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We propose a kernel method to identify finite mixtures of nonparametric product distributions. It is based on a Hilbert space embedding of the joint distribution. The rank of the constructed tensor is equal to the number of mixture…

Machine Learning · Computer Science 2013-09-27 Eleni Sgouritsa , Dominik Janzing , Jonas Peters , Bernhard Schoelkopf

The helicity-dependent strange quark distribution in the proton, $\Delta s$, is calculated in a nonlocal chiral SU(3) effective field theory. The hadronic proton to meson plus octet or decuplet baryon splitting functions are derived at the…

High Energy Physics - Phenomenology · Physics 2022-05-25 Fangcheng He , Chueng-Ryong Ji , W. Melnitchouk , Y. Salamu , A. W. Thomas , P. Wang , X. G. Wang

We report the polarized parton distributions proposed by the Asymmetry Analysis Collaboration (AAC). Using parametrized distributions at Q^2=1 GeV^2 and measured A_1 data, we determine optimum polarized distributions in the leading order…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kumano

The generalized parton distributions are non-perturbative objects, which encode information on long distance dynamics in a number of exclusive processes. They are hybrids of conventional parton densities, distribution amplitudes and hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Belitsky , D. Müller

A regularization procedure developed in [1] for the integral curvature invariants on manifolds with conical singularities is generalized to the case of squashed cones. In general, the squashed conical singularities do not have rotational…

High Energy Physics - Theory · Physics 2015-06-16 Dmitri V. Fursaev , Alexander Patrushev , Sergey N. Solodukhin

Polarized parton distribution functions are determined by using world data from the longitudinally polarized deep inelastic scattering experiments. A new parametrization of the parton distribution functions is adopted by taking into account…

High Energy Physics - Phenomenology · Physics 2014-11-17 Y. Goto , N. Hayashi , M. Hirai , H. Horikawa , S. Kumano , M. Miyama , T. Morii , N. Saito , T. -A. Shibata , E. Taniguchi , T. Yamanishi

We investigate the feasibility of constraining parton distribution functions in the proton through a comparison with data on semi-inclusive deep-inelastic lepton-nucleon scattering. Specifically, we reweight replicas of these distributions…

High Energy Physics - Phenomenology · Physics 2017-11-29 Ignacio Borsa , Rodolfo Sassot , Marco Stratmann

We compute non-perturbatively the evolution of the twist-2 operators corresponding to the average momentum of non-singlet quark densities. The calculation is based on a finite-size technique, using the Schr\"odinger Functional, in quenched…

High Energy Physics - Lattice · Physics 2009-11-10 A. Shindler , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , I. Wetzorke

A possible application of the evolution equation for the truncated Mellin moments to determination of the parton distributions in the nucleon is presented. We find that the reconstruction of the initial parton densities at scale $Q_0^2$…

High Energy Physics - Phenomenology · Physics 2009-11-20 Dorota Kotlorz , Andrzej Kotlorz

A large class of polarized and unpolarized deep inelastic data is successfully described with Fermi-Dirac functions for the non-diffractive part of quark parton distributions. The NLO approach used here improves the agreement with…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Buccella , O. Pisanti , L. Rosa

I give a brief introduction to the physics of generalized parton distributions and distribution amplitudes. I then report on the status of the calculation of radiative corrections for the exclusive processes where these quantities occur.

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Diehl

We summarize the main features of our approach to parton fitting, and we show a preliminary result for the non-singlet structure function. When comparing our result to other PDF sets, we find a better description of large x data and larger…

High Energy Physics - Phenomenology · Physics 2019-08-14 Andrea Piccione , Joan Rojo

Recent developments showed that hadron light-cone parton distributions could be directly extracted from spacelike correlators, known as quasi parton distributions, in the large hadron momentum limit. Unlike the normal light-cone parton…

High Energy Physics - Phenomenology · Physics 2017-01-04 Jiunn-Wei Chen , Xiangdong Ji , Jian-Hui Zhang

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a…

High Energy Physics - Phenomenology · Physics 2014-11-18 Thomas Becher , Matthias Neubert

Results on the peridynamics equilibrium and evolution equations over the space of periodic vector-distributions in multi-spatial dimensions are presented. The associated operator considered is the linear state-based peridynamic operator for…

Analysis of PDEs · Mathematics 2024-10-29 Thinh Dang , Bacim Alali , Nathan Albin

We use an s-channel picture of hard hadronic collisions to investigate the parton distribution function for quarks at small momentum fraction x, which corresponds to very high energy scattering. We study the renormalized quark distribution…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann , D. E. Soper

We study $\rho$ meson unpolarized generalized parton distributions based on a light-front constituent quark model where the quark-antiquark-meson vertex is constructed under the symmetric loop momentum convention. The form factors and some…

High Energy Physics - Phenomenology · Physics 2017-09-06 Bao-Dong Sun , Yu-Bing Dong

We derive evolution equations for the truncated Mellin moments of the parton distributions. We find that the equations have the same form as those for the partons themselves. The modified splitting function for n-th moment $P'(n,x)$ is…

High Energy Physics - Phenomenology · Physics 2010-03-25 D. Kotlorz , A. Kotlorz

I discuss our current understanding of parton distributions. I begin with the underlying theoretical framework, and the way in which different data sets constrain different partons, highlighting recent developments. The methods of examining…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. S. Thorne

We introduce a new regularization scheme for divergent integrals in quantum field theory. The framework is based on the structural decomposition of the integrand asymptotic expansion, which distinguishes between contributions that drive UV…

High Energy Physics - Theory · Physics 2026-05-27 Christian Durán Romero , Luis J. Garay , Mercedes Martín-Benito , Rita B. Neves