学 · 物理学 2007-05-23 Isabela P. Cavalcante , J. Sá Borges

A detailed analysis to the [1,2] Pad\'e approximation to the $\pi\pi$ scattering 2--loop amplitudes in chiral perturbation theory is made.

高能物理 - 唯象学 · 物理学 2015-06-25 Guang-You Qin , W. Z. Deng , Z. G. Xiao , H. Q. Zheng

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^+…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Bramon , P. Gosdzinsky , S. Tortosa

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…

高能物理 - 唯象学 · 物理学 2009-11-10 F. J. Yndurain

Near threshold pion production experiments have been recently carried out and used to extract S--wave $\pi\pi$ scattering lengths. We emphasize here that at present these processes are related only at the tree level (and its first…

高能物理 - 唯象学 · 物理学 2014-11-17 M. G. Olsson , Ulf-G. Meißner , N. Kaiser , V. Bernard

We report on a novel scheme based on the chiral Lagrangian. It is used to analyze pion-nucleon scattering, pion photoproduction, and nucleon Compton scattering. Subthreshold partial-wave amplitudes are calculated in chiral perturbation…

高能物理 - 唯象学 · 物理学 2015-05-20 A. M. Gasparyan , M. F. M. Lutz

I propose a prescription for separating the high- and low-energy contributions in effective field theories. This prescription allows a relativistic treatment of matter fields in chiral perturbation theory while the power counting remains…

高能物理 - 唯象学 · 物理学 2008-02-03 Hua-Bin Tang

The inverse amplitude method is analysed to two-loop order in the chiral expansion in the case of $\pi\pi$ scattering and the pion form factors. The analysis is mainly restricted to the elastic approximation but the possible extension to…

高能物理 - 唯象学 · 物理学 2014-11-17 Torben Hannah

We consider the rare decay $\eta\to\pi^0\pi^0\gamma\gamma$ and calculate the non-resonant contribution to the amplitude to one loop in Chiral Perturbation Theory. We display our result as both a diphoton energy spectrum and a partial decay…

高能物理 - 唯象学 · 物理学 2009-10-28 S. Bellucci , G. Isidori

Effective Field Theories (EFTs) constructed as derivative expansions in powers of momentum, in the spirit of Chiral Perturbation Theory (ChPT), are a controllable approximation to strong dynamics as long as the energy of the interacting…

高能物理 - 唯象学 · 物理学 2021-08-11 Alexandre Salas-Bernárdez , Felipe J. Llanes-Estrada , Juan Escudero-Pedrosa , Jose Antonio Oller

Recent progress in the description of the properties of hadronic atoms on the basis of non-relativistic effective Lagrangian approach and Chiral Perturbation Theory (ChPT) is reported. For the case of the pi(+)pi(-) atom decay, the problem…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Rusetsky

I briefly review the current status of chiral perturbation theory in the meson sector. Emphasis is given on the quest for higher precision. I discuss two examples: one where it is difficult to make a good prediction (K_L -> pi^0 gamma…

高能物理 - 唯象学 · 物理学 2007-05-23 Gilberto Colangelo