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Higher-order perturbative calculations in Quantum (Field) Theory suffer from the factorial increase of the number of individual diagrams. Here I describe an approach which evaluates the total contribution numerically for finite temperature…

High Energy Physics - Theory · Physics 2017-08-23 R. Rosenfelder

In this paper I discuss how to consistently incorporate higher-order corrections to the bubble-nucleation rate at finite temperature. Doing so I examine the merits of different approaches, with the goal of reducing uncertainties for…

High Energy Physics - Phenomenology · Physics 2022-03-01 Andreas Ekstedt

We discuss the computation of QCD virtual corrections to the top production and decay process at linear colliders. The double pole approximation (DPA) is used, and we comment on similarities and differences between our results and results…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cosmin Macesanu

We review some recent results about the computation of mixed QCD-QED corrections beyond the leading order in perturbation theory. We start by considering the effects induced in the Altarelli-Parisi equations and the partonic distributions.…

High Energy Physics - Phenomenology · Physics 2018-05-17 German F. R. Sborlini

We compute the inclusive jet spectrum in the presence of a dense QCD medium by going beyond the single parton energy loss approximation. We show that higher-order corrections are important yielding large logarithmic contributions that must…

High Energy Physics - Phenomenology · Physics 2019-03-05 Yacine Mehtar-Tani , Konrad Tywoniuk

This article reports an automated approach to the evaluation of higher-order terms of QED perturbation to anomalous magnetic moments of charged leptons by numerical means. We apply this approach to tenth-order correction due to a particular…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio

Perturbation theory (PT) might be one of the most powerful and fruitful tools for both physicists and chemists, which has led to a wide variety of applications. Over the past decades, advances in quantum computing provide opportunities for…

Quantum Physics · Physics 2024-04-09 Junxu Li , Xingyu Gao

We calculate the pressure for pure-glue QCD at high temperature to two-loop order using hard-thermal-loop (HTL) perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations of the vacuum energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jens O. Andersen , Eric Braaten , Emmanuel Petitgirard , Michael Strickland

High dimensional integration is essential to many areas of science, ranging from particle physics to Bayesian inference. Approximating these integrals is hard, due in part to the difficulty of locating and sampling from regions of the…

Machine Learning · Statistics 2020-05-25 Thomas Foster , Chon Lok Lei , Martin Robinson , David Gavaghan , Ben Lambert

In this paper, we introduce a higher-order multiscale method for time-dependent problems with highly oscillatory coefficients. Building on the localized orthogonal decomposition (LOD) framework, we construct enriched correction operators to…

Numerical Analysis · Mathematics 2026-05-15 Balaje Kalyanaraman , Felix Krumbiegel , Roland Maier , Siyang Wang

A rigorous QCD analysis of the inclusive annihilation decay rates of heavy quarkonium states is presented. The effective-field-theory framework of nonrelativistic QCD is used to separate the short-distance scale of annihilation, which is…

High Energy Physics - Phenomenology · Physics 2014-11-17 Geoffrey T. Bodwin , Eric Braaten , G. Peter Lepage

We compute the relative-order-v^4 contribution to gluon fragmentation into quarkonium in the 3S1 color-singlet channel, using the nonrelativistic QCD (NRQCD) factorization approach. The QCD fragmentation process contains infrared…

High Energy Physics - Phenomenology · Physics 2023-07-25 Geoffrey T. Bodwin , U-Rae Kim , Jungil Lee

In this series of lectures, I shall begin with the current investigations on phenomenology of hadron dynamics to demonstrate the importance of solving hadronic bound states within the framework of light-front (LF) QCD. Then, I will describe…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wei-Min Zhang

We present theoretical results at approximate NNLO in QCD for top-quark pair-production total cross sections and top-quark differential distributions at the LHC in the SMEFT. In this work we consider effects of new physics parametrized by…

High Energy Physics - Phenomenology · Physics 2024-10-01 Alberto Tonero , Nikolaos Kidonakis

Results of analytical calculations for heavy quark systems in higher orders of perturbation theory are overviewed. I discuss baryons with one finite mass quark in the next-to-leading order and heavy quark pair production near the threshold…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Pivovarov

We find the leading electroweak corrections to the Lagrangians of heavy-quark effective theory and nonrelativistic QCD. These corrections appear in the Wilson coefficients of the two- and four-quark operators and are considered here at…

High Energy Physics - Phenomenology · Physics 2023-06-06 B. Assi , B. A. Kniehl , J. Soto

Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was…

High Energy Physics - Phenomenology · Physics 2022-04-13 Andrea Banfi , Frédéric A. Dreyer , Pier Francesco Monni

In this paper we describe a theoretical framework and algorithms for implementing QCD corrections to top quark decays in the Herwig++ event generator. The dominant corrections, due to soft and collinear emissions, are summed to all orders…

High Energy Physics - Phenomenology · Physics 2010-10-27 Keith Hamilton , Peter Richardson

We make use of recent results in effective theory and higher-order perturbative calculations to improve the theoretical predictions of the QCD contribution to the top-quark pair production forward-backward asymmetry at the Tevatron. In…

High Energy Physics - Phenomenology · Physics 2013-05-29 Valentin Ahrens , Andrea Ferroglia , Matthias Neubert , Ben D. Pecjak , Li Lin Yang

The brief review of the current status of the studies of the effects of the higher-order perturbative QCD corrections to the deep-inelastic sum rules is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei L. Kataev