Double Higgs boson production at NLO in the high-energy limit: complete analytic results
TL;DR: In this article, the authors compute the NLO virtual corrections to the partonic cross section of $gg\to HH$ in the high energy limit, where the Finite Higgs boson mass effects are taken into account via an expansion which is shown to converge quickly.
Abstract: We compute the NLO virtual corrections to the partonic cross section of $gg\to HH$, in the high energy limit. Finite Higgs boson mass effects are taken into account via an expansion which is shown to converge quickly. We obtain analytic results for the next-to-leading order form factors which can be used to compute the cross section. The method used for the calculation of the (non-planar) master integrals is described in detail and explicit results are presented.
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TL;DR: The precision frontier in collider physics is being pushed at impressive speed, from both the experimental and the theoretical side as discussed by the authors, and the aim of this review is to give an overview of recent developments in precision calculations within the Standard Model of particle physics, in particular in the Higgs sector.
140 citations
TL;DR: In this paper, the authors obtained generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with heavy quark mass.
Abstract: We obtain generalised power series expansions for a family of planar two-loop master integrals relevant for the QCD corrections to Higgs + jet production, with phys- ical heavy-quark mass. This is achieved by defining differential equations along contours connecting two fixed points, and by solving them in terms of one-dimensional generalised power series. The procedure is efficient, and can be repeated in order to reach any point of the kinematic regions. The analytic continuation of the series is straightforward, and we present new results below and above the physical thresholds. The method we use allows to compute the integrals in all kinematic regions with high precision. For example, per- forming a series expansion on a typical contour above the heavy-quark threshold takes on average O(1 second) per integral with worst relative error of O(10−32), on a single CPU core. After the series is found, the numerical evaluation of the integrals in any point of the contour is virtually instant. Our approach is general, and can be applied to Feynman integrals provided that a set of differential equations is available.
118 citations
TL;DR: The calculation of the full next-to-leading order (NLO) QCD corrections to Higgs boson pair production via gluon fusion at the LHC is presented, including the exact top-mass dependence in the two-loop virtual and one-loop real corrections.
Abstract: We present the calculation of the full next-to-leading order (NLO) QCD corrections to Higgs boson pair production via gluon fusion at the LHC, including the exact top-mass dependence in the two-loop virtual and one-loop real corrections. This is the first independent cross-check of the NLO QCD corrections presented in the literature before. Our calculation relies on numerical integrations of Feynman integrals, stabilised with integration-by-parts and a Richardson extrapolation to the narrow width approximation. We present results for the total cross section as well as for the invariant Higgs-pair-mass distribution at the LHC, including for the first time a study of the uncertainty due to the scheme and scale choice for the top mass in the loops.
88 citations
Posted Content•
TL;DR: The proceedings of the 2019 Les Houches workshop on physics at TeV colliders as discussed by the authors dealt with new developments for high precision Standard Model calculations, the sensitivity of parton distribution functions to the experimental inputs, new developments in jet substructure techniques and a detailed examination of gluon fragmentation at the LHC, issues in the theoretical description of the production of Standard Model Higgs bosons and how to relate experimental measurements.
Abstract: This Report summarizes the proceedings of the 2019 Les Houches workshop on Physics at TeV Colliders. Session 1 dealt with (I) new developments for high precision Standard Model calculations, (II) the sensitivity of parton distribution functions to the experimental inputs, (III) new developments in jet substructure techniques and a detailed examination of gluon fragmentation at the LHC, (IV) issues in the theoretical description of the production of Standard Model Higgs bosons and how to relate experimental measurements, and (V) Monte Carlo event generator studies relating to PDF evolution and comparisons of important processes at the LHC.
87 citations
TL;DR: The status of di-Higgs searches and the direct and indirect constraints on the Higgs self-coupling at the LHC are presented, with an overview of the relevant experimental techniques, and covering all the variety of relevant signatures.
Abstract: This document summarises the current theoretical and experimental status of the di-Higgs boson production searches, and of the direct and indirect constraints on the Higgs boson self-coupling, with the wish to serve as a useful guide for the next years. The document discusses the theoretical status, including state-of-the-art predictions for di-Higgs cross sections, developments on the effective field theory approach, and studies on specific new physics scenarios that can show up in the di-Higgs final state. The status of di-Higgs searches and the direct and indirect constraints on the Higgs self-coupling at the LHC are presented, with an overview of the relevant experimental techniques, and covering all the variety of relevant signatures. Finally, the capabilities of future colliders in determining the Higgs self-coupling are addressed, comparing the projected precision that can be obtained in such facilities. The work has started as the proceedings of the Di-Higgs workshop at Colliders, held at Fermilab from the 4th to the 9th of September 2018, but it went beyond the topics discussed at that workshop and included further developments.
83 citations
References
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TL;DR: In this paper, the structure of infrared singularities in on-shell QCD amplitudes at two-loop order is discussed and a general factorization formula that controls all the ϵ-poles of the dimensionally regularized amplitudes is presented.
747 citations
06 Jun 2014
TL;DR: In this article, the authors review the Mathematica package LiteRed, version 1.4, and propose a new package called LiteRed LiteRed, based on the LiteRed algorithm.
Abstract: We review the Mathematica package LiteRed , version 1.4.
502 citations
TL;DR: The C++ version of FIRE is presented — a powerful program performing Feynman integral reduction to master integrals that can be treated as a task to solve a huge system of sparse linear equations with polynomial coefficients.
490 citations
Posted Content•
TL;DR: LiteRed as discussed by the authors performs the heuristic search of the symbolic IBP reduction rules for loop integrals and implements several convenient tools for the search of symmetry relations, construction of the differential equations and dimensional recurrence relations.
Abstract: Mathematica package LiteRed is described. It performs the heuristic search of the symbolic IBP reduction rules for loop integrals. It implements also several convenient tools for the search of the symmetry relations, construction of the differential equations and dimensional recurrence relations.
404 citations
TL;DR: In this article, the authors present the QCD corrections to the gluon-initiated processes in the limit of a heavy top quark in the loops and the Drell-Yan-like pair production of scalar and pseudoscalar Higgs particles.
Abstract: Neutral Higgs-boson-pair production provides the possibility of studying the trilinear Higgs couplings at future high-energy colliders. We present the QCD corrections to the gluon-initiated processes in the limit of a heavy top quark in the loops and the Drell-Yan-like pair production of scalar and pseudoscalar Higgs particles. The pp cross sections are discussed for CERN LHC energies within the standard model and its minimal supersymmetric extension. The QCD corrections are large, enhancing the total cross sections significantly.
375 citations