Finite Top Quark Mass Effects Research Articles

Top Quark Mass Effects in Higgs Boson Production at Four-Loop Order: Virtual Corrections

We compute four-loop corrections to the Higgs boson gluon vertex, including finite top quark mass effects. Analytic results are presented which serve as a building block for the next-to-next-to-next-to-leading order corrections to Higgs boson production at the Large Hadron Collider at CERN.

On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model

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 contributions, given by the double-triangle diagrams, are evaluated exactly while the two-loop irreducible diagrams are evaluated by an asymptotic expansion in heavy top quark mass up to and including terms of $\mathcal{O}(1/m_t^8)$. Assuming that the finite top-quark mass effects are of similar size in the entire range of partonic energies we estimate that mass effects can reduce the hadronic cross section by at most $10\%$.

Higgs boson pair production: Top quark mass effects at NLO and NNLO

We compute next-to-next-to-leading order QCD corrections to the gluon-induced production cross section of Higgs boson pairs in the large top quark mass limit using the soft-virtual approximation. In the limit of infinitely-heavy top quark we confirm the results in the literature. We add two more expansion terms in the inverse top quark mass to the Mt→∞ result. Since the 1/Mt expansion converges poorly, we try to improve on it by factorizing the exact leading order cross section. We discuss two ways of doing that and conclude that the finite top quark mass effects shift the cross section at most by about 10% at next-to-leading order and by about 5% at next-to-next-to-leading order.

Renormalization-group improved predictions for Higgs boson production at largepT

We study the next-to-next-to-leading logarithmic order resummation for the large ${p}_{T}$ Higgs boson production at the LHC in the framework of soft-collinear effective theory. We find that the resummation effects reduce the scale uncertainty significantly and decrease the QCD NLO results by about 11% in the large ${p}_{T}$ region. The finite top quark mass effects and the effects of the NNLO singular terms are also discussed.

NNLO Higgs production beyond heavy top limit at LHC

We present the NNLO cross section for the Standard Model Higgs boson production at the CERN Large Hadron Collider (LHC) including finite top quark mass effects. Our calculation is based on the evaluation of the imaginary part of the forward scattering amplitudes which, via the optical theorem, directly leads to the total cross section. We apply the asymptotic expansion in order to obtain correction terms suppressed by the heavy top quark mass. This corrections to the hadronic cross sections are found to be small compared to the scale uncertainty, thus justifying the use of heavy top quark approximation in many published results.

Finite top quark mass effects in NNLO Higgs boson production at LHC

We present next-to-next-to-leading order corrections to the inclusive production of the Higgs bosons at the CERN Large Hadron Collider (LHC) including finite top quark mass effects. Expanding our analytic results for the partonic cross section around the soft limit we find agreement with a very recent publication by Harlander and Ozeren \cite{Harlander:2009mq}.

Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass

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 five terms in the expansion parameter MH2/Mt2. A good convergence is observed almost until MH≈2Mt.