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I discuss recent developments in the determination of parton distributions from global fits. I concentrate on the errors associated with these parton distributions and with the physical quantities which are determined in terms of them. I…

高能物理 - 唯象学 · 物理学 2007-05-23 R. S. Thorne

A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available…

数据分析、统计与概率 · 物理学 2022-03-01 K. Gellerstedt , J. Sjölin

Off-forward structure functions of the pion are investigated in twist-two and twist-three approximation. A simple model is used for the pion, which allows to introduce finite size effects, while preserving gauge invariance. Results for the…

高能物理 - 唯象学 · 物理学 2009-11-10 F. Bissey , J. R. Cudell , J. Cugnon , J. P. Lansberg , P. Stassart

A new evaluation of the universal $\pi\pi$ scattering length relation is used to extract the $\pi\pi$ $s$-wave scattering lengths from threshold pion production data. Previous work has shown that the chiral perturbation series relating…

高能物理 - 唯象学 · 物理学 2009-10-30 M. G. Olsson

Low-energy Compton scattering off the proton is used for determination of the proton polarizabilities. However, the present empirical determinations rely heavily on the theoretical description(s) of the experimental cross sections in terms…

核理论 · 物理学 2018-05-21 Nadiia Krupina , Vadim Lensky , Vladimir Pascalutsa

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

高能物理 - 唯象学 · 物理学 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

Starting from hyperbolic dispersion relations, we derive a system of Roy--Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the…

高能物理 - 唯象学 · 物理学 2011-09-27 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

We present a dispersive analysis of the decay amplitude for $\eta'\to\eta\pi\pi$ that is based on the fundamental principles of analyticity and unitarity. In this framework, final-state interactions are fully taken into account. Our…

高能物理 - 唯象学 · 物理学 2017-07-25 Tobias Isken , Bastian Kubis , Sebastian P. Schneider , Peter Stoffer

I draw attention to a recent breakthrough in the field of low energy pion physics: the consequences of the hidden symmetry of the QCD Hamiltonian have successfully been incorporated in the general dispersive framework for the pi-pi…

高能物理 - 唯象学 · 物理学 2009-11-07 H. Leutwyler

Experimental measurement of the probability of direct decay of a pion into a positron allows searching for interactions beyond the Standard Model: test of the hypothesis about the universality of the charged current,search for new…

仪器与探测器 · 物理学 2020-10-05 Vladimir I. Selivanov

A forward dispersion calculation is implemented for the spin polarizabilities $\gamma_1, ... ,\gamma_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are…

核理论 · 物理学 2009-10-30 D. Drechsel , G. Krein , O. Hanstein

The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the…

核理论 · 物理学 2009-09-25 L. P. Kaptari , B. Kaempfer , S. M. Dorkin , S. S. Semikh

We give predictions for the partial wave amplitudes of pion photoproduction near threshold by means of dispersion relations at fixed t. The free parameters of this approach are determined by a fit to experimental data in the energy range…

核理论 · 物理学 2016-09-08 O. Hanstein , D. Drechsel , L. Tiator

Since its introduction in 1950, Fisher's dispersion test has become a standard means of deciding whether or not count data follow the Poisson distribution. The test is based on a characteristic property of the Poisson distribution, and…

应用统计 · 统计学 2025-03-21 Erekle Khurodze , Leigh A Roberts

The quantum statistical approach proposed more than one decade ago was used to determine the parton distributions for the proton by considering a large set of accurate Deep Inelastic Scattering experimental results. We propose to extend…

高能物理 - 唯象学 · 物理学 2018-12-05 Claude Bourrely , Jacques Soffer

Dispersion relations---a corollary of unitarity and analyticity---are among the few methods which can be employed to study low energy processes in QCD. In this work we critically revisit the calculation of decay widths of a hypothetical…

高能物理 - 唯象学 · 物理学 2018-12-20 F. Bezrukov , D. Gorbunov , I. Timiryasov

We present results from a comprehensive partial-wave analysis of pi+-p elastic scattering and charge-exchange data, covering the region from threshold to 2.6 GeV in the lab pion kinetic energy, employing a coupled-channel formalism to…

核理论 · 物理学 2009-09-29 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

We derive one-loop matching relations for the Ioffe-time distributions related to the pion distribution amplitude (DA) and generalized parton distributions (GPDs). They are obtained from a universal expression for the one-loop correction in…

高能物理 - 唯象学 · 物理学 2019-12-25 Anatoly Radyushkin

Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key…

高能物理 - 唯象学 · 物理学 2008-11-26 Masayasu Harada , Francesco Sannino , Joseph Schechter

This paper presents the fascinating correspondence between the geometric function theory and the scattering amplitudes with $O(N)$ global symmetry. A crucial ingredient to show such correspondence is a fully crossing symmetric dispersion…

高能物理 - 理论 · 物理学 2021-12-13 Ahmadullah Zahed