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We introduce a new color decomposition for multi-parton amplitudes in QCD, free of fundamental-representation matrices and structure constants. This decomposition has a physical interpretation in terms of the flow of color, which makes it…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Maltoni , K. Paul , T. Stelzer , S. Willenbrock

We calculate the two-loop and one-loop/one-emission contributions required for soft gluon evolution at the next-to-leading order. The colour structures are expressed in the colour flow basis, and the kinematic dependence and loop integrals…

High Energy Physics - Phenomenology · Physics 2021-06-16 Simon Plätzer , Ines Ruffa

We present a Monte Carlo approach to soft-gluon resummation at subleading color which can be used to improve existing parton shower algorithms. At the single-emission level, soft-collinear enhancements of the splitting functions are…

High Energy Physics - Phenomenology · Physics 2021-08-11 Stefan Hoeche , Daniel Reichelt

We consider soft gluon evolution in the colour flow basis. We give explicit expressions for the colour structure of the (one-loop) soft anomalous dimension matrix for an arbitrary number of partons, and show how the successive…

High Energy Physics - Phenomenology · Physics 2015-06-18 Simon Plätzer

We present first results of resumming soft gluon effects in a simulation of high energy collisions beyond the leading-colour approximation. We work to all orders in QCD perturbation theory using a new parton branching algorithm. This…

High Energy Physics - Phenomenology · Physics 2021-03-24 Matthew De Angelis , Jeffrey R. Forshaw , Simon Plätzer

It has been argued recently that parton showers based on colour dipoles conflict with collinear factorization and do not lead to the correct DGLAP equation. We show that this conclusion is based on an inappropriate assumption, namely the…

High Energy Physics - Phenomenology · Physics 2009-11-20 Peter Skands , Stefan Weinzierl

Guided by the colour-diagonal structure of collinear singularities, we identify a set of kinematic basis functions that are well suited to the simplification of soft gluon emission amplitudes. In particular, these basis functions, which…

High Energy Physics - Phenomenology · Physics 2022-06-28 Jeffrey R. Forshaw , Jack Holguin , Simon Plätzer

Some of the most arduous and error-prone aspects of precision resummed calculations are related to the partonic hard process, having nothing to do with the resummation. In particular, interfacing to parton-distribution functions, combining…

High Energy Physics - Phenomenology · Physics 2016-09-21 David Farhi , Ilya Feige , Marat Freytsis , Matthew D. Schwartz

We address the problem of decomposing graphs in perturbative QCD into terms associated with particular regions. Motivated by asking how to incorporate next-to-leading order (NLO) QCD corrections in parton-shower algorithms, we require that:…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. C. Collins , F. Hautmann

By the Wolff's cluster Monte Carlo simulations and numerical minimization within a mean field approach, we study the low temperature phase diagram of water, adopting a cell model that reproduces the known properties of water in its fluid…

Soft Condensed Matter · Physics 2009-11-13 Marco G. Mazza , Kevin Stokely , Elena Strekalova , H. Eugene Stanley , Giancarlo Franzese

We perform kinetic Monte Carlo simulations of flow-induced nucleation in polymer melts with an algorithm that is tractable even at low undercooling. The configuration of the non-crystallized chains under flow is computed with a recent…

Soft Condensed Matter · Physics 2015-05-14 Richard S. Graham , Peter D. Olmsted

A new method for combining QCD matrix elements and parton showers in Monte Carlo simulations of hadronic final states is outlined. The aim is to provide at least a leading-order description of all hard multi-jet configurations together with…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. R. Webber

We have previously described a mathematical formulation for a parton shower based on the approximation of strongly ordered virtualities of successive parton splittings. Quantum interference, including interference among different color and…

High Energy Physics - Phenomenology · Physics 2009-04-30 Zoltan Nagy , Davison E. Soper

Knowledge of atmospheric muon flux intensity at large depths is extremely important for neutrino telescopes located deep under ground, water or ice. One of the methods to transform muon sea-level spectrum into depth one is to apply Monte…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. V. Bugaev , I. A. Sokalski , S. I. Klimushin

Colour evolution and parton branching at the amplitude level have become important theoretical frameworks to improve parton showers, and are algorithms in their own right: they complement shower development by resummation algorithms capable…

High Energy Physics - Phenomenology · Physics 2022-10-18 Simon Plätzer

Employing a classical density-functional description of liquid environments, we introduce a rigorous method for the diffusion quantum Monte Carlo calculation of free energies and thermodynamic averages of solvated systems that requires…

We consider the computational efficiency of Monte Carlo (MC) and Multilevel Monte Carlo (MLMC) methods applied to partial differential equations with random coefficients. These arise, for example, in groundwater flow modelling, where a…

Numerical Analysis · Mathematics 2024-12-12 Anastasia Istratuca , Aretha Teckentrup

We study the possibility of using multilevel algorithms for the computation of correlation functions of gradient flow observables. For each point in the correlation function an approximate flow is defined which depends only on links in a…

High Energy Physics - Lattice · Physics 2016-04-13 Miguel García Vera , Stefan Schaefer

The task of Monte Carlo simulation of the evolution of the parton distributions in QCD and of constructing new parton shower Monte Carlo algorithms requires new way of organizing solutions of the QCD evolution equations, in which…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Jadach , M. Skrzypek , Z. Was

Parton showers in Monte Carlo event generators reflect to a certain accuracy our understanding of QCD radiation at all orders. For observables sensitive to interjet energy flow in well defined regions of phase space, it has been known for…

High Energy Physics - Phenomenology · Physics 2007-06-19 Mrinal Dasgupta
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