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We present the two-loop virtual amplitudes for heavy-quark pair production in light quark-antiquark annihilation and gluon fusion channels, including full spin and color dependence. We use expansions around kinematical limits and numerical…

High Energy Physics - Phenomenology · Physics 2018-04-18 L. Chen , M. Czakon , R. Poncelet

We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic…

High Energy Physics - Phenomenology · Physics 2021-07-14 Simon Badger , Ekta Chaubey , Heribertus Bayu Hartanto , Robin Marzucca

We present a calculation of the NLO QCD corrections to the loop-induced production of a photon pair through gluon fusion, including massive top quarks at two loops. The two-loop virtual amplitudes are computed via projecting onto a set of…

High Energy Physics - Phenomenology · Physics 2019-12-13 Long Chen , Gudrun Heinrich , Stephan Jahn , Stephen P. Jones , Matthias Kerner , Johannes Schlenk , Hiroshi Yokoya

We present the two-loop virtual QCD corrections to the production of heavy quarks in gluon fusion. The results are exact in the limit when all kinematical invariants are large compared to the mass of the heavy quark up to terms suppressed…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. Czakon , A. Mitov , S. Moch

We compute the next-to-leading order virtual QCD corrections to Higgs pair production via gluon fusion. We present analytic results for the two-loop contributions to the spin-0 and spin-2 form factors in the amplitude. The reducible…

High Energy Physics - Phenomenology · Physics 2016-08-24 Giuseppe Degrassi , Pier Paolo Giardino , Ramona Gröber

In this letter we present the three-loop virtual corrections to the Higgs boson production in the gluon fusion channel where finite top quark mass effects are taken into account. We perform an asymptotic expansion and manage to evaluate…

High Energy Physics - Phenomenology · Physics 2009-09-28 Alexey Pak , Mikhail Rogal , Matthias Steinhauser

We present numerical results for the two-loop virtual amplitude entering the NNLO corrections to Higgs boson production in association with a top quark pair at the LHC, focusing, as a proof of concept of our method, on the part of the…

High Energy Physics - Phenomenology · Physics 2024-05-31 Bakul Agarwal , Gudrun Heinrich , Stephen P. Jones , Matthias Kerner , Sven Yannick Klein , Jannis Lang , Vitaly Magerya , Anton Olsson

Gluon fusion processes like single and double Higgs production exhibit slow convergence and pose severe computational challenges. We show how the top-quark mass dependence of the virtual amplitudes can be reconstructed with a conformal…

High Energy Physics - Phenomenology · Physics 2020-08-27 Joshua Davies , Ramona Gröber , Andreas Maier , Thomas Rauh , Matthias Steinhauser

We present results for the production of a pair of on-shell Z bosons via gluon fusion. This process occurs both through the production and decay of the Higgs boson, and through continuum production where the Z boson couples to a loop of…

High Energy Physics - Phenomenology · Physics 2016-08-09 John M. Campbell , R. Keith Ellis , Michal Czakon , Sebastian Kirchner

We present a leading colour computation of the double virtual contributions to top-quark pair production in association with a jet at a hadron collider at next-to-next-to-leading order in QCD. The finite remainders of the two-loop…

High Energy Physics - Phenomenology · Physics 2026-05-15 Simon Badger , Matteo Becchetti , Colomba Brancaccio , Michał Czakon , Heribertus Bayu Hartanto , Rene Poncelet , Simone Zoia

We compute the top quark contribution to the two-loop amplitude for on-shell $Z$ boson pair production in gluon fusion, $gg \to ZZ$. Exact dependence on the top quark mass is retained. For each phase space point the integral reduction is…

High Energy Physics - Phenomenology · Physics 2023-01-11 Christian Brønnum-Hansen , Chen-Yu Wang

Top quark mass suppressed terms are calculated for the virtual amplitude for Higgs production in gluon fusion at three-loop level, i.e. O(\alpha_s^3). The method of asymptotic expansions in its automated form is used to evaluate the first…

High Energy Physics - Phenomenology · Physics 2009-09-28 Robert V. Harlander , Kemal J. Ozeren

We present the two-loop virtual QCD corrections to the production of heavy quarks in the quark--anti-quark--annihilation channel in the limit when all kinematical invariants are large compared to the mass of the heavy quark. Our result is…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Czakon , A. Mitov , S. Moch

We present a calculation of the NLO QCD corrections to the loop-induced production of a photon pair through gluon fusion, including massive top quarks at two loops, where the two-loop integrals are calculated numerically. Matching the…

High Energy Physics - Phenomenology · Physics 2020-10-14 Long Chen , Gudrun Heinrich , Stephan Jahn , Stephen P. Jones , Matthias Kerner , Johannes Schlenk , Hiroshi Yokoya

We present the result for the two-loop and the one-loop squared 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…

High Energy Physics - Phenomenology · Physics 2009-01-26 G. Chachamis , M. Czakon , D. Eiras

We report on the calculation of virtual processes contributing to the production of a Higgs boson and two jets in hadron-hadron collisions. The coupling of the Higgs boson to gluons, via a virtual loop of top quarks, is treated using an…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. K. Ellis , W. T. Giele , G. Zanderighi

In this thesis, we present recent advances at the precision frontier of higher-order quantum chromodynamics (QCD) calculations. We consider massless two-loop five-point amplitudes, with a particular focus on diphoton-plus-jet production…

High Energy Physics - Phenomenology · Physics 2022-10-14 Ryan Moodie

We propose a novel method for the treatment of top-quark mass effects in the production of $H^{(*)}$, $HH$, $HZ$ and $ZZ$ final states in gluon fusion. We show that it is possible to reconstruct the full top-quark mass dependence of the…

High Energy Physics - Phenomenology · Physics 2018-03-07 Ramona Gröber , Andreas Maier , Thomas Rauh

We present the calculation of the cross section and invariant mass distribution for Higgs boson pair production in gluon fusion at next-to-leading order (NLO) in QCD. Top-quark masses are fully taken into account throughout the calculation.…

High Energy Physics - Phenomenology · Physics 2016-08-02 S. Borowka , N. Greiner , G. Heinrich , S. P. Jones , M. Kerner , J. Schlenk , U. Schubert , T. Zirke

We present a calculation of the next-to-leading order QCD corrections to the production of Higgs boson pairs in gluon fusion keeping the full dependence on the mass of the top quark. The virtual corrections, involving two-loop integrals…

High Energy Physics - Phenomenology · Physics 2016-11-10 Matthias Kerner
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