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Related papers: On parton distributions beyond the leading order

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In this paper, we revisit implicit regularization from the ground up using notions from dynamical systems and invariant subspaces of Morse functions. The key contributions are a new criterion for implicit regularization---a leading…

Machine Learning · Computer Science 2020-02-04 Mohamed Ali Belabbas

In this talk, we revisit inclusive DIS in the small $x$ limit and derive a new factorization formula that accounts for leading powers in both Bjorken and Regge limits. In this semi-classical description, we obtain a new unintegrated gluon…

High Energy Physics - Phenomenology · Physics 2021-10-06 Yacine Mehtar-Tani

One important obstacle in applying Dempster-Shafer Theory (DST) is its relationship to frequencies. In particular, there exist serious difficulties in finding factorizations of belief functions from data. In probability theory…

Artificial Intelligence · Computer Science 2018-12-17 Andrzej Matuszewski , Mieczysław A. Kłopotek

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal…

High Energy Physics - Phenomenology · Physics 2023-06-21 Markus A. Ebert , Anjie Gao , Iain W. Stewart

A complication in proving factorization theorems in Feynman gauge is that individual graphs give a super-leading power of the hard scale when all the gluons inducing the hard scattering are longitudinally polarized. With the aid of an…

High Energy Physics - Phenomenology · Physics 2009-11-13 J. C. Collins , T. C. Rogers

Likelihood-based inference, central in modern particle physics data analysis requires the extensive evaluation of a likelihood function that depends on set of parameters defined by the statistical model under consideration. If an analytical…

High Energy Physics - Experiment · Physics 2024-01-23 César , Jesús-Valls

It is argued that while the scale dependence of the parton distributions in the fixed flavor factorization scheme is governed by three active flavors, the scale dependence of the running coupling should nevertheless be better governed by a…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Glück , E. Reya

Determinations of structure functions and parton distribution functions have been recently obtained using Monte Carlo methods and neural networks as universal, unbiased interpolants for the unknown functional dependence. In this work the…

High Energy Physics - Phenomenology · Physics 2009-11-18 Luigi Del Debbio , Alberto Guffanti , Andrea Piccione

Motivated by the need to correct the potentially large kinematic errors in approximations used in the standard formulation of perturbative QCD, we reformulate deeply inelastic lepton-proton scattering in terms of gauge invariant, universal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. C. Collins , T. C. Rogers , A. M. Staśto

We analyse polarised Drell-Yan process using the factorisation method and derive operator definitions for polarised parton distribution functions. We demonstrate that a factorisation analogous to that in the unpolarised Drell-Yan case holds…

High Energy Physics - Phenomenology · Physics 2015-06-25 Prakash Mathews , V. Ravindran

We extract the pion fragmentation functions and their uncertainties from a judicious choice of e+e- and semi-inclusive DIS data. These are used to study the error propagation in the extraction of polarized parton densities from…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kretzer , E. Leader , E. Christova

We discuss the determination of polarized parton distributions from a next-to-leading order analysis of recent experimental data. We extract the first moment of the polarized quark and gluon distribution and assess the corresponding…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte , Richard D. Ball , Giovanni Ridolfi

Central to understanding the nonpertubative, intrinsic partonic nature of hadron structure are the concepts of transverse momentum dependent (TMD) parton distribution and fragmentation functions. A TMD factorization approach to the…

High Energy Physics - Phenomenology · Physics 2022-08-17 J. O. Gonzalez-Hernandez , T. C. Rogers , N. Sato

We study the factorization scheme dependence of the next-to-leading order inclusive one jet cross section d sigma/dE_T. The scheme is varied parametrically along the direction that transforms the MSbar scheme to the DIS scheme: we introduce…

High Energy Physics - Phenomenology · Physics 2009-10-31 Parvez Anandam , Davison E. Soper

The hard-gluonic contribution to the first moment of the polarized proton structure function $g_1^p(x)$ is dependent of the factorization convention chosen in defining the quark spin density and the hard cross section for photon-gluon…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hai-Yang Cheng , Hung Hsiang Liu , Chung-Yi Wu

We determine a new set of parton distribution functions (ABMP16), the strong coupling constant $\alpha_s$ and the quark masses $m_c$, $m_b$ and $m_t$ in a global fit to next-to-next-to-leading order (NNLO) in QCD. The analysis uses the…

High Energy Physics - Phenomenology · Physics 2017-07-26 S. Alekhin , J. Blümlein , S. Moch , R. Placakyte

We discuss various tests of the factorization hypothesis making use of the close relationship between semi-leptonic and factorized nonleptonic decay amplitudes. It is pointed out that factorization leads to truely model-independent…

High Energy Physics - Phenomenology · Physics 2009-10-22 Volker Rieckert

The ambiguities inherent in renormalization are considered when using mass-independent renormalization in massless theories that involve two coupling coupling constants. We review how there is no renormalization scheme in which the…

High Energy Physics - Phenomenology · Physics 2018-08-01 D. G. C. McKeon , Chenguang Zhao

We discuss the limitations of the standard collinear approach. The kinematical approximations necessary to derive the collinear factorization are insufficient for the description of the exclusive final states. We argue that for a proper…

High Energy Physics - Phenomenology · Physics 2007-09-13 Anna M. Stasto

We perform next-to-leading order global analyses of deep inelastic and related data for different fixed values of $\alpha_S (M_Z^2)$. We present sets of parton distributions for six values of $\alpha_S$ in the range 0.105 to 0.130. We…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Martin , W. J. Stirling , R. G. Roberts
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