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An explicit stabilized additive Runge-Kutta scheme is proposed. The method is based on a splitting of the problem in severely stiff and mildly stiff subproblems, which are then independently solved using a Runge-Kutta-Chebyshev scheme. The…

Numerical Analysis · Mathematics 2020-03-09 Assyr Abdulle , Giacomo Rosilho de Souza

Nuclear parton distribution functions are obtained by a chi^2 analysis of lepton deep inelastic experimental data. It is possible to determine valence-quark distributions at medium x and antiquark distributions at small x; however, the…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Kumano

Quarkonium production in proton-proton (pp) collision provides interesting means to study the parton content and their correlations in the proton. Recent LHC and Tevatron data of J/psi + Z, J/psi + W and J/psi +J/psi production suggest the…

High Energy Physics - Phenomenology · Physics 2018-11-20 Nodoka Yamanaka , Jean-Philippe Lansberg , Hua-Sheng Shao , Yu-Jie Zhang

In this article, we study multivariate polynomial interpolation and quadrature rules on non-tensor product node sets related to Lissajous curves and Chebyshev varieties. After classifying multivariate Lissajous curves and the interpolation…

Numerical Analysis · Mathematics 2017-08-23 Peter Dencker , Wolfgang Erb

Generalised parton distributions are instrumental to study both the three-dimensional structure and the energy-momentum tensor of the nucleon, and motivate numerous experimental programmes involving hard exclusive measurements. Based on a…

High Energy Physics - Phenomenology · Physics 2021-06-30 V. Bertone , H. Dutrieux , C. Mezrag , H. Moutarde , P. Sznajder

The effective cross section of double parton scattering in high-energy hadron collisions has been measured in proton--proton collisions, with significant variation among final-state observables, contrary to the idea of a universal value.…

High Energy Physics - Phenomenology · Physics 2026-05-14 Joao Vitor C. Lovato , Edgar Huayra , Emmanuel G. de Oliveira

By working out the kinematics of double parton scattering at short relative transverse distances, we obtain an explicit link between the transverse centres of mass, of the two hard partonic interactions, and the contributions to the…

High Energy Physics - Phenomenology · Physics 2018-08-14 Daniele Treleani , Giorgio Calucci

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

We present a new method to solve in a semianalytical way the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NLO order in the x-space. The method allows to construct an evolution operator expressed in form of a rapidly…

High Energy Physics - Phenomenology · Physics 2014-11-17 Pietro Santorelli , Egidio Scrimieri

We calculate parton and generalized parton distributions in Minkowski space using a scalar propagator with a pair of complex conjugate poles. Correct spectral and support properties are obtained only after careful analytic continuation from…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. C. Tiburzi , W. Detmold , G. A. Miller

Skewed parton distributions contain new non-perturbative information about hadronic states. Thus, their extraction from experimental data is an important goal. Properties and models for skewed parton distributions as well as their…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Müller

In this article, we propose a novel channel for phenomenological studies of the double-parton scattering (DPS) based upon associated production of charm $c\bar{c}$ and bottom $b\bar{b}$ quark pairs in well-separated rapidity intervals in…

High Energy Physics - Phenomenology · Physics 2020-01-08 Edgar Huayra , Emmanuel G. de Oliveira , Roman Pasechnik

This paper concerns the design of a multidimensional Chebyshev interpolation based method for a differential game theory problem. In continuous game theory problems, it might be difficult to find analytical solutions, so numerical methods…

Numerical Analysis · Mathematics 2023-07-11 Carmelo de Castro , Víctor Gatón , Beatriz Gómez

Double parton scattering events are directly sensitive to the correlations between two partons inside a proton and can answer fundamental questions on the connections between the proton constituents. In this chapter, the different types of…

High Energy Physics - Phenomenology · Physics 2018-01-11 Tomas Kasemets , Sergio Scopetta

Standard parton distribution function sets do not have rigorously quantified uncertainties. In recent years it has become apparent that these uncertainties play an important role in the interpretation of hadron collider data. In this paper,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Walter T. Giele , Stephane Keller

The generalized parton distributions, introduced nearly a decade ago, have emerged as a universal tool to describe hadrons in terms of quark and gluonic degrees of freedom. They combine the features of form factors, parton densities and…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. V. Belitsky , A. V. Radyushkin

The cross section for transverse momentum dependent double parton scattering involves transverse momentum dependent double parton distributions (DTMDs). In the region of perturbative transverse momentum the DTMDs can be matched onto…

High Energy Physics - Phenomenology · Physics 2016-11-02 Maarten G. A. Buffing , Markus Diehl , Tomas Kasemets

In the extra dimension models of ADD and RS we study the dependence of the various parton distribution functions on observable of Drell-Yan process to NLO in QCD at LHC and Tevatron energies. Uncertainties at LHC due to factorisation scales…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. C. Kumar , Prakash Mathews , V. Ravindran

Double parton distribution functions (dPDFs), entering the double parton scattering (DPS) cross section, are unknown fundamental quantities encoding new interesting properties of hadrons. Here, the pion dPDFs are investigated within…

High Energy Physics - Phenomenology · Physics 2020-08-26 Matteo Rinaldi

The relation between parton and hadron multiplicity distributions is discussed. To obtain parton multiplicity distribution we propose decomposition of the multiplicity distributions of final state hadrons. Such procedure offers hope for…

High Energy Physics - Phenomenology · Physics 2025-04-16 Maciej Rybczyński , Zbigniew Włodarczyk