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We compute finite-volume corrections to nucleon matrix elements of the axial-vector current. We show that knowledge of this finite-volume dependence --as well as that of the nucleon mass-- obtained using lattice QCD will allow a clean…

High Energy Physics - Phenomenology · Physics 2014-11-17 Silas R. Beane , Martin J. Savage

We present an analysis of $13$ observables in Compton scattering on the proton. Cross sections, asymmetries with polarised beam and/or targets, and polarisation-transfer observables are investigated for energies up to the $\Delta(1232)$…

Nuclear Theory · Physics 2018-04-04 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips

Using twist 3 contributions and the relations, which emanate from the QCD equations of motion, we derive the gauge invariant amplitude for the deeply virtual Compton scattering (DVCS) off hadron with an arbitrary spin. We emphasize that our…

High Energy Physics - Phenomenology · Physics 2015-06-03 I. V. Anikin , R. S. Pasechnik , B. Pire , O. V. Teryaev

We study the deeply virtual Compton scattering off a spin-one particle, which is exemplified by the case of coherent scattering on a deuteron target. We discuss the role of twist three contributions for restoring the QED gauge invariance of…

High Energy Physics - Phenomenology · Physics 2011-05-25 I. V. Anikin , R. S. Pasechnik , B. Pire , O. V. Teryaev

We use lattice QCD calculations of the finite-volume spectra of systems of two and three mesons to determine, for the first time, three-particle scattering amplitudes with physical quark masses. Our results are for combinations of $\pi^+$…

We present the results of a systematic leading order calculation of hyperon Compton scattering and extract the forward spin polarizability gamma0 of hyperons within the framework of SU(3) heavy baryon chiral perturbation theory (HBChPT).…

High Energy Physics - Phenomenology · Physics 2011-10-20 K. B. Vijaya Kumar , Amand Faessler , Thomas Gutsche , Barry R. Holstein , Valery E. Lyubovitskij

We report a next-to-leading-order (NLO) chiral perturbation theory calculation of the neutron-proton scattering cross section in the ${}^1S_0$ channel using a cut-off regularization. The inclusion of two-pion exchanges in the irreducible…

Nuclear Theory · Physics 2014-11-18 C. H. Hyun , T. -S. Park , D. -P. Min

We study the chiral loop corrections to the generalized Gerasimov-Drell-Hearn sum rule of the nucleon for finite photon virtuality in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. We perform a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Véronique Bernard , Thomas R. Hemmert , Ulf-G. Meißner

We perform a study of the doubly virtual Compton scattering off a spinless target gamma* P -> gamma* P' within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance…

High Energy Physics - Phenomenology · Physics 2010-12-16 C. Marquet , C. Roiesnel , S. Wallon

We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are…

Nuclear Theory · Physics 2020-03-18 X. -L. Ren , E. Epelbaum , J. Gegelia

A systematic derivation is presented of the twist-2 anomalous dimensions of the general quark and gluon light-ray operators in the generalized Bjorken region in leading order both for unpolarized and polarized scattering. Various…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , B. Geyer , D. Robaschik

We compute spin-flip cross section for graviton photoproduction on a spin-1/2 target of finite mass. Using this tree-level result, we find one-loop graviton correction to the spin-flip low-energy forward Compton scattering amplitude by…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan

We extend the analysis of the deeply virtual Compton scattering process to the weak interaction sector in the generalized Bjorken limit. The virtual Compton scattering amplitudes for the weak neutral and charged currents are calculated at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Psaker , W. Melnitchouk , A. V. Radyushkin

We calculate Compton scattering off an elementary spin 3/2 particle in a recently proposed framework for the description of elementary high spin fields based on the projection onto eigen-subspaces of the Casimir operators of the Poincare…

High Energy Physics - Theory · Physics 2009-09-24 E. G. Delgado-Acosta , M. Napsuciale

We present a calculation of the fourth-order (NLO) contribution to spin-dependent Compton scattering in heavy-baryon chiral perturbation theory, and we give results for the four spin polarisabilities. No low-energy constants, except for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. B. Vijaya Kumar , Judith A. McGovern , Michael C. Birse

For resonances decaying in a finite volume, the simple identification of state and eigenvalue is lost. The extraction of the scattering amplitude is a major challenge as we demonstrate by extrapolating the physical S_{11} amplitude of…

High Energy Physics - Lattice · Physics 2015-06-15 Michael Döring , Maxim Mai , Ulf-G. Meißner

The finite-volume nature of lattice QCD entails a variety of effects that must be handled in the process of performing chiral extrapolations. Since the pion cloud that surrounds hadrons becomes distorted in a finite volume, hadronic…

High Energy Physics - Lattice · Physics 2013-07-11 J. M. M. Hall , D. B. Leinweber , B. J. Owen , R. D. Young

One of the more important systematic effects affecting lattice computations of the hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon, $a_\mu^{\rm HVP}$, is the distortion due to a finite spatial volume.…

High Energy Physics - Lattice · Physics 2020-11-25 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all…

High Energy Physics - Theory · Physics 2024-12-30 Gang Chen , Tianheng Wang

Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kumericki , D. Müller , K. Passek-Kumericki
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