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We extend 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 evaluated in the chiral…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Bissey , J. R. Cudell , J. Cugnon , J. P. Lansberg , P. Stassart

In view of ongoing experimental activities to determine the pion polarizabilities, we have started to recalculate the available two-loop expressions in the framework of chiral perturbation theory, because they have never been checked…

High Energy Physics - Phenomenology · Physics 2008-11-26 Juerg Gasser , Mikhail A. Ivanov , Mikko E. Sainio

A calculation for the one-loop pion vector form-factor in Resonance Chiral Theory is provided in this talk. The amplitude is computed up to next-to-leading order in 1/Nc and, by means of high-energy constraints, we are able to produce a…

High Energy Physics - Phenomenology · Physics 2011-02-01 J. J. Sanz-Cillero

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…

High Energy Physics - Phenomenology · Physics 2015-05-20 A. M. Gasparyan , M. F. M. Lutz

We present a calculation of the low energy constants describing the real and imaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$. Leading and next leading order chiral perturbation theory is used and its applicability…

High Energy Physics - Lattice · Physics 2010-01-21 Shu Li , Norman H. Christ

We show that a recent claim of huge kaon loop corrections to the electric dipole amplitude in neutral pion photoprodcution at threshold is incorrect. The difference between the two and three flavor chiral perturbation theory calculation is…

Nuclear Theory · Physics 2007-05-23 Sven Steininger , Ulf-G. Meißner

A simple method is used to extrapolate the form factor for the process gamma* gamma *--->pi^0 when two virtual photons produce a pi ^0 from the region of large spacelike photon virtualities to the experimentally accessible case when one of…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Nasrallah

I provide a brief, and therefore necessarily biased, review of the application of effective field theory to electromagnetic processes on the deuteron. Electron-deuteron scattering is discussed for virtual photon momenta up to 700 MeV, and…

Nuclear Theory · Physics 2009-11-06 Daniel R. Phillips

In this paper it is shown how the generating functional for Green's functions in relativistic quantum field theory and in thermal field theory can be evaluated in terms of a standard quantum mechanical path integral. With this calculational…

High Energy Physics - Theory · Physics 2011-07-19 D. G. C. McKeon , A. Rebhan

We calculate the one-photon loop radiative corrections to the charged pion-pair production process $\pi^-\gamma\to\pi^+\pi^-\pi^-$. In the low-energy region this reaction is governed by the chiral pion-pion interaction. The pertinent set of…

High Energy Physics - Phenomenology · Physics 2015-06-18 N. Kaiser , S. Petschauer

A calculation of the Dalitz decay in next-to-leading order in chiral perturbation theory of two flavour case extended by virtual photons is presented. The whole kinematic sector is covered and realistic experimental situation is discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Kampf , M. Knecht , J. Novotny

Recent attempts to detect the pion polarizability via analysis of $\gamma\gamma\rightarrow\pi\pi$ measurements are examined. The connection between calculations based on dispersion relations and on chiral perturbation theory is established…

High Energy Physics - Phenomenology · Physics 2011-07-19 John F. Donoghue , Barry R. Holstein

We derive a simplified representation for the pion mass to two loops in three-flavour chiral perturbation theory. For this purpose, we first determine the reduced expressions for the tensorial two-loop 2-point sunset integrals arising in…

High Energy Physics - Phenomenology · Physics 2009-01-06 Roland Kaiser

We present a calculation of pion photo- and electroproduction in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including order q^4. We fix the low-energy constants by fitting experimental data in all available…

Nuclear Theory · Physics 2015-06-18 Lothar Tiator , Stefan Scherer , Marius Hilt

We formulate a new power-counting scheme for a chiral effective field theory of nucleons, pions, and Deltas. This extends chiral perturbation theory into the Delta-resonance region. We calculate nucleon Compton scattering up to…

Nuclear Theory · Physics 2016-09-08 Vladimir Pascalutsa , Daniel R. Phillips

The complete renormalization of the generating functional for Green functions of quark currents between one--baryon states in three flavor heavy baryon chiral perturbation theory is performed to order q^3. As an example, we study the kaon…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Müller , Ulf-G. Meißner

After a general introduction to the structure of effective field theories, the main ingredients of chiral perturbation theory are reviewed. Applications include the light quark mass ratios and pion-pion scattering to two-loop accuracy. In…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gerhard Ecker

Using holographic models where chiral symmetry is broken through IR b.c.'s, we determine a novel set of relations between QCD matrix elements. In particular, we find that the amplitudes of the three processes pi pi->pi pi, gamma gamma->pi…

High Energy Physics - Phenomenology · Physics 2014-08-25 Pietro Colangelo , Juan Jose Sanz-Cillero , Fen Zuo

We report on our determination of the values of the one and two loop low energy constants appearing in the Chiral Perturbation Theory calculation of the pi-pi scattering amplitude. For this we use a precise sum rule determination of…

High Energy Physics - Phenomenology · Physics 2013-02-22 Guillermo Rios , Jenifer Nebreda , Jose R. Pelaez

The structure functions F_2 and F_1 of real photon at low virtualities are calculated in the framework of chiral perturbation theory (ChPT) in the zero and first order of ChPT. It is assumed that the virtuality of hard projectile photon Q^2…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. A. Shushpanov