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A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting species. Hierarchical polynomial functions are used to construct an…

We extend a distributed finite element method built upon model order reduction to arbitrary polynomial degree using a hybrid Nitsche scheme. The new method considerably simplifies the transformation of the finite element system to the…

Numerical Analysis · Mathematics 2026-01-13 Tom Gustafsson , Antti Hannukainen , Vili Kohonen , Juha Videman

We consider within QCD collinear factorization the process p+p to jet + jet +X, where two forward high-$p_T$ jets are produced with a large separation in rapidity $\Delta y$ (Mueller-Navelet jets). In this case the (calculable) hard part of…

High Energy Physics - Phenomenology · Physics 2015-06-04 Dmitry Yu. Ivanov , Alessandro Papa

Conventional jet algorithms are based on a deterministic view of the underlying hard scattering process. Each outgoing parton from the hard scattering is associated with a hard, well separated jet. This approach is very successful because…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. T. Giele , E. W. N. Glover

We present a complete calculation of the photon +~1 jet rate in $e^+e^-$ annihilation up to ${\cal O}(\alpha \alpha_{s})$. Although formally of next-to-leading order in perturbation theory, this calculation contains several ingredients…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , E. W. N. Glover

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

The so-called matrix-element method (MEM) has long been used successfully as a classification tool in particle physics searches. In the presence of invisible final state particles, the traditional MEM typically assigns probabilities to an…

High Energy Physics - Phenomenology · Physics 2019-08-26 Stefan von Buddenbrock , Olivier Mattelaer , Michael Spannowsky

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

A finite element methodology for large classes of variational boundary value problems is defined which involves discretizing two linear operators: (1) the differential operator defining the spatial boundary value problem; and (2) a Riesz…

Numerical Analysis · Mathematics 2017-12-08 Brendan Keith , Socratis Petrides , Federico Fuentes , Leszek Demkowicz

The increasing use of multivariate methods, and in particular the Matrix Element Method (MEM), represents a revolution in experimental particle physics. With continued exponential growth in computing capabilities, the use of sophisticated…

High Energy Physics - Phenomenology · Physics 2013-07-29 James S. Gainer , Joseph Lykken , Konstantin T. Matchev , Stephen Mrenna , Myeonghun Park

We introduce a new class of event shapes to characterize the jet-like structure of an event. Like traditional event shapes, our observables are infrared/collinear safe and involve a sum over all hadrons in an event, but like a jet…

High Energy Physics - Phenomenology · Physics 2015-06-17 Daniele Bertolini , Tucker Chan , Jesse Thaler

We consider Trace finite element methods for the linear membrane problem on second order tetrahedral elements. To accomplish this, zero-level set reconstruction methods for second order tetrahedra are considered. For the higher order…

Numerical Analysis · Mathematics 2017-03-21 Mirza Cenanovic

Jet cross sections in deeply inelastic scattering in the case of transverse photon exchange for the production of (1+1) and (2+1) jets are calculated in next-to-leading order QCD (here the `+1' stands for the target remnant jet, which is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Dirk Graudenz

The leptonic decays of the heavy gauge bosons W and/or Z provide a clear experimental signature at hadron colliders. The production of accompanying jets is an excellent signal to probe QCD, while also being the main background to many…

High Energy Physics - Phenomenology · Physics 2015-03-18 Flavia A. Dias , Emily Nurse , Gavin Hesketh

We present a simple formalism for the evolution of timelike jets in which tree-level matrix element corrections can be systematically incorporated, up to arbitrary parton multiplicities and over all of phase space, in a way that…

High Energy Physics - Phenomenology · Physics 2013-08-06 W. T. Giele , D. A. Kosower , P. Z. Skands

In recent studies \cite{ZZ24, FY24}, the Interior Penalty Virtual Element Method (IPVEM) has been developed for solving a fourth-order singular perturbation problem, with uniform convergence established in the lowest-order case concerning…

Numerical Analysis · Mathematics 2026-04-06 Fang Feng , Yuanyi Sun , Yue Yu

A jet algorithm must specify how to (re-)combine different partons or towers into a single four-vector. Various recombination schemes have been used experimentally to examine the transverse energy profile of jets in hadron colliders.…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , David A. Kosower

In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical…

Numerical Analysis · Mathematics 2020-09-14 Yanping Lin , Xiu Ye , Shangyou Zhang

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

We determine dominant next-to-next-to-leading order QCD corrections to single-inclusive jet production at the LHC and Tevatron, using the established threshold resummation framework. In contrast to previous literature on this topic, our…

High Energy Physics - Phenomenology · Physics 2015-06-17 Daniel de Florian , Patriz Hinderer , Asmita Mukherjee , Felix Ringer , Werner Vogelsang