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We discuss the extended on-mass-shell scheme for manifestly Lorentz-invariant baryon chiral perturbation theory. We present a calculation of pion photo- and electroproduction up to and including order $q^4$. The low-energy constants have…

High Energy Physics - Phenomenology · Physics 2016-06-22 M. Hilt , B. C. Lehnhart , S. Scherer , L. Tiator

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 pion-production reactions $\pi^+ A \to \pi^+\pi^{\pm} A'$ were studied on $^{2}H$, $^{12}C$, $^{40}Ca$, and $^{208}Pb$ nuclei at an incident pion energy of $T_{\pi^{+}}$=283 MeV. Pions were detected in coincidence using the CHAOS…

Nuclear Experiment · Physics 2008-11-26 F. Bonutti , P. Camerini , E. Fragiacomo , N. Grion , R. Rui

We study the production amplitude for the reaction $NN\to NN\pi$ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell…

Nuclear Theory · Physics 2008-11-26 V. Lensky , J. Haidenbauer , C. Hanhart , V. Baru , A. Kudryavtsev , U. -G. Meißner

Dai and Pennington have performed a comprehensive analysis of essentially all pion and kaon pair production data from two-photon collisions below 1.5 GeV, including all high statistics results from Belle, as well as the older data from Mark…

High Energy Physics - Phenomenology · Physics 2025-08-22 S. P. Klevansky , R. H. Lemmer , Alireza Beygi

The COMPASS collaboration at CERN has investigated the \pi^- \gamma -> \pi^- \pi^- \pi^+ reaction at center-of-momentum energy below five pion masses, sqrt(s) < 5 m(\pi), embedded in the Primakoff reaction of 190 GeV pions impinging on a…

High Energy Physics - Experiment · Physics 2015-06-03 M. G. Alekseev , V. Yu. Alexakhin , Yu. Alexandrov , G. D. Alexeev , A. Amoroso , A. Austregesilo , B. Badelek , F. Balestra , J. Barth , G. Baum , Y. Bedfer , J. Bernhard , R. Bertini , M. Bettinelli , K. Bicker , R. Birsa , J. Bisplinghoff , P. Bordalo , F. Bradamante , A. Bravar , A. Bressan , E. Burtin , D. Chaberny , M. Chiosso , S. U. Chung , A. Cicuttin , M. L. Crespo , S. Dalla Torre , S. Das , S. S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , V. Duic , W. Dünnweber , M. Dziewiecki , A. Efremov , P. D. Eversheim , W. Eyrich , M. Faessler , A. Ferrero , A. Filin , M. Finger , M. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , R. Garfagnini , F. Gautheron , O. P. Gavrichtchouk , R. Gazda , S. Gerassimov , R. Geyer , M. Giorgi , I. Gnesi , B. Gobbo , S. Goertz , S. Grabm\" uller , A. Grasso , B. Grube , R. Gushterski , A. Guskov , F. Haas , D. von Harrach , T. Hasegawa , F. H. Heinsius , F. Herrmann , C. Hess , F. Hinterberger , N. Horikawa , Ch. Höppner , N. d'Hose , S. Huber , S. Ishimoto , O. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , P. Jasinski , G. Jegou , R. Joosten , E. Kabuss , D. Kang , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , S. Koblitz , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Königsmann , I. Konorov , V. F. Konstantinov , A. Korzenev , A. M. Kotzinian , O. Kouznetsov , M. Krämer , Z. V. Kroumchtein , F. Kunne , K. Kurek , L. Lauser , A. A. Lednev , A. Lehmann , S. Levorato , J. Lichtenstadt , A. Maggiora , A. Magnon , N. Makke , G. K. Mallot , A. Mann , C. Marchand , A. Martin , J. Marzec , F. Massmann , T. Matsuda , W. Meyer , T. Michigami , Yu. V. Mikhailov , M. A. Moinester , A. Morreale , A. Mutter , A. Nagaytsev , T. Nagel , F. Nerling , S. Neubert , D. Neyret , V. I. Nikolaenko , W. -D. Nowak , A. S. Nunes , A. G. Olshevsky , M. Ostrick , A. Padee , R. Panknin , D. Panzieri , B. Parsamyan , S. Paul , E. Perevalova , G. Pesaro , D. V. Peshekhonov , G. Piragino , S. Platchkov , J. Pochodzalla , J. Polak , V. A. Polyakov , G. Pontecorvo , J. Pretz , C. Quintans , J. -F. Rajotte , S. Ramos , V. Rapatsky , G. Reicherz , A. Richter , E. Rocco , E. Rondio , D. I. Ryabchikov , V. D. Samoylenko , A. Sandacz , H. Santos , M. G. Sapozhnikov , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , C. Schill , T. Schlüter , L. Schmitt , S. Schopferer , W. Schröder , O. Yu. Shevchenko , H. -W. Siebert , L. Silva , L. Sinha , A. N. Sissakian , M. Slunecka , G. I. Smirnov , S. Sosio , F. Sozzi , A. Srnka , M. Stolarski , M. Sulc , R. Sulej , P. Sznajder , S. Takekawa , S. Tessaro , F. Tessarotto , A. Teufel , L. G. Tkatchev , S. Uhl , I. Uman , M. Vandenbroucke , M. Virius , N. V. Vlassov , R. Windmolders , W. Wiślicki , H. Wollny , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , N. Zhuravlev , A. Zvyagin

In the framework of heavy baryon chiral perturbation theory, we give thIn the framework of heavy baryon chiral perturbation theory, we give the chiral expansion for the $\pi N \to \pi \pi N$ threshold amplitudes $D_1$ and $D_2$ to quadratic…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , N. Kaiser , Ulf-G. Meißner

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 analyze the new threshold data for neutral pion photoproduction off protons in the framework of heavy baryon chiral perturbation theory. We show that large loop corrections are needed to understand the S--wave multipole $E_{0+}$ and that…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Bernard , N. Kaiser , Ulf-G. Meißner

The differential cross section for the process $\gamma \gamma \to \pi^0 \pi^0$ has been measured in the kinematic range 0.6 GeV $< W < 4.1$ GeV, $|\cos \theta^*|<0.8$ in energy and pion scattering angle, respectively, in the $\gamma\gamma$…

High Energy Physics - Experiment · Physics 2008-10-03 Belle Collaboration , I. Adachi

The $\gamma\gamma\to\pi\pi$ reactions are discussed. To describe those processes, we include dipion continuum, resonances, high-energy pion-pion rescatterings, $\rho$ meson exchange and pQCD Brodsky-Lepage mechanisms. The cross section for…

High Energy Physics - Phenomenology · Physics 2017-08-23 Mariola Klusek-Gawenda , Antoni Szczurek

Chiral perturbation theory is the effective field theory of the strong interactions at low energies. We will give a short introduction to chiral perturbation theory for mesons and will discuss, as an example, the electromagnetic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefan Scherer

We present technical details of the evaluation of the elastic pi-pi scattering amplitude to two loops in chiral perturbation theory. In particular, we elaborate on the renormalization procedure at the two-loop order and on the evaluation of…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

A confined quark model study in a couple of chirally anomalous processes is presented in comparison with effective meson Lagrangian approaches of various kind. The processes considered are \pi^0 \to \gamma \gamma and \gamma \to \pi^+ \pi^-…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. A. Ivanov , T. Mizutani

We focus on a powerful aspect of chiral perturbation theory (chi PT) which provides us with a ``bridge'' over different reactions. For this purpose, we study a contact operator which contributes p-wave pi-production and several weak…

Nuclear Theory · Physics 2008-11-26 Satoshi. X. Nakamura

We investigate threshold pion photoproduction in the framework of heavy baryon chiral perturbation theory. We give the expansion of the electric dipole amplitude $E_{0+}$ to three orders in $\mu$, the ratio of the pion to nucleon mass, and…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Bernard , N. Kaiser , Ulf-G. Meißner

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

We give the amplitude for $\gamma\gamma \rightarrow \pi^+\pi^-\pi^0$ in leading order chiral perturbation theory. For the case of real photons we calculate the total and differential cross section. Furthermore, we give the dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. W. Bos , Y. C. Lin , H. H. Shih

Chiral perturbation theory, the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom, is based on effective Lagrangian techniques and is an expansion in the powers of the external momenta and…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Ananthanarayan , P. Büttiker

We discuss the results of a systematic calculation of the next-to-next-to-leading order amplitude for the pp -> pp\pi^0 S-wave production at the threshold in heavy-baryon chiral perturbation theory. We find six new diagrams, two of which…

Nuclear Theory · Physics 2008-11-26 V. Dmitrašinović , K. Kubodera , F. Myhrer , T. Sato