We present the inclusive Higgs boson cross-section at the LHC with collision energy of 8 TeV. Our predictions are obtained using our publicly available program iHixs which incorporates NNLO QCD corrections and electroweak corrections. We review the convergence of the QCD perturbative expansion at this new energy and examine the impact of finite Higgs width effects. We also study the impact of different parton distribution functions on the cross-section. We present tables with the cross-section values and estimates for their uncertainty due to uncalculated higher orders in the perturbative expansion and parton densities.

We present a new program (iHixs) which computes the inclusive Higgs boson cross-section at hadron colliders. It incorporates QCD corrections through NNLO, real and virtual electroweak corrections, mixed QCD-electroweak corrections, quark-mass effects through NLO in QCD, and finite width effects for the Higgs boson and heavy quarks. iHixs can be used to obtain the most precise cross-section values in fixed order perturbation theory in the Standard Model. In addition, it allows for a consistent evaluation of the cross-section in modified Higgs boson sectors with anomalous Yukawa and electroweak interactions as required in extensions of the Standard Model. iHixs is interfaced with the LHAPDF library and can be used with all available NNLO sets of parton distribution functions.

We evaluate all phase space master integrals which are required for the total cross section of generic 2 → 1 processes at NNLO as a series expansion in the dimensional regulator ǫ. Away from the limit of threshold production, our expansion includes one order higher than what has been available in the literature. At threshold, we provide expressions which are valid to all orders in terms of Γ functions and hypergeometric functions. These results are a necessary ingredient for the renormalization and mass factorization of singularities in 2 → 1 inclusive cross sections at N 3 LO in QCD.

We present a new Fortran library to evaluate all harmonic polylogarithms up to weight four numerically for any complex argument. The algorithm is based on a reduction of harmonic polylogarithms up to weight four to a minimal set of basis functions that are computed numerically using series expansions allowing for fast and reliable numerical results. PACS: 12.38.Bx, Perturbative calculations

The fully differential computation of the hadronic production cross section of a Higgs boson via bottom quarks is presented at NNLO in QCD. Several differential distributions with their corresponding scale uncertainties are presented for the 8 TeV LHC. This is the first application of the method of non-linear mappings for NNLO differential calculations at hadron colliders.• The real (σ R ij→Hk ): Corresponding to the emission of an extra particle k.• The virtual (σ V ij→H ): Corresponding to the emission and re-absorption of a virtual particle.At NNLO there are three separate contributions (see fig. 3):• The double real (σ RR ij→Hkl ): Corresponding to the emission of two particles k and l.• The real-virtual (σ RV ij→Hk ): Corresponding to the emission of one particle k as well as the emission and reabsorption of a virtual particle.• The double virtual (σ V V ij→H ): Corresponding to the emission and re-absorption of two virtual particles.Real and virtual corrections suffer from infra-red as well as ultra-violet divergences. We use conventional dimensional regularization with d = 4 − 2 to regularize such divergences, which then appear as poles in . More specifically ultra-violet divergences present in virtual