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Related papers: Finite volume corrections to forward Compton scatt…

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The forward doubly-virtual Compton scattering (VVCS) off the nucleon contains a wealth of information on nucleon structure, relevant to the calculation of the two-photon-exchange effects in atomic spectroscopy and electron scattering. We…

High Energy Physics - Phenomenology · Physics 2020-07-15 Jose Manuel Alarcón , Franziska Hagelstein , Vadim Lensky , Vladimir Pascalutsa

In this paper we calculate the full one-loop finite volume corrections to the quantities $< x >_{u\pm d}$ within the framework of two-flavor baryon chiral perturbation theory and show estimates of these effects for the leading one-loop…

High Energy Physics - Lattice · Physics 2015-06-22 Ludwig Greil , Philipp Wein , Peter C. Bruns , Andreas Schäfer

We carry out the first complete calculation of kinematic power corrections ~t/Q^2 and ~m^2/Q^2 to the helicity amplitudes of deeply virtual Compton scattering. This result removes an important source of uncertainties in the QCD predictions…

High Energy Physics - Phenomenology · Physics 2014-10-21 V. M. Braun , A. N. Manashov , B. Pirnay

In recent work, Hill and Paz apply the operator product expansion to forward doubly virtual Compton scattering. The resulting large-$Q^2$ form of the amplitude $W_1(0,Q^2)$ is compatible with the one we obtain by extrapolation of low-$Q^2$…

High Energy Physics - Phenomenology · Physics 2018-09-12 Michael C. Birse , Judith A. McGovern

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

High Energy Physics - Lattice · Physics 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

We compute the cross section for leptoproduction of the real photon off the nucleon, which is sensitive to the deeply virtual Compton scattering amplitude with power accuracy. Our considerations go beyond the leading twist and involve the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Belitsky , D. Müller , A. Kirchner

Compton scattering on the deuteron is studied in the framework of baryon chiral perturbation theory to third order in small momenta, for photon energies of order the pion mass. The scattering amplitude is a sum of one- and two-nucleon…

Nuclear Theory · Physics 2017-08-23 M. Malheiro , S. R. Beane , D. R. Phillips , U. van Kolck

Manifestly Lorentz-invariant baryon chiral perturbation theory is used to calculate the radiative correction of low energy elastic lepton proton scatterings. Corrections of differential cross section and charge asymmetry are given at chiral…

High Energy Physics - Phenomenology · Physics 2022-05-16 Xiong-Hui Cao , Qu-Zhi Li , Han-Qing Zheng

I give a summary of recent results on nucleon polarizabilities, with emphasis on chiral perturbation theory. The predictive calculations of Compton scattering off the nucleon are compared to recent empirical determinations and lattice QCD…

Nuclear Theory · Physics 2020-10-14 Franziska Hagelstein

In this dissertation we develop a theoretical framework in the context of perturbative QuantumChromoDynamics (pQCD) for studying non-forward scattering processes. In particular, we investigate a non-forward unequal mass virtual Compton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhang Chen

We recalculated pion virtual Compton scattering in perturbative QCD in this paper. Our calculation avoids some deficiencies in existing literatures, and treats real Compton scattering as a limit case in which the mass of the virtual photon…

High Energy Physics - Phenomenology · Physics 2015-06-25 Ding-fang Zeng , Bo-qiang Ma

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon…

Nuclear Theory · Physics 2009-04-17 Vadim Lensky , Vladimir Pascalutsa

In this work, we extend and apply effective field theory techniques to systematically understand a subset of lattice artifacts which pollute the lattice correlation functions for a few processes of physical interest. Where possible, we…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Walker-Loud

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In…

Nuclear Theory · Physics 2009-11-06 S. Kondratyuk , O. Scholten

We extract the next-to-next-to-leading order results for spin-flip generalized polarizabilities (GPs) of the nucleon from the spin-dependent amplitudes for virtual Compton scattering (VCS) at ${\cal O}(p^4)$ in heavy baryon chiral…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chung-Wen Kao , Barbara Pasquini , Marc Vanderhaeghen

The classical scattering of spinning objects is well described by the spinor-helicity formalism for heavy particles. Using these variables, we derive spurious-pole-free, all-spin opposite-helicity Compton amplitudes (factorizing on physical…

High Energy Physics - Theory · Physics 2022-03-30 Rafael Aoude , Kays Haddad , Andreas Helset

We study the effect of a finite volume for pion-pion scattering within Chiral Perturbation Theory (ChPT) and the Inverse Amplitude Method (IAM) in a $L^3$ box (rest frame). Our full ChPT calculation takes into account the discretization not…

High Energy Physics - Lattice · Physics 2026-01-13 A. Gómez Nicola , R. Molina , Julián A. Sánchez

In this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at $m_\pi = 236$ MeV, for the isotriplet $\pi\pi$…

Nuclear Theory · Physics 2016-06-22 Daniel R. Bolton , Raúl A. Briceño , David J. Wilson

As a guideline for future experiments to extract the four (leading) spin polarizabilities of the nucleon, we have constructed the forward amplitude for polarized Compton scattering by dispersion integrals. These integrals have been…

High Energy Physics - Phenomenology · Physics 2010-05-28 B. Pasquini , P. Pedroni , D. Drechsel