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We discuss insights that may be drawn from our recent 2 flavour O(a)--improved Wilson quark simulations. We discuss the evidence of the onset of chiral logarithms in the pion decay constant. An overview is given of current extrapolation…

High Energy Physics - Lattice · Physics 2007-05-23 S. V. Wright

We first construct the effective chiral Lagrangians for the $1^{-+}$ exotic mesons. With the infrared regularization scheme, we derive the one-loop infrared singular chiral corrections to the $\pi_1(1600)$ mass explicitly. We investigate…

High Energy Physics - Phenomenology · Physics 2017-04-21 Bin Zhou , Zhi-Feng Sun , Xiang Liu , Shi-Lin Zhu

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

We review some recent theoretical results on rare kaon decays. Particular attention is devoted to establish the short distance (direct CP violating) contribution to K_L => \pi^0 e \bar{e}. This is achieved by a careful study of the long…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giancarlo D'Ambrosio

We calculate the one--loop corrections to the Kroll--Ruderman low--energy theorems for charged pion photoproduction in the framework of heavy baryon chiral perturbation theory. We predict the threshold S--wave multipole $E_{0+}$ to be…

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

We determine the values of the one- and two-loop low energy constants appearing in the SU(2) Chiral Perturbation Theory calculation of pion-pion scattering. For this we use a recent and precise sum rule determination of some scattering…

High Energy Physics - Phenomenology · Physics 2015-06-05 J. Nebreda , J. R. Pelaez , G. Rios

An overview of Chiral Perturbation Theory calculations in the mesonic sector at the two Loop level is given. Discussed in some detail are the partially quenched case relevant for lattice QCD, the general fitting procedures and $\pi\pi$,$\pi…

High Energy Physics - Phenomenology · Physics 2009-11-10 Johan Bijnens

We calculate the $O(p^6)$ corrections to the anomalous form factors appearing in $\pi^+$, $K^+ \to e^+ \nu \gamma,\ \mu^+\nu\gamma$ and $K_{l4}$ decays in Chiral Perturbation Theory. The relevant dimension $6$ terms of the lagrangian are…

High Energy Physics - Phenomenology · Physics 2009-10-22 Ll. Ametller , J. Bijnens , A. Bramon , F. Cornet

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 Arnold Roessl

Parameters of the effective chiral lagrangian (EChL) of orders $O(p^4)$ and $O(p^6)$ are extracted from low--energy behaviour of dual resonance models for $ \pi\pi$ and $\pi K$ scattering amplitudes. Dual resonance models are considered to…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. V. Polyakov , V. V. Vereshagin

The nonperturbative, Dyson-Schwinger equation approach to solving QCD provides a straightforward, microscopic description of dynamical chiral symmetry breaking and confinement. It is an ideal tool for the study of pion observables. This is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Craig D. Roberts

The pion scalar radius is given by $<r^2_S>=(6/\pi)\int_{4M^2_\pi}^\infty{\rm d}t \delta_S(t)/t^2$, with $\delta_S$ the phase of the scalar form factor. Below $\bar{K}K$ threshold, $\delta_S=\delta_0$, $\delta_0$ being the isoscalar, S-wave…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. J. Yndurain

The decay K_L -> pi0 e+ e- is being searched for as a signal of direct Delta S = 1 CP violation. We provide a thorough updating of the analysis of the three components of the decay: 1) Direct CP violation, 2) CP violation through the mass…

High Energy Physics - Phenomenology · Physics 2010-11-01 John F. Donoghue , Fabrizio Gabbiani

We calculate the chiral corrections to Weinberg's prediction for the S--wave $\pi N$ scattering lengths up--to--and--including order ${\cal O}(M_\pi^3)$ making use of heavy baryon chiral perturbation theory. For the isospin--odd scattering…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Bernard , N. Kaiser , Ulf-G. Meißner

We study the ratios R_{e/mu}^{(P)} = Gamma(P -> e nu [gamma])/Gamma(P -> mu nu [gamma]) (P=pi,K) in Chiral Perturbation Theory to order e^2 p^4. We complement the two-loop effective theory results with a matching calculation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vincenzo Cirigliano , Ignasi Rosell

The $\epsilon$-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the $\epsilon$-regime, as a function of the fermion mass. The microscopic…

High Energy Physics - Lattice · Physics 2020-01-01 Taro V. Brown , Maarten Golterman , Svend Krøjer , Yigal Shamir , K. Splittorff

Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the Quark-Level Linear $\sigma$ Model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses which…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. D. Scadron , F. Kleefeld , G. Rupp

We analyze long-distance contributions to the K --> pi pi amplitudes relevant for the Delta I = 1/2 selection rule in the framework of the 1/N_c expansion. We use a modified prescription for the identification of meson momenta in the chiral…

High Energy Physics - Phenomenology · Physics 2011-03-17 T. Hambye

We determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce Garden , Jochen Heitger , Rainer Sommer , Hartmut Wittig

The near-threshold n p -> d pi0 cross section is calculated in chiral perturbation theory to next-to-leading order in the expansion parameter sqrt{M m_pi}/Lambda_chi. At this order irreducible pion loops contribute to the relevant…

Nuclear Theory · Physics 2008-11-26 A. Gardestig , D. R. Phillips , Ch. Elster