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We discuss two recent developments of the sector-improved residue subtraction scheme for handling real radiation at NNLO in QCD. We present a new phase space construction which minimizes the number phase space configurations for subtraction…

High Energy Physics - Phenomenology · Physics 2022-09-21 Arnd Behring , Michal Czakon , Rene Poncelet

The coupled Dyson-Schwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a two-loop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation…

High Energy Physics - Phenomenology · Physics 2009-01-14 J. C. R. Bloch

We present a method for the direct extraction of rational contributions to one-loop scattering amplitudes, missed by standard four-dimensional unitarity techniques. We use generalised unitarity in $D=4-2\e$ dimensions to write the loop…

High Energy Physics - Phenomenology · Physics 2009-01-27 S. D. Badger

In this article we present a number of developments within the scheme of Local Analytic Sector Subtraction for infrared divergences in QCD. First, we extend the scheme to deal with next-to-leading-order (NLO) singularities related to…

High Energy Physics - Phenomenology · Physics 2025-03-24 Gloria Bertolotti , Giovanni Limatola , Paolo Torrielli , Sandro Uccirati

Gluon, ghost, and quark propagators are computed in the Schwinger-Dyson formalism. The full set of one-loop and two-loop contributions to the gap equations are evaluated for the first time. A new and efficient method for dealing with…

High Energy Physics - Phenomenology · Physics 2014-09-05 Joseph Meyers , Eric S. Swanson

We introduce a novel construction of a contour deformation within the framework of Loop-Tree Duality for the numerical computation of loop integrals featuring threshold singularities in momentum space. The functional form of our contour…

High Energy Physics - Phenomenology · Physics 2020-11-24 Zeno Capatti , Valentin Hirschi , Dario Kermanschah , Andrea Pelloni , Ben Ruijl

We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

We derive an ABDK-like relation between the one- and two-loop four-graviton amplitudes in N=8 supergravity. Specifically we show that the infrared divergent part of the two-loop amplitude is one-half the square of the one-loop amplitude,…

High Energy Physics - Theory · Physics 2008-11-26 Stephen G. Naculich , Horatiu Nastase , Howard J. Schnitzer

Purpose: The scattering phenomenon creates degrading effects in positron emission tomography (PET) and the corresponding events are rejected conventionally. We have proposed a mathematical model to retrace the original line of response of…

Medical Physics · Physics 2022-04-05 Satyajit Ghosh , Pragya Das

So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of…

High Energy Physics - Phenomenology · Physics 2020-04-22 Christoph Gnendiger , Adrian Signer

We calculate the one-photon loop radiative corrections to virtual pion Compton scattering $\pi^- \gamma^* \to \pi^- \gamma$, that subprocess which determines in the one-photon exchange approximation the pion-nucleus bremsstrahlung reaction…

High Energy Physics - Phenomenology · Physics 2009-02-19 N. Kaiser , J. M. Friedrich

We study one-loop contributions to semi-inclusive deep inelastic scattering in the target fragmentation region for a polarized lepton beam and nucleon target. Complete one-loop results at leading twist are derived, with a particular focus…

High Energy Physics - Phenomenology · Physics 2024-06-06 Kai-Bao Chen , Jian-Ping Ma , Xuan-Bo Tong

It is described how the method of sector decomposition can serve to disentangle overlapping infrared singularities, in particular those occurring in the calculation of the real emission part of e+e- to 2 jets and e+e- to 3 jets at NNLO.

High Energy Physics - Phenomenology · Physics 2009-11-10 G. Heinrich

We describe the details of the calculation of the full colour NNLO QCD corrections to jet production observables at the LHC with antenna subtraction. All relevant matrix elements for the process $pp \to jj$ at NNLO in full colour are…

High Energy Physics - Phenomenology · Physics 2022-10-26 X. Chen , T. Gehrmann , E. W. N. Glover , J. Mo

In this contribution I will review recent developments in the antenna subtraction method for higher-order calculations in QCD. In particular, I will illustrate the definition and applications of generalised antenna functions for final-state…

High Energy Physics - Phenomenology · Physics 2026-03-09 Matteo Marcoli

The antenna subtraction method has achieved remarkable success in various processes relevant to the Large Hadron Collider. In Reference [1], an algorithm was proposed for constructing real-radiation antenna functions for electron-positron…

High Energy Physics - Phenomenology · Physics 2024-02-13 Elliot Fox , Nigel Glover

We calculate the one-loop corrections to a general off-forward deeply-virtual Compton process at leading twist for both parton helicity-dependent and independent cases. We show that the infrared divergences can be factorized entirely into…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Jonathan Osborne

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the…

High Energy Physics - Phenomenology · Physics 2009-04-21 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

The integrand-level methods for the reduction of scattering amplitudes are well-established techniques, which have already proven their effectiveness in several applications at one-loop. In addition to the automation and refinement of tools…

High Energy Physics - Phenomenology · Physics 2012-10-05 P. Mastrolia , E. Mirabella , G. Ossola , T. Peraro , H. van Deurzen

We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function…

High Energy Physics - Theory · Physics 2020-05-28 Clifford Cheung , Grant N. Remmen