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The inclusion of a fragmentation mechanism in population balance equations introduces complex interactions that make the analytical or even computational treatment much more difficult than for the pure aggregation case. This is specially…

Disordered Systems and Neural Networks · Physics 2022-03-14 Arturo Berrones-Santos , Luis Benavides-Vázquez , Elisa Schaeffer , Javier Almaguer

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

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and quarks and gluons within it. We propose to extract PDFs from QCD global analysis of "data" generated by lattice QCD…

High Energy Physics - Phenomenology · Physics 2018-10-24 Yan-Qing Ma , Jian-Wei Qiu

The study of factorization in linearized gravity is extended to the graviton scattering processes with an electron for the massive vector boson productions such as $g e \rightarrow Z e$ and $g e \rightarrow W \nu_e$. It is shown that every…

High Energy Physics - Theory · Physics 2011-09-09 J. S. Shim , H. S. Song

We investigate the power-suppressed corrections to fragmentation functions in flavour-singlet deep inelastic lepton scattering, to complement the previous results for the non-singlet contribution. Our method is a dispersive approach based…

High Energy Physics - Phenomenology · Physics 2009-10-31 Graham Smye

Factorization properties of one-loop gauge theory amplitudes have been used as checks on explicitly computed amplitudes and in the construction of ansatze for higher-point ones. In massless theories, such as QCD at high energies, infrared…

High Energy Physics - Phenomenology · Physics 2010-04-06 Z. Bern , G. Chalmers

Many-body perturbation theory (MBPT) is widely used in quantum physics, chemistry, and materials science. At the heart of MBPT is the Feynman diagrammatic expansion, which is, simply speaking, an elegant way of organizing the…

Mathematical Physics · Physics 2018-09-11 Lin Lin , Michael Lindsey

We study the transverse-momentum spectrum of quarkonium production from single light-parton fragmentation mechanism. In the case of semi-inclusive deep inelastic scattering, we observe that there are two possible initiating processes,…

High Energy Physics - Phenomenology · Physics 2020-10-29 Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

Factorization violating effects in hadron scattering are due mainly to spectator-spectator interactions. While it is known that these interactions cancel in inclusive cross sections, like for the Drell-Yan process, not much is known about…

High Energy Physics - Phenomenology · Physics 2018-06-06 Matthew D. Schwartz , Kai Yan , Hua Xing Zhu

We give an overview of the current status of perturbative QCD factorization theorems in processes that involve transverse momentum dependent (TMD) parton distribution functions (PDFs) and fragmentation functions (FF). We enumerate those…

High Energy Physics - Phenomenology · Physics 2011-07-21 S. M. Aybat , T. C. Rogers

Higher orders in perturbation theory require the calculation of Feynman integrals at multiple loops. We report on an approach to systematically solve Feynman integrals by means of symbolic summation and discuss the underlying algorithms.…

Mathematical Physics · Physics 2008-11-26 S. Moch

We present new sets of pion and kaon fragmentation functions obtained in NLO combined analyses of single-inclusive hadron production in electron-positron annihilation, proton-proton collisions, and deep-inelastic lepton-proton scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. de Florian , R. Sassot , M. Stratmann

We review the physics of the power corrections to the parton model. In the first part, we consider the power corrections which characterize the infrared sensitivity of Feynman graphs when the contribution of short distances dominates. The…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. V. Gubarev , M. I. Polikarpov , V. I. Zakharov

It has been suggested that scattering cross sections at very high energies for producing large numbers of Higgs particles may exhibit factorial growth, and that curing this growth might be relevant to other questions in the Standard Model.…

High Energy Physics - Phenomenology · Physics 2020-03-02 Michael Dine , Hiren H. Patel , Jaryd F. Ulbricht

The nonperturbative parton distributions, obtained from the Lorentz contracted wave functions, are analyzed in the formalism of many-particle Fock components and their properties are compared to the standard perturbative distributions. We…

High Energy Physics - Phenomenology · Physics 2016-03-23 Yu. A. Simonov

Within the kt-factorization approach, we evaluate the impact factor of the transition gamma* -> rhoT taking into account the twist 3 contributions. We show that a gauge invariant expression is obtained with the help of QCD equations of…

High Energy Physics - Phenomenology · Physics 2009-09-23 I. V. Anikin , D. Yu. Ivanov , B. Pire , L. Szymanowski , S. Wallon

Different forms of non-linear equations which mimic parton saturation in the non-perturbative regime are examined. These equations lead to corresponding unitarization schemes in the impact parameter representation of the hadron scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. V. Selyugin , J. -R. Cudell

The theoretical description of observables at collider experiments relies on factorization theorems separating perturbative dynamics from universal non-perturbative matrix elements. Despite significant recent progress in extending these…

High Energy Physics - Phenomenology · Physics 2023-08-04 Kyle Lee , Ian Moult

The factorization theorem for $q_T$ spectra in Drell-Yan processes, boson production and semi-inclusive deep inelastic scattering allows for the determination of the non-perturbative parts of transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2015-06-23 Umberto D'Alesio , Miguel G. Echevarría , Stefano Melis , Ignazio Scimemi

Within the non-perturbative 1/N expansion, we discuss numerical methods for calculating multi-loop Feynman graph needed to derive physical scattering amplitudes. We apply higher order 1/N methods to the scalar sector of the standard model,…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Ghinculov , T. Binoth