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In this talk, we summarize how QCD evolution can be exploited to improve the treatment of transverse momentum dependent (TMD) parton distribution and fragmentation functions. The methods allow existing non-perturbative fits to be turned…

High Energy Physics - Phenomenology · Physics 2011-10-28 S. Mert Aybat , Ted C. Rogers

Transverse momentum dependent parton distributions (TMDs) appear in many scattering processes at high energy, from the semi-inclusive DIS experiments at a few GeV to the Higgs transverse momentum distribution at the LHC. Predictions for TMD…

High Energy Physics - Phenomenology · Physics 2016-03-23 Daniel Boer

We investigate parton-branching methods based on transverse-momentum dependent (TMD) parton distributions and matrix elements for the Monte Carlo simulation of multi-particle final states at high-energy colliders. We observe that recently…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann , H. Jung

In the usual factorization theorems, which give predictions only for inclusive cross sections, there is considerable freedom in the choice of the scheme to define the parton distribution functions. These theorems do not directly apply to…

High Energy Physics - Phenomenology · Physics 2009-11-07 John C. Collins , Xiaomin Zu

Transverse-momentum dependent parton distributions can be introduced gauge-invariantly in QCD from high-energy factorization. We discuss Monte Carlo applications of these distributions to parton showers and jet physics, with a view to the…

High Energy Physics - Phenomenology · Physics 2009-02-18 F. Hautmann , H. Jung

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

By using the valon model, we calculate the Transverse Momentum Distribution functions, TMDs, inside the Nucleon. TMDs indicate the probability to find partons with spin aligned (anti- aligned) to the transversely polarized nucleon. The…

High Energy Physics - Phenomenology · Physics 2015-06-18 Z. Alizadeh Yazdi , F. Taghavi-Shahri , F. Arash , M. E. Zomorrodian

In the latest years the theoretical and phenomenological advances in the factorization of several collider processes using the transverse momentum dependent distributions (TMD)has greatly increased. I attempt here a short resume of the…

High Energy Physics - Phenomenology · Physics 2019-01-25 Ignazio Scimemi

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

One of the main theoretical systematics in studies of final states with large jet multiplicities at high-energy hadron colliders is associated with the merging of QCD parton showers and hard-scattering matrix elements. We present a method…

High Energy Physics - Phenomenology · Physics 2022-09-28 A. Bermudez Martinez , F. Hautmann , M. L. Mangano

Branching processes are a class of continuous-time Markov chains (CTMCs) prevalent for modeling stochastic population dynamics in ecology, biology, epidemiology, and many other fields. The transient or finite-time behavior of these systems…

Computation · Statistics 2023-02-24 Achal Awasthi , Jason Xu

Three-body decay functions in space-like parton branches are implemented to evaluate transverse-momentum-dependent (TMD) parton distribution functions in the next-to-leading logarithmic (NLL) order of quantum chromodynamics (QCD).…

High Energy Physics - Phenomenology · Physics 2015-04-08 Hidekazu Tanaka

We explore the possibility to include small-$x$ dynamics effects in the parton branching (PB) approach to transverse momentum dependent (TMD) parton distribution functions. To this end, we first revisit the PB method at leading order,…

High Energy Physics - Phenomenology · Physics 2019-08-06 Sara Taheri Monfared , Francesco Hautmann , Hannes Jung , Melanie Schmitz

The purpose of this paper is to design an algorithm for the computation of the counterparty risk which is competitive in regards of a brute force "Monte-Carlo of Monte-Carlo" method (with nested simulations). This is achieved using marked…

Computational Finance · Quantitative Finance 2012-03-13 Pierre Henry-Labordere

Transverse-momentum-dependent parton distributions (TMDs) provide three-dimensional images of the partonic structure of the nucleon in momentum space. We made impressive progress in understanding TMDs, both from the theoretical and…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alessandro Bacchetta

We analyse a multilevel Monte Carlo method for the approximation of distribution functions of univariate random variables. Since, by assumption, the target distribution is not known explicitly, approximations have to be used. We provide an…

Probability · Mathematics 2017-06-22 Mike B. Giles , Tigran Nagapetyan , Klaus Ritter

Markov chain Monte Carlo (MCMC) algorithms are based on the construction of a Markov chain with transition probabilities leaving invariant a probability distribution of interest. In this work, we look at these transition probabilities as…

Probability · Mathematics 2024-10-01 Rocco Caprio , Adam M. Johansen

Phenomenological studies of transverse momentum dependent (TMD) parton distributions rely on the expansion in small values of the transverse separation of fields, where TMD parton distributions match onto collinear parton distribution…

High Energy Physics - Phenomenology · Physics 2023-09-07 Simone Rodini , Alessio Carmelo Alvaro , Barbara Pasquini

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

Methodology · Statistics 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

The application of Tensor Networks (TN) in quantum computing has shown promise, particularly for data loading. However, the assumption that data is readily available often renders the integration of TN techniques into Quantum Monte Carlo…