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We complete the analysis of twist-two generalized parton distributions of the nucleon in one-loop order of heavy-baryon chiral perturbation theory. Extending our previous study of the chiral-even isosinglet sector, we give results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Diehl , A. Manashov , A. Schafer

We demonstrate that in the region of Bjorken x ~m_\pi^2/(4\pi F_\pi)^2 and/or x ~|t|/(4\pi F_\pi)^2 the standard ChPT for the pion GPDs fails and one must perform all order resummation of ChPT. We perform such resummation in the large-N…

High Energy Physics - Phenomenology · Physics 2009-11-13 N. Kivel , M. V. Polyakov , A. Vladimirov

Based on the chiral perturbation theory, we investigate the low-energy dynamics of nucleon parton distributions. We show that in different regions of the momentum fraction $x$ the chiral expansion is significantly different. For nucleon…

High Energy Physics - Phenomenology · Physics 2014-04-08 A. Moiseeva , A. A. Vladimirov

I consider some selected topics in chiral perturbation theory (CHPT) as probed at colliders such as DA$\Phi$NE. Emphasis is put on processes involving pions in the isospin zero S-wave which require multi-loop calculations. These include the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Ulf-G. Meißner

We generalise the reconstruction theorem of Stern, Sazdjian, and Fuchs based on the dispersion relations to the case of the (2 -> 2) scattering of all the pseudoscalar octet mesons (pi, K, eta). We formulate it in a general way and include…

High Energy Physics - Phenomenology · Physics 2008-12-30 M. Zdrahal , J. Novotny

A reanalysis of the radiative pion decay together with the calculation of the radiative corrections within chiral perturbation theory (CHPT) is performed. The amplitude of this decay contains an inner Bremsstrahlung contribution and a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rene Unterdorfer , Hannes Pichl

We calculate the width of the delta resonance at leading two-loop order in baryon chiral perturbation theory. This gives a correlation between the leading pion-nucleon-delta and pion-delta couplings, which is relevant for the analysis of…

High Energy Physics - Phenomenology · Physics 2016-10-19 Jambul Gegelia , Ulf-G. Meißner , Dmitrij Siemens , De-Liang Yao

Heavy-baryon chiral perturbation theory (ChPT) at one loop fails in relating the pion-nucleon amplitude in the physical region and for subthreshold kinematics due to loop effects enhanced by large low-energy constants. Studying the chiral…

Nuclear Theory · Physics 2017-05-01 D. Siemens , J. Ruiz de Elvira , E. Epelbaum , M. Hoferichter , H. Krebs , B. Kubis , U. -G. Meißner

Explicit expressions for pion correlators are derived in position-space, employing Chiral Perturbation Theory (ChPT). Resonance exchange contributions are included to test the range of applicability of the leading-order ChPT expressions.…

High Energy Physics - Phenomenology · Physics 2016-12-26 Peter C. Bruns

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit…

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

In a small window of phase space, chiral perturbation theory can be used to make standard model predictions for tau decays into two and three pions. For $\tau \to 2\pi \nu_\tau$, we give the analytical result for the relevant form factor…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Colangelo , M. Finkemeier , R. Urech

Generalized parton distributions provide a unified parameterization of hadron structure and allow one to combine information from many different observables. Lattice QCD calculations already provide important input to determine these…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Diehl , A. Manashov , A. Schafer

We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , P. Stassart

Chiral perturbation theory in the anomaly sector for $N_f=2$ is extended to include dynamical photons, thereby allowing a complete treatment of isospin breaking. A minimal set of independent chiral lagrangian terms is determined and the…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Ananthanarayan , B. Moussallam

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gilberto Colangelo

We review small $x$ contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido Altarelli , Richard D. Ball , Stefano Forte

We evaluate the amplitude for $\gamma \gamma \rightarrow \pi^0 \pi^0$ to two loops in chiral perturbation theory. The three new counterterms which enter at this order in the low-energy expansion are estimated with resonance saturation. We…

High Energy Physics - Phenomenology · Physics 2011-07-19 S. Bellucci , J. Gasser , M. E. Sainio

Parton distributions for the pion are studied in a chiral quark model characterized by a quark propagator for which a spectral representation is assumed. Electromagnetic and chiral symmetry constraints are imposed through the relevant…

High Energy Physics - Phenomenology · Physics 2017-08-23 E. Ruiz Arriola

We analyze the moments of the isosinglet generalized parton distributions H, E, H-tilde, E-tilde of the nucleon in one-loop order of heavy-baryon chiral perturbation theory. We discuss in detail the construction of the operators in the…

High Energy Physics - Phenomenology · Physics 2020-06-19 M. Diehl , A. Manashov , A. Schafer

We computed the leading non-analytic chiral corrections to the generalized parton distributions (GPDs) of the pion and to the two-pion distribution amplitudes. This allows us to obtain the corresponding corrections for the hard exclusive…

High Energy Physics - Phenomenology · Physics 2009-11-07 N. Kivel , M. V. Polyakov
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