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It is useful to describe a leading order parton shower as the solution of a linear equation that specifies how the state of the partons evolves. This description involves an essential approximation of a strong ordering of virtualities as…

High Energy Physics - Phenomenology · Physics 2008-05-29 Zoltan Nagy , Davison E. Soper

We perform a careful analysis of the main Monte Carlo algorithm used in parton shower simulations, the Sudakov veto algorithm. We prove a general version of the algorithm, directly including the dependence on the infrared cutoff. Taking…

High Energy Physics - Phenomenology · Physics 2012-03-20 Simon Platzer , Malin Sjodahl

Initial state evolution in parton shower event generators involves parton distribution functions. We examine the probability for the system to evolve from a higher scale to a lower scale without an initial state splitting. A simple argument…

High Energy Physics - Phenomenology · Physics 2020-07-24 Zoltán Nagy , Davison E. Soper

We give algorithms to factorize large integers in the duality computer. We provide three duality algorithms for factorization based on a naive factorization method, the Shor algorithm in quantum computing, and the Fermat's method in…

Quantum Physics · Physics 2015-06-26 Wan-Ying Wang , Bin Shang , Chuan Wang , Gui Lu Long

We present a parton shower which implements the DGLAP evolution of parton densities and fragmentation functions at next-to-leading order precision up to effects stemming from local four-momentum conservation. The Monte-Carlo simulation is…

High Energy Physics - Phenomenology · Physics 2017-11-01 Stefan Höche , Frank Krauss , Stefan Prestel

This note presents the basic mathematical structure of a new integer factorization method based on systems of linear Diophantine equations.

Number Theory · Mathematics 2007-05-23 N. A. Carella

A framework to include triple collinear splitting functions into parton showers is presented, and the implementation of flavor-changing NLO splitting kernels is discussed as a first application. The correspondence between the Monte-Carlo…

High Energy Physics - Phenomenology · Physics 2017-11-01 Stefan Höche , Stefan Prestel

We propose a new approach for combining next-to-leading order (NLO) and parton shower (PS) calculations so as to obtain three core features: (a) applicability to general showers, as with the MCatNLO and POWHEG methods; (b) positive-weight…

High Energy Physics - Phenomenology · Physics 2022-02-02 Paolo Nason , Gavin P. Salam

This paper presents the method of combining parton shower formalism with perturbative calculations (matrix elements) in form of a Monte-Carlo algorithm for the process g g -> Z b anti-b,consistenlty including the heavy quark masses and…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. P. Kersevan , I. Hinchliffe , L. Mijovic

The second-order QCD matrix elements give a very good agreement with experimental data on the angular distributions of the four-jet events in e+e- collisions at the Z0 resonance energy. Unfortunately the description of the sub-jet structure…

High Energy Physics - Phenomenology · Physics 2007-05-23 Johan André

We study 3-jet event topologies in proton-proton collisions at a centre-of-mass energy of $\sqrt{s} = 13 {\rm\ TeV}$ in a configuration, where one jet is present in the central pseudorapidity region ($|\eta| < 2.0$) while two other jets are…

High Energy Physics - Phenomenology · Physics 2020-08-26 H. Van Haevermaet , A. Van Hameren , P. Kotko , K. Kutak , P. Van Mechelen

We make a thorough comparison between different schemes of merging fixed-order tree-level matrix element generators with parton-shower models. We use the most basic benchmark of the O(alpha_S) correction to e+e- -> jets, where the simple…

High Energy Physics - Phenomenology · Physics 2009-04-30 Nils Lavesson , Leif Lonnblad

A symmetric nonnegative matrix factorization algorithm based on self-paced learning was proposed to improve the clustering performance of the model. It could make the model better distinguish normal samples from abnormal samples in an…

Machine Learning · Computer Science 2024-10-22 Lei Wang , Liang Du , Peng Zhou , Peng Wu

In this document, we present a review on an alternative NLO subtraction scheme, based on the splitting kernels of an improved parton shower that promises to facilitate the inclusion of higher order corrections into Monte Carlo event…

High Energy Physics - Phenomenology · Physics 2013-08-07 Tania Robens

Accurate and efficient amplitude predictions are essential for precision studies of multi-jet processes at the LHC. We introduce a novel neural network architecture that predicts multi-jet amplitudes by leveraging the Catani-Seymour…

High Energy Physics - Phenomenology · Physics 2025-12-16 Luca Beccatini , Fabio Maltoni , Olivier Mattelaer , Ramon Winterhalder

Flower pollination algorithm is a new nature-inspired algorithm, based on the characteristics of flowering plants. In this paper, we extend this flower algorithm to solve multi-objective optimization problems in engineering. By using the…

Neural and Evolutionary Computing · Computer Science 2014-04-04 Xin-She Yang , M. Karamanoglu , Xingshi He

In this work we present a new subtraction method for next-to-leading order calculations that is particularly convenient even when narrow resonances are present. The method is particularly suitable for the implementation of next-to-leading…

High Energy Physics - Phenomenology · Physics 2016-01-27 Tomáš Ježo , Paolo Nason

We compare different procedures for combining fixed-order tree-level matrix element generators with parton showers. We use the case of W-production at the Tevatron and the LHC to compare different implementations of the so-called CKKW…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Hoeche , Frank Krauss , Nils Lavesson , Leif Lonnblad , Michelangelo Mangano , Andreas Schaelicke , Steffen Schumann

One can use more than one scale variable to define the family of surfaces in the space of parton splitting parameters that define the evolution of a parton shower. In an earlier paper, we developed this idea for electron-positron…

High Energy Physics - Phenomenology · Physics 2022-08-17 Zoltan Nagy , Davison E. Soper

We introduce a backward evolution Monte Carlo algorithm implementation of the CCFM equation and present latest developments in phenomenology of hadron-hadron collisions for the Monte Carlo generator Cascade.

High Energy Physics - Phenomenology · Physics 2011-04-11 Michal Deak