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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

In this work, we present the extension of an alternative subtraction scheme for next-to-leading order QCD calculations to the case of an arbitrary number of massless final-state partons. The scheme is based on the splitting kernels of an…

High Energy Physics - Phenomenology · Physics 2013-05-29 Cheng Han Chung , Tania Robens

Sector duration optimization (SDO) is a problem arising in treatment planning for stereotactic radiosurgery on Gamma Knife. Given a set of isocenter locations, SDO aims to select collimator size configurations and irradiation times thereof…

Optimization and Control · Mathematics 2022-05-24 Oylum Şeker , Mucahit Cevik , Merve Bodur , Young Lee-Bartlett , Mark Ruschin

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 evaluate the phase-space integrals that arise in double real emission diagrams for semi-inclusive deep-inelastic scattering at next-to-next-to-leading order (NNLO) in QCD. Utilizing the reverse unitarity technique, we convert these…

High Energy Physics - Phenomenology · Physics 2025-03-31 Taushif Ahmed , Saurav Goyal , Syed Mehedi Hasan , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , Andreas Rapakoulias , V. Ravindran

A method for calculating phase-space master integrals for the decay process $1 \to n$ massless partons in QCD using integration-by-parts and differential equations techniques is discussed. The method is based on the appropriate choice of…

High Energy Physics - Phenomenology · Physics 2016-03-23 O. Gituliar

In this publication the construction of an automatic algorithm to subtract infrared divergences in real QCD corrections through the Catani-Seymour dipole subtraction method [arXiv:hep-ph/9605323] is reported. The resulting computer code has…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tanju Gleisberg , Frank Krauss

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

We extend the antenna subtraction method to include initial states containing one hadron at NNLO. We present results for all the necessary subtraction terms, antenna functions, for the master integrals required to integrate them over the…

High Energy Physics - Phenomenology · Physics 2015-05-14 A. Daleo , A. Gehrmann-De Ridder , T. Gehrmann , G. Luisoni

In this communication we will re-examine the widely studied technique of phase space projection. By imposing a time domain constraint (TDC) on the residual noise, we deduce a more general version of the optimal projector, which includes…

Chaotic Dynamics · Physics 2015-06-26 Xiaodong Luo , Jie Zhang , Michael Small

The antenna subtraction method developed originally for the computation of higher order corrections to jet observables from a colourless initial state is extended for hadron collider processes involving a pair of massive particles and jets…

High Energy Physics - Phenomenology · Physics 2015-03-18 Gabriel Abelof , Aude Gehrmann-De Ridder

We suggest improvements for double counting subtraction scheme, which is needed for the consistent treatment of real corrections in the high-energy limit, and apply it to the single photon production at the NLO${}^\star$ approximation of…

High Energy Physics - Phenomenology · Physics 2025-12-01 A. Chernyshev , V. Saleev

We use the antenna subtraction method to isolate the infrared singularities present in QCD scattering amplitudes at next-to-next-to-leading order. In particular, infrared singularities due to double-real radiation and real-virtual radiation…

High Energy Physics - Phenomenology · Physics 2012-09-28 Joao Pires

In this talk we present the extension of the antenna subtraction method to include initial states containing one hadron at NNLO. We sketch the requirements for the different necessary subtraction terms, and we explain how the antenna…

High Energy Physics - Phenomenology · Physics 2010-01-15 Alejandro Daleo , Aude Gehrmann-De Ridder , Thomas Gehrmann , Gionata Luisoni

The inclusive four-particle phase space integral of any $1\to 4$ matrix element in massless QCD contains divergences due to the soft and collinear emission of up to two particles in the final state. We show that any term appearing in this…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , G. Heinrich

We provide a general method to construct local infrared subtraction counterterms for unresolved radiative contributions to differential cross sections, to any order in perturbation theory. We start from the factorised structure of virtual…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

Subtraction schemes provide a systematic way to compute fully-differential cross sections beyond the leading order in the strong coupling constant. These methods make singular real-emission corrections integrable in phase space by the…

High Energy Physics - Phenomenology · Physics 2020-01-29 Vittorio Del Duca , Nicolas Deutschmann , Simone Lionetti

This is a PhD dissertation on the latest numerical quantum estimation schemes as of 2012, submitted to the National University of Singapore. The main content of the thesis focuses on accessing quantum information with informationally…

Quantum Physics · Physics 2013-02-15 Yong Siah Teo

We review standard subtraction, as a method to compute cross sections at NNLO accuracy.

High Energy Physics - Phenomenology · Physics 2009-11-11 Vittorio Del Duca , Gabor Somogyi , Zoltan Trocsanyi

We describe how the nested soft-collinear subtraction scheme [1] can be used to compute the next-to-next-to-leading order (NNLO) QCD corrections to the production of an arbitrary number of gluonic jets in hadron collisions. We show that the…

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