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Related papers: Threshold Resummation and Rapidity Dependence

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We consider GMRES applied to discretisations of the high-frequency Helmholtz equation with strong trapping; recall that in this situation the problem is exponentially ill-conditioned through an increasing sequence of frequencies. Under…

Numerical Analysis · Mathematics 2021-11-15 Pierre Marchand , Jeffrey Galkowski , Alastair Spence , Euan A. Spence

We revisit the problem of absorption by identical atoms with entanglement and symmetrization acting at once. We introduce the recoil of the atoms in the calculations and compare the results with those of distinguishable systems instead of…

Quantum Physics · Physics 2022-01-21 Pedro Sancho

Transseries expansions build upon ordinary power series methods by including additional basis elements such as exponentials and logarithms. Alternative summation methods can then be used to "resum" series to obtain more efficient…

Dynamical Systems · Mathematics 2021-12-08 Inês Aniceto , Daniel Hasenbichler , Christopher J. Howls , Christopher J. Lustri

Soft threshold factorization has been used extensively to study hadronic collisions. It is derived in the limit where the momentum fractions $x_{a,b}$ of both incoming partons approach $x_{a,b}\to 1$. We present a generalized threshold…

High Energy Physics - Phenomenology · Physics 2019-08-06 Gillian Lustermans , Johannes K. L. Michel , Frank J. Tackmann

In this proceeding we consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. At small transverse momentum the logarithmically-enhanced contributions can be organized to all perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-21 Leandro Cieri

Standard QCD resummation techniques provide precise predictions for the spectrum and the cumulant of a given observable. The integrated spectrum and the cumulant differ by higher-order terms which, however, can be numerically significant.…

High Energy Physics - Phenomenology · Physics 2017-04-05 Daniele Bertolini , Mikhail P. Solon , Jonathan R. Walsh

We derive the transverse momentum dependent (TMD) factorization and resummation formula of the unpolarized transverse momentum distribution ($j_T$) for the single hadron production with the thrust axis in electron-positron collision. Two…

High Energy Physics - Phenomenology · Physics 2021-01-07 Zhong-Bo Kang , Ding Yu Shao , Fanyi Zhao

Resummation of large infrared logarithms in perturbation theory can, in certain circumstances, enhance the sensitivity to small gluon momenta and introduce spurious nonperturbative contributions. In particular, different procedures --…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Beneke , V. M. Braun

We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization…

High Energy Physics - Phenomenology · Physics 2015-06-19 Thomas Becher , Xavier Garcia i Tormo

We compute the QCD form factor resumming threshold logarithms in B --> X_c + l + nu_l decays to next-to-leading logarithmic approximation. We present an interpolation formula including soft as well as collinear effects softened by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ugo Aglietti , Leonardo Di Giustino , Giancarlo Ferrera , Alessandro Renzaglia , Giulia Ricciardi , Luca Trentadue

Based on a prior determination of the $\phi$ selfenergy in a nuclear medium we perform a theoretical study of inclusive $\phi$ photoproduction in nuclei, looking at the $A$ dependence of the cross sections for different $\phi$ momenta. We…

Nuclear Theory · Physics 2011-02-09 D. Cabrera , L. Roca , E. Oset , H. Toki , M. J. Vicente Vacas

We discuss the generalisation of high-energy resummation to rapidity distributions to leading logarithmic accuracy. We test our procedure applying it to Higgs production in gluon-gluon fusion both with finite top mass and in the infinite…

High Energy Physics - Phenomenology · Physics 2011-07-01 Simone Marzani , Fabrizio Caola , Stefano Forte

Different decompositions (sum rules) for the proton mass have been proposed in the literature. All of them are related to the energy-momentum tensor in quantum chromodynamics. We review and revisit these decompositions by paying special…

High Energy Physics - Phenomenology · Physics 2021-01-04 Andreas Metz , Barbara Pasquini , Simone Rodini

We explore how the asymptotic structure of a random permutation of $[n]$ with $m$ inversions evolves, as $m$ increases, establishing thresholds for the appearance and disappearance of any classical, consecutive or vincular pattern. The…

Combinatorics · Mathematics 2024-08-13 David Bevan , Dan Threlfall

I give a pedagogical introduction to resummation and power corrections, using the thrust variable in electron-positron annihilation as an example, followed by an discussion of issues of predictability in perturbative QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

By use of the threshold expansion we develop an algorithm for analytical evaluation, within dimensional regularization, of arbitrary terms in the expansion of the (two-loop) sunset diagram with general masses m_1, m_2 and m_3 near its…

High Energy Physics - Phenomenology · Physics 2010-11-15 A. I. Davydychev , V. A. Smirnov

With the advancement of strategies for the precision physics programs for the HL-LHC, FCC-ee, FCC-hh, ILC, CLIC, CEPC, and CPPC, the need for proper control of the attendant theoretical precision tags is manifest. We discuss the role that…

High Energy Physics - Phenomenology · Physics 2023-02-03 B. F. L. Ward , S. Jadach , W. Placzek , M. Skrzypek , Z. Was , S. A. Yost

We describe the resummation of singular distributions at partonic threshold in heavy quark production, generalizing results for Drell-Yan and other electroweak hard-scattering processes.

High Energy Physics - Phenomenology · Physics 2009-10-30 Nikolaos Kidonakis , George Sterman

A method is developed for calculating the jet mass distribution at hadron colliders using an expansion about the kinematic threshold. In particular, we consider the mass distribution of jets of size R produced in association with a hard…

High Energy Physics - Phenomenology · Physics 2013-05-30 Yang-Ting Chien , Randall Kelley , Matthew D. Schwartz , Hua Xing Zhu

We present some results on renormalization and factorization scale dependence of soft-gluon resummation, at the next-to-leading-logarithmic level, in the fixed-target hadro-production cross-section for prompt photons.

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Oleari