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We present the quantum chromodynamics (QCD) corrections for Higgs boson decays to hadronic final states at next-to-next-to-next-to-leading order (N$^3$LO) in the strong coupling constant $\alpha_s$. In particular, we consider the Higgs…

High Energy Physics - Phenomenology · Physics 2023-09-04 Xuan Chen , Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

We study electron-positron annihilations into six jets at the parton level in perturbative Quantum Chromo-Dynamics (QCD), via the elementary processes $e^+e^-\ar q\bar q gggg$, $e^+e^-\ar q\bar q q'\bar q' gg$ and $e^+e^-\ar q\bar q q'\bar…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stefano Moretti

We present an algorithm to evaluate the exact, tree-level matrix elements for multi-parton processes in QCD. We tested this technique, based on the recursive evaluation of the S-matrix, on processes such as gg -> n gluons and q qbar -> n…

High Energy Physics - Phenomenology · Physics 2009-07-09 F. Caravaglios , M. L. Mangano , M. Moretti , R. Pittau

We describe the calculation of the next-to-next-to-leading order (NNLO) QCD corrections to three-jet production and related event shape observables in electron-positron annihilation. Infrared singularities due to double real radiation at…

High Energy Physics - Phenomenology · Physics 2008-12-30 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We compute the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the $\gamma^*\to q\bar q g$ matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop…

High Energy Physics - Phenomenology · Physics 2010-04-06 L. W. Garland , T. Gehrmann , E. W. N. Glover , A. Koukoutsakis , E. Remiddi

The program EERAD3 computes the parton-level QCD contributions to event shapes and jet rates in electron-positron annihilation through to order $\alpha_s^3$. For three-jet production and related observables, this corresponds to…

High Energy Physics - Phenomenology · Physics 2015-06-18 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We calculate the one-loop QCD corrections for the decay of an off-shell vector boson with vector couplings into two pairs of quarks of equal or unequal flavours keeping all orders in the number of colours. These matrix elements are relevant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. W. N. Glover , D. J. Miller

We present in detail a calculation of the next-to-leading order QCD corrections to the process $e^+e^-\to 3$ jets with massive quarks. To isolate the soft and collinear divergencies of the four parton matrix elements, we modify the phase…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Brandenburg , Peter Uwer

We study electron-positron annihilations into six jets at the parton level in perturbative Quantum Chromo-Dynamics. We use helicity amplitude methods. Results are presented for the case of the Durham and Cambridge jet clustering algorithms…

High Energy Physics - Phenomenology · Physics 2009-10-30 Stefano Moretti

The ALPHA algorithm to evaluate the exact, tree-level matrix elements is reviewed in the context of multi-parton processes in QCD. The algorithm is suited for the authomatic calculation of tree-level scattering amplitudes and allows for…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Moretti

The precision of fixed-order calculations on the dihadron production in electron-positron annihilation is paramount for probing QCD factorization and constraining non-perturbative inputs. This paper investigates the QCD corrections to the…

High Energy Physics - Phenomenology · Physics 2025-09-12 Wan-Li Ju , Zhe-Yan Shu , Tong-Zhi Yang , Zhen-Hua Zhang , Hua Xing Zhu

A general method for calculating \NLO cross sections in perturbative QCD is presented. The algorithm is worked out for calculating $N$-jet cross sections in hadron-hadron collisions. The generalization of the scheme to performing…

High Energy Physics - Phenomenology · Physics 2009-10-30 Zoltán Nagy , Zoltán Trócsányi

We compute the quantum chromodynamics (QCD) corrections to the decay of a neutralino to gluinos and partons at next-to-next-to-next-to-leading order (N$^3$LO) in the strong coupling constant $\alpha_s$, integrated separately over the…

High Energy Physics - Phenomenology · Physics 2023-10-23 Xuan Chen , Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto

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 the analytic total cross section of top quark pair production in electron-positron annihilation at next-to-next-to-leading order (NNLO) in Quantum Chromodynamics (QCD). By utilizing the optical theorem, the NNLO corrections are…

High Energy Physics - Phenomenology · Physics 2024-09-10 Long-Bin Chen , Jian Wang , Yefan Wang

We present a complete calculation of the electroweak O(alpha^3 alpha_s) corrections to three-jet production and related event-shape observables at electron--positron colliders. The Z-boson resonance is described within the complex-mass…

High Energy Physics - Phenomenology · Physics 2014-11-20 Ansgar Denner , Stefan Dittmaier , Thomas Gehrmann , Christian Kurz

We compute three-loop QCD corrections to the scattering amplitude of a Higgs boson and three partons interfered with its tree level counterpart. Specifically, we derive our results in the generalized leading color limit. Our results are…

High Energy Physics - Phenomenology · Physics 2025-04-10 Xiang Chen , Xin Guan , Bernhard Mistlberger

The computation of exclusive QCD jet observables at higher orders requires a method for the subtraction of infrared singular configurations arising from multiple radiation of real partons. We present a subtraction scheme relevant for NNLO…

High Energy Physics - Phenomenology · Physics 2011-05-05 A. Gehrmann--De Ridder , T. Gehrmann , E. W. N. Glover

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 report on the analytic calculation of the second-order QCD corrections to semi-inclusive hadron production in electron-positron annihilation. The calculation of the single-particle inclusive cross-section in time-like kinematics is…

High Energy Physics - Phenomenology · Physics 2014-12-22 Alexander Mitov , Sven-Olaf Moch
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