Resummed prediction for Higgs boson production through b overline{mathrm{b}} annihilation at N3LL

Abstract

We present an accurate theoretical prediction for the production of Higgs bo- son through bottom quark annihilation at the LHC up to next-to-next-to-next-to leading order (N3LO) plus next-to-next-to-next-to-leading logarithmic (N3LL) accuracy. We de- termine the third order perturbative Quantum Chromodynamics (QCD) correction to the process dependent constant in the resummed expression using the three loop bottom quark form factor and third order quark soft distribution function. Thanks to the recent compu- tation of N3LO corrections to this production cross-section from all the partonic channels, an accurate matching can be obtained for a consistent predictions at N3LO+N3LL accu- racy in QCD. We have studied in detail the impact of resummed threshold contributions to inclusive cross-sections at various centre-of-mass energies and also discussed their sensi- tivity to renormalization and factorization scales at next-to-next-to leading order (NNLO) matched with next-to-next-to leading logarithm (NNLL). At N3LO+N3LL, we predict the cross-section for different centre-of-mass energies using the recently available results in [1] as well as study the renormalization scale dependence at the same order.