Christopher Wever

The pentabox Master Integrals with the Simplified Differential Equations approach

A bstractWe present the calculation of massless two-loop Master Integrals relevant to five-point amplitudes with one off-shell external leg and derive the complete set of planar Master Integrals with five on-mass-shell legs, that contribute to many 2 → 3 amplitudes of interest at the LHC, as for instance three jet production, γ, V, H + 2 jets etc., based on the Simplified Differential Equations approach.

On the reduction of generalized polylogarithms to Lin and Li2,2 and on the evaluation thereof

A bstractWe give expressions for all generalized polylogarithms up to weight four in terms of the functions log, Lin, and Li2,2, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of Lin and Li2,2, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in appendix C.

Two-loop Master Integrals with the Simplified Differential Equations approach

A bstractWe calculate the complete set of two-loop Master Integrals with two off massshell legs with massless internal propagators, that contribute to amplitudes of diboson V1V2 production at the LHC. This is done with the Simplified Differential Equations approach to Master Integrals, which was recently proposed by one of the authors.

Two-loop gg ! Hg amplitude mediated by a nearly massless quark

A bstractWe analytically compute the two-loop scattering amplitude gg → Hg assuming that the mass of the quark, that mediates the ggH interaction, is vanishingly small. Our computation provides an important ingredient required to improve the theoretical description of the top-bottom interference effect in Higgs boson production in gluon fusion, and to elucidate its impact on the Higgs boson transverse momentum distribution.

Top-Bottom Interference Effects in Higgs Plus Jet Production at the LHC

We compute next-to-leading order QCD corrections to the top-bottom interference contribution to H+j production at the LHC. To achieve this, we combine the recent computation of the two-loop amplitudes for gg→Hg and qg→Hq, performed in the approximation of a small b-quark mass, and the numerical calculation of the squared one-loop amplitudes for gg→Hgg and qg→Hqg, performed within OpenLoops. We find that QCD corrections to the interference are large and similar to the QCD corrections to the top-mediated Higgs production cross section. We also observe a significant reduction in the mass-renormalization scheme uncertainty once the next-to-leading order QCD prediction for the interference is employed.

Higgs bosons with large transverse momentum at the LHC.

Abstract We compute the next-to-leading order QCD corrections to the production of Higgs bosons with large transverse momentum p ⊥ ≫ 2 m t at the LHC. To accomplish this, we combine the two-loop amplitudes for processes g g → H g , q g → H q and q q ¯ → H g , recently computed in the approximation of nearly massless top quarks, with the numerical calculation of the squared one-loop amplitudes for g g → H g g , q g → H q g and q q ¯ → H g g processes. The latter computation is performed with OpenLoops . We find that the QCD corrections to the Higgs transverse momentum distribution at very high p ⊥ are large but quite similar to the QCD corrections obtained for point-like Hgg coupling. Our result removes one of the largest sources of theoretical uncertainty in the description of high- p ⊥ Higgs boson production and opens a way to use the high- p ⊥ region to search for physics beyond the Standard Model.

Two-loop amplitudes for processes

A bstractWe compute the two-loop QCD corrections to amplitudes for processes gg → Hg, qg → Hq and qq¯→Hg

and

q\overline{q}\to Hg