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We compare a NLO W gamma matrix element generator with the leading order calculation in Pythia . A matching scheme between a next-to-leading order W gamma matrix element generator by Baur et. al. and the Pythia parton shower is presented.…

High Energy Physics - Phenomenology · Physics 2010-02-24 D. Majumder , K. Mazumdar , T. Sjostrand

In this paper, we employ the techniques developed for second order operators to obtain the new estimates of Virtual Element Method for fourth order operators. The analysis is based on elements with proper shape regularity. Estimates for…

Numerical Analysis · Mathematics 2021-12-17 Qingguang Guan

We propose a novel Hybrid High-Order method for the Cahn-Hilliard problem with convection. The proposed method is valid in two and three space dimensions, and it supports arbitrary approximation orders on general meshes containing…

Numerical Analysis · Mathematics 2017-02-28 Florent Chave , Daniele Di Pietro , Fabien Marche

The next-to-leading order accuracy for MC@NLO results exclusive in J light jets is achieved if the computation is based on matrix elements that feature J and J+1 QCD partons. The simultaneous prediction of observables which are exclusive in…

High Energy Physics - Phenomenology · Physics 2015-06-11 Rikkert Frederix , Stefano Frixione

The regularity of the solution of elliptic partial differential equa- tions in a polygonal domain with re-entrant corners is, in general, reduced compared to the one on a smooth convex domain. This results in a best approximation property…

Numerical Analysis · Mathematics 2017-04-20 Thomas Horger , Petra Pustejovska , Barbara Wohlmuth

We present a new accuracy condition for the construction of continuous mass-lumped elements. This condition is less restrictive than the one currently used and enabled us to construct new mass-lumped tetrahedral elements of degrees 2 to 4.…

Numerical Analysis · Mathematics 2019-01-29 S. Geevers , W. A. Mulder , J. J. W. van der Vegt

Linearly implicit Runge-Kutta methods with approximate matrix factorization can solve efficiently large systems of differential equations that have a stiff linear part, e.g. reaction-diffusion systems. However, the use of approximate…

Numerical Analysis · Computer Science 2014-08-19 Hong Zhang , Adrian Sandu , Paul Tranquilli

We present theoretical predictions for the production of top-quark pairs with up to three jets at the next-to leading order in perturbative QCD. The relevant calculations are performed with Sherpa and OpenLoops. To address the issue of…

High Energy Physics - Phenomenology · Physics 2017-04-05 Stefan Höche , Philipp Maierhoefer , Niccolo Moretti , Stefano Pozzorini , Frank Siegert

In this paper, a novel pre- and post-processing algorithm is presented that can double the convergence rate of finite element approximations for linear wave problems. In particular, it is shown that a $q$-step pre- and post-processing…

Numerical Analysis · Mathematics 2020-02-05 Sjoerd Geevers

We introduce a new characteristic of jets called mass area. It is defined so as to measure the susceptibility of the jet's mass to contamination from soft background. The mass area is a close relative of the recently introduced catchment…

High Energy Physics - Phenomenology · Physics 2015-05-19 Sebastian Sapeta , Qi Cheng Zhang

We present an implementation of the so-called CKKW-L merging scheme for combining multi-jet tree-level matrix elements with parton showers. The implementation uses the transverse-momentum-ordered shower with interleaved multiple…

High Energy Physics - Phenomenology · Physics 2012-03-27 Leif Lonnblad , Stefan Prestel

This paper presents a methodology for constructing iterative schemes of any order of convergence for solving nonlinear systems of equations. It also provides formulas for the order of convergence of any iterative schemes constructed using…

Numerical Analysis · Mathematics 2018-06-12 Stefan Hothazie , Munteanu Camelia Elena , Mihaela Nastase

We present a multi-scale lattice Boltzmann scheme, which adaptively refines particles' velocity space. Different velocity sets, i.e., higher- and lower-order lattices, are consistently and efficiently coupled, allowing us to use the…

Fluid Dynamics · Physics 2021-06-16 N. G. Kallikounis , B. Dorschner , I. V. Karlin

Contention resolution schemes have proven to be an incredibly powerful concept which allows to tackle a broad class of problems. The framework has been initially designed to handle submodular optimization under various types of constraints,…

Data Structures and Algorithms · Computer Science 2018-11-27 Marek Adamczyk , Michał Włodarczyk

We consider a saddle point formulation for a sixth order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciarlet-Raviart formulation for the biharmonic problem to…

Numerical Analysis · Mathematics 2017-11-17 Jérôme Droniou , Muhammad Ilyas , Bishnu Lamichhane , Glen E. Wheeler

We study infrared (IR) divergences in light front quantum chromodynamics using a coherent state basis in light front time-ordered Hamiltonian perturbation theory. In computation of the S-matrix elements in Hamiltonian formalism, the IR…

High Energy Physics - Phenomenology · Physics 2023-01-31 Deepesh Bhamre , Anuradha Misra

We present a new QCD event generator for hadron collider which can calculate one-, two- and three-jet cross sections at next-to-leading order accuracy. In this letter we study the transverse energy spectrum of three-jet hadronic events…

High Energy Physics - Phenomenology · Physics 2011-05-05 Zoltan Nagy

We present a novel framework to streamline the calculation of jet and beam functions to next-to-next-to-leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear splitting functions, we factorise the…

High Energy Physics - Phenomenology · Physics 2021-10-29 Guido Bell , Kevin Brune , Goutam Das , Marcel Wald

Suppose that there is a ground set which consists of a large number of vectors in a Hilbert space. Consider the problem of selecting a subset of the ground set such that the projection of a vector of interest onto the subspace spanned by…

Information Theory · Computer Science 2015-07-20 Zhenliang Zhang , Yuan Wang , Edwin K. P. Chong , Ali Pezeshki , Louis Scharf

We present an extension to the jet area-based pileup subtraction for both jet kinematics and jet shapes. A particle-level approach is explored whereby the jet constituents are corrected or removed using an extension of the methods currently…

High Energy Physics - Experiment · Physics 2014-07-04 Peter Berta , Martin Spousta , David W. Miller , Rupert Leitner
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