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Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the…

High Energy Physics - Phenomenology · Physics 2009-09-02 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We review the current status of collinear and Transverse Momentum Dependent densities based on the Parton Branching method. We investigate the performance of the PB-TMD evolution as well as PB-TMD parton shower with different configurations…

High Energy Physics - Phenomenology · Physics 2021-11-01 S. Taheri Monfared , H. Jung

The extension of the statistical parton distributions to include their transverse momentum dependence (TMD) is revisited by considering that the proton target has a finite longitudinal momentum. The TMD will be generated by means of a…

High Energy Physics - Phenomenology · Physics 2015-06-15 Claude Bourrely , Franco Buccella , Jacques Soffer

Soft-gluon resolution scales characterize parton branching Monte Carlo implementations of the evolution equations for parton distribution functions in Quantum Chromodynamics (QCD). We examine scenarios with dynamical, i.e., branching-scale…

High Energy Physics - Phenomenology · Physics 2025-07-11 F. Hautmann , L. Keersmaekers , A. Lelek , S. Sadeghi Barzani , S. Taheri Monfared

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

We present a short overview on transverse momentum dependent parton distribution and fragmentation functions, giving their partonic interpretation and ways to access them. We then discuss the issue of their universality and its connection…

High Energy Physics - Phenomenology · Physics 2022-03-02 Umberto D'Alesio

Algorithms based on discretizing Langevin diffusion are popular tools for sampling from high-dimensional distributions. We develop novel connections between such Monte Carlo algorithms, the theory of Wasserstein gradient flow, and the…

Computation · Statistics 2019-05-13 Espen Bernton

We implement a discretization of the one-dimensional branching Brownian motion in the form of a Monte Carlo event generator, designed to efficiently produce ensembles of realizations in which the rightmost lead particle at the final time…

Statistical Mechanics · Physics 2020-06-30 Anh Dung Le , Alfred H. Mueller , Stéphane Munier

Our knowledge on the three-dimensional momentum structure of hadrons is encoded in the Transverse Momentum Dependent partonic distribution and fragmentation functions (TMDs). A brief and updated review of the TMDs and of the processes in…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Boglione

Transverse momentum dependent parton distribution functions are a key ingredient in the description of spin and azimuthal asymmetries in deep-inelastic scattering processes. Recent results from non-perturbative calculations in effective…

High Energy Physics - Phenomenology · Physics 2010-02-04 H. Avakian , A. V. Efremov , P. Schweitzer , O. V. Teryaev , F. Yuan , P. Zavada

We present a Cross-Entropy based population Monte Carlo algorithm. This methods stands apart from previous work in that we are not optimizing a mixture distribution. Instead, we leverage deterministic mixture weights and optimize the…

Computation · Statistics 2022-02-09 Caleb Miller , Jem N. Corcoran , Michael D. Schneider

The parton branching method is crucial for Monte Carlo generators, which are essential for high-energy physics predictions. We examine the impact of soft gluons on inclusive collinear and Transverse Momentum Dependent (TMD) parton…

High Energy Physics - Phenomenology · Physics 2024-10-10 S. Taheri Monfared

The use of sequential Monte Carlo within simulation for path-dependent option pricing is proposed and evaluated. Recently, it was shown that explicit solutions and importance sampling are valuable for efficient simulation of spot price and…

Computational Finance · Quantitative Finance 2019-11-13 Michael A. Kouritzin , Anne MacKay

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-06-05 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

Recent work has suggested using Monte Carlo methods based on piecewise deterministic Markov processes (PDMPs) to sample from target distributions of interest. PDMPs are non-reversible continuous-time processes endowed with momentum, and…

Machine Learning · Statistics 2024-06-28 Paul Fearnhead , Sebastiano Grazzi , Chris Nemeth , Gareth O. Roberts

In this paper we will give a Monte Carlo algorithm by which the moments of a functions of Dirichlet probability distributions can be estimated. This algorithm is called Inner Nested Sampling and is an implementation of Skilling's general…

Methodology · Statistics 2017-04-10 H. R. N. van Erp , R. O. Linger , P. H. A. J. M. van Gelder

We derive relations between polarized transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

We study the transverse momentum dependent (TMD) parton distributions in the newly proposed quasi-parton distribution function framework in Euclidean space. A soft factor subtraction is found to be essential to make the TMDs calculable on…

High Energy Physics - Phenomenology · Physics 2015-04-16 Xiangdong Ji , Peng Sun , Xiaonu Xiong , Feng Yuan

We propose new Markov Chain Monte Carlo algorithms to sample probability distributions on submanifolds, which generalize previous methods by allowing the use of set-valued maps in the proposal step of the MCMC algorithms. The motivation for…

Numerical Analysis · Mathematics 2021-10-07 Tony Lelièvre , Gabriel Stoltz , Wei Zhang

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in short referred to as TMDs, also take into account the transverse momentum (pT) of the partons. Just as the pT-integrated analogues we want to link them to quark…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. G. A. Buffing , P. J. Mulders , A. Mukherjee