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We present the first application of antenna subtraction at next-to-next-to-next-to-leading order (N$^3$LO) in QCD by computing fully differential predictions for two-jet production at electron-positron colliders. We illustrate the structure…

High Energy Physics - Phenomenology · Physics 2025-09-03 Xuan Chen , Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

$N$-jettiness subtractions provide a general approach for performing fully-differential next-to-next-to-leading order (NNLO) calculations. Since they are based on the physical resolution variable $N$-jettiness, $\mathcal{T}_N$, subleading…

High Energy Physics - Phenomenology · Physics 2018-01-31 Ian Moult , Lorena Rothen , Iain W. Stewart , Frank J. Tackmann , Hua Xing Zhu

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

Two semi-analytical approaches to solve the problem of light scattering on nanowire antennas are developed and compared. The derivation is based on the exact solution of the plane wave scattering problem in case of an infinite cylinder. The…

Optics · Physics 2015-05-27 Christian Kremers , Dmitry N. Chigrin

We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gabriel Abelof , Aude Gehrmann-De Ridder , Oliver Dekkers

We calculate the rate for $e^+e^-$ annihilation into four jets at next-to-leading order in perturbative QCD, but omitting terms that are suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors. The…

High Energy Physics - Phenomenology · Physics 2010-11-15 A. Signer , L. Dixon

We perform the integration of all iterated singly-unresolved subtraction terms, as defined in ref. [1], over the two-particle factorized phase space. We also sum over the unresolved parton flavours. The final result can be written as a…

High Energy Physics - Phenomenology · Physics 2011-05-10 Paolo Bolzoni , Gabor Somogyi , Zoltan Trocsanyi

We present a new subtraction scheme for next-to-leading order QCD calculations, where the momentum mapping and the splitting functions have been derived in the context of an improved parton shower formulation. A main advantage of our scheme…

High Energy Physics - Phenomenology · Physics 2011-05-27 Tania Robens , Cheng Han Chung , Michael Kramer

We present the double real radiation corrections to the hadronic $t \bar{t}$ production stemming from partonic processes with fermions only. For this purpose, we extend the NNLO antenna subtraction formalism developed originally for the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Gabriel Abelof , Aude Gehrmann--De Ridder

We discuss the infrared structure of e+e- -> 2 and 3 jets at NNLO in QCD perturbation theory and describe subtraction terms that render the separate parton-level contributions finite. As a first result, we find that the NNLO C_F^2…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover

We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector…

High Energy Physics - Phenomenology · Physics 2017-05-24 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

Fully differential next-to-next-to-leading order calculations require a method to cancel infrared singularities. In a previous publication, I discussed the general setup for the subtraction method at NNLO. In this paper I give all…

High Energy Physics - Phenomenology · Physics 2009-11-10 Stefan Weinzierl

We present a method for calculation of statistical correlations between measured jet observables in high energy collisions. The method is compared to sampling based methods used in the past. The case of measurements of jet rates in $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2017-04-17 Andrii Verbytskyi

We discuss the problems that arise when one wishes to extend the existing general methods of computing radiative corrections to QCD jet cross sections to beyond next-to-leading order. Then we present a subtraction scheme that can be defined…

High Energy Physics - Phenomenology · Physics 2009-04-14 Zoltan Trocsanyi , Gabor Somogyi

In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real…

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

In this paper we present the parton level Monte Carlo program TeVJet, a direct implementation of the dipole subtraction method for calculating jet cross sections in NLO QCD. It has been written so as to allow the inclusion of new processes…

High Energy Physics - Phenomenology · Physics 2008-03-17 Michael H. Seymour , Christopher Tevlin

In this article we illustrate how event weights for jet events can be calculated efficiently at next-to-leading order (NLO) accuracy in QCD. This is a crucial prerequisite for the application of the Matrix Element Method in NLO. We modify…

High Energy Physics - Phenomenology · Physics 2015-09-18 Till Martini , Peter Uwer

The theoretical description of photon production at particle colliders combines direct photon radiation and fragmentation processes, which can not be separated from each other for definitions of photon isolation used in experimental…

High Energy Physics - Phenomenology · Physics 2022-05-06 Thomas Gehrmann , Robin Schürmann

In this talk we discuss an algorithm for the numerical calculation of one-loop QCD amplitudes and present results at next-to-leading order for jet observables in electron-positron annihilation calculated with the above-mentioned method. The…

High Energy Physics - Phenomenology · Physics 2011-12-16 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl

We present an alternative subtraction scheme for the treatment of infrared divergences in NLO QCD calculations. In this scheme, the number of transformations is greatly reduced with respect to the standard subtraction scheme by Catani and…

High Energy Physics - Phenomenology · Physics 2010-01-18 T. Robens , C. H. Chung
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