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We compute the full set of two-loop Feynman integrals appearing in massless two-loop four-point functions with two off-shell legs with the same invariant mass. These integrals allow to determine the two-loop corrections to the amplitudes…

High Energy Physics - Phenomenology · Physics 2014-06-13 Thomas Gehrmann , Andreas von Manteuffel , Lorenzo Tancredi , Erich Weihs

We construct a specific formalism for calculating the one-loop virtual corrections for standard model processes with an arbitrary number of external legs. The procedure explicitly separates the infrared and ultraviolet divergences…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. T. Giele , E. W. N. Glover

We present the two-loop virtual QCD corrections to the scattering of massless distinct quarks in conventional dimensional regularisation. The structure of the infrared divergences agrees with that predicted by Catani while expressions for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Anastasiou , E. W. N. Glover , C. Oleari , M. E. Tejeda-Yeomans

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid…

High Energy Physics - Phenomenology · Physics 2019-12-25 Greg Jackson

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space. These functions can be obtained through a Fourier transform in the transverse space of the generalized…

High Energy Physics - Phenomenology · Physics 2011-08-08 Cedric Lorce , Barbara Pasquini

The scale evolution of parton distributions is determined by universal splitting functions. As a milestone towards the computation of these functions to four-loop order in QCD, we compute all contributions to the pure-singlet quark-quark…

High Energy Physics - Phenomenology · Physics 2024-12-02 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

The construction of integrands free of infrared and ultraviolet singularities may enable the application of numerical methods to evaluate loop amplitudes that are inaccessible with analytic techniques. At two loops, finite amplitude…

High Energy Physics - Phenomenology · Physics 2025-09-10 Charalampos Anastasiou , Julia Karlen , Roshni Sahoo , George Sterman , Matilde Vicini

The infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension \Gamma, which is a matrix in color space and depends on the momenta and masses of the external partons. It has recently been shown that in…

High Energy Physics - Phenomenology · Physics 2009-11-19 Andrea Ferroglia , Matthias Neubert , Ben D. Pecjak , Li Lin Yang

We study the transverse-momentum spectrum of quarkonium production from single light-parton fragmentation mechanism. In the case of semi-inclusive deep inelastic scattering, we observe that there are two possible initiating processes,…

High Energy Physics - Phenomenology · Physics 2020-10-29 Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

We compute the master integrals required for the calculation of the double-real emission contributions to the matching coefficients of 0-jettiness beam functions at next-to-next-to-next-to-leading order in perturbative QCD. As an…

High Energy Physics - Phenomenology · Physics 2019-10-24 Kirill Melnikov , Robbert Rietkerk , Lorenzo Tancredi , Christopher Wever

We determine, in the antenna subtraction framework for handling infrared divergences in higher order QCD calculations, the real-virtual antenna functions for processes involving the production of a pair of massive quarks by an uncolored…

High Energy Physics - Phenomenology · Physics 2015-06-22 Oliver Dekkers , Werner Bernreuther

We present the calculation of the inclusive jet function for highly energetic heavy quarks at order $\mathcal{O}(\alpha_s^3)$ using boosted Heavy-Quark Effective Theory (bHQET). This jet function describes the effect of collinear radiation…

High Energy Physics - Phenomenology · Physics 2026-01-16 Alberto M. Clavero , Vicent Mateu , Maximilian Stahlhofen

We calculate the light cone wave functions for a virtual photon to split into quark-antiquark states, including for the first time quark masses at one loop accuracy. These wave functions can be used to calculate cross sections for several…

High Energy Physics - Phenomenology · Physics 2022-08-31 G. Beuf , T. Lappi , R. Paatelainen

We present a general formalism based on scattering theory to calculate quantum correlation functions involving several time-dependent current operators. A key ingredient is the causality of the scattering matrix, which allows one to deal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Salo , F. W. J. Hekking , J. P. Pekola

We introduce a method to compute one-loop soft functions for exclusive $N$-jet processes at hadron colliders, allowing for different definitions of the algorithm that determines the jet regions and of the measurements in those regions. In…

High Energy Physics - Phenomenology · Physics 2017-10-10 Daniele Bertolini , Daniel Kolodrubetz , Duff Neill , Piotr Pietrulewicz , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

Nondegenerate four-wave mixing (FWM) process based on a double-$\Lambda$ scheme in hot alkali metal vapor is a versatile tool in quantum state engineering, quantum imaging, and quantum precision measurements. In this Letter, we investigate…

Quantum Physics · Physics 2019-04-15 Wei Liu , Rong Ma , Li Zeng , Zhongzhong Qin , Xiaolong Su

We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone…

High Energy Physics - Phenomenology · Physics 2020-03-17 Robin Brüser , Ze Long Liu , Maximilian Stahlhofen

New physics searches at the LHC or Tevatron typically look for a specific number of hard jets, leptons and photons. To obtain an exclusive N-jet sample, one can measure the event shape "N-jettiness" \tau_N and veto additional undesired jets…

High Energy Physics - Phenomenology · Physics 2011-04-28 Wouter J. Waalewijn

A general problem of $2\rightarrow N_f$ scattering is addressed with all the states being wave packets with arbitrary phases. Depending on these phases, one deals with coherent states in $(3+1)$ D, vortex particles with orbital angular…

High Energy Physics - Phenomenology · Physics 2017-03-13 Dmitry Karlovets

The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Gehrmann , Pier Francesco Monni