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In the past years, we have been developing a novel technique, called Four-Dimensional Unsubtraction (FDU) which aims to obtain purely four-dimensional representations of the matrix elements contributing to physical observables. In this…

High Energy Physics - Phenomenology · Physics 2019-11-05 German F. R. Sborlini

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…

High Energy Physics - Phenomenology · Physics 2025-03-20 Federica Devoto , Kirill Melnikov , Raoul Röntsch , Chiara Signorile-Signorile , Davide Maria Tagliabue , Matteo Tresoldi

We present the full two-loop four-graviton amplitudes in N=4,5,6 supergravity. These results were obtained using the double-copy structure of gravity, which follows from the recently conjectured color-kinematics duality in gauge theory. The…

High Energy Physics - Theory · Physics 2015-05-30 C. Boucher-Veronneau , L. J. Dixon

The next-to-leading order (NLO) ($\mathcal{O}(\alpha_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use…

High Energy Physics - Phenomenology · Physics 2020-11-11 Peng Zhang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

Collider processes with identified hadrons in the final state are widely studied in view of determining details of the proton structure and of understanding hadronization. Their theory description requires the introduction of fragmentation…

High Energy Physics - Phenomenology · Physics 2024-08-08 Leonardo Bonino , Thomas Gehrmann , Matteo Marcoli , Robin Schürmann , Giovanni Stagnitto

The virtuality-dependent beam function is a universal ingredient in the resummation for observables probing the virtuality of incoming partons, including N-jettiness and beam thrust. We compute the gluon beam function at two-loop order.…

High Energy Physics - Phenomenology · Physics 2015-06-19 Jonathan Gaunt , Maximilian Stahlhofen , Frank J. Tackmann

We discuss a path toward the generalisation of the nested soft-collinear subtraction scheme to arbitrary $2\rightarrow n$ processes. The scheme is designed to provide an efficient and process-independent procedure to extract and regulate…

High Energy Physics - Phenomenology · Physics 2023-08-24 Chiara Signorile-Signorile , Davide Maria Tagliabue

We extend useful properties of the $H\to\gamma\gamma$ unintegrated dual amplitudes from one- to two-loop level, using the Loop-Tree Duality formalism. In particular, we show that the universality of the functional form -- regardless of the…

High Energy Physics - Phenomenology · Physics 2019-03-27 Felix Driencourt-Mangin , German Rodrigo , German F. R. Sborlini , William J. Torres Bobadilla

We extend the discussion of the recently discovered 'anomaly poles' in QCD Compton scattering. We perform the complete one-loop calculation of the Compton amplitude using momentum transfer $t$ as the regulator of collinear divergences. In…

High Energy Physics - Phenomenology · Physics 2023-07-25 Shohini Bhattacharya , Yoshitaka Hatta , Werner Vogelsang

Loop-tree duality (LTD) allows to express virtual contributions in terms of phase-space integrals, thus leading to a direct mapping with real radiation terms. We review the basis of the method and describe its application to regularize…

High Energy Physics - Phenomenology · Physics 2015-10-19 German F. R. Sborlini , Roger Hernandez-Pinto , German Rodrigo

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values.…

High Energy Physics - Phenomenology · Physics 2012-04-18 Simon Badger , Hjalte Frellesvig , Yang Zhang

We study the first non-planar correction to gluon scattering amplitudes in ${\cal N}=4$ SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of $1/N$ with respect to the leading single…

High Energy Physics - Theory · Physics 2018-09-26 Roy Ben-Israel , Alexander G. Tumanov , Amit Sever

We describe how to compute planar gluon scattering amplitudes at strong coupling in N=4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical string configuration whose boundary…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Juan Maldacena

We use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Kirill Melnikov , Frank Petriello

The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in $\alpha_s$ (NNLO). We propose an algorithm for building antenna functions…

High Energy Physics - Phenomenology · Physics 2024-12-06 Oscar Braun-White , Nigel Glover , Christian T Preuss

We compute the fully differential decay rate of the Standard Model Higgs boson into b-quarks at next-to-next-to-leading order (NNLO) accuracy in alpha_S. We employ a general subtraction scheme developed for the calculation of higher order…

High Energy Physics - Phenomenology · Physics 2016-08-08 Vittorio Del Duca , Claude Duhr , Gabor Somogyi , Francesco Tramontano , Zoltan Trocsanyi

A general subtraction scheme, STRIPPER (SecToR Improved Phase sPacE for real Radiation), is derived for the evaluation of next-to-next-to-leading order (NNLO) QCD contributions from double-real radiation to processes with at least two…

High Energy Physics - Phenomenology · Physics 2011-01-06 M. Czakon

We present a once-subtracted dispersion relation (DR) formalism for the virtual Compton scattering (VCS) process from threshold up to the $\Delta(1232)$ energy region. The formalism aims at extracting the nucleon's electric and magnetic…

High Energy Physics - Phenomenology · Physics 2026-03-11 I. Danilkin , B. Pasquini , M. Ronchi , M. Vanderhaeghen

We report on a recent calculation of the two-loop virtual QCD corrections to the W boson pair production in the quark-anti-quark-annihilation channel in the limit where all kinematical invariants are large compared to the mass of the W…

High Energy Physics - Phenomenology · Physics 2008-12-30 Grigorios Chachamis

We analyze virtual Compton scattering off the nucleon at low energies in a covariant, model-independent formalism. We define a set of invariant functions which, once the irregular nucleon pole terms have been subtracted in a gauge-invariant…

Nuclear Theory · Physics 2008-11-26 D. Drechsel , G. Knoechlein , A. Yu. Korchin , A. Metz , S. Scherer
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