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 boson through bottom quark annihilation at the LHC up to next-to-next-to-next-to leading order (N 3 LO) plus next-to-next-to-next-to-leading logarithmic (N 3 LL) accuracy. We determine 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 computation of N 3 LO corrections to this production cross-section from all the partonic channels, an accurate matching can be obtained for a consistent predictions at N 3 LO+N 3 LL accuracy 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 sensitivity to renormalization and factorization scales at next-to-next-to leading order (NNLO) matched with next-to-next-to leading logarithm (NNLL). At N 3 LO+N 3 LL, 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.

NNLO QCD⊕QED corrections to Higgs production in bottom quark annihilation

“…In this paper, we make the first attempt to include the QED corrections to the inclusive production to this channel. We expect that these corrections could be comparable to the fixed [45] and resummed [46] results solely from third order in perturbative QCD.…”

“…Recently, for the bottom quark annihilation, complete N 3 LO corrections [43][44][45] have become available. In addition, the resummation of threshold contributions [46] at N 3 LO þ N 3 LL accuracy have also been included.…”

Collinear expansion for color singlet cross sections

“…Progress in QCD perturbation theory has allowed us to venture to predictions at nextto-next-to-next-to leading order (N 3 LO) in the strong coupling constant for select inclusive and differential cross sections at the Large Hadron Collider (LHC) [1][2][3][4][5][6][7][8][9]. Resummation of kinematic limits of cross sections has reached the similarly astounding precision for a multitude of observables [10][11][12][13][14][15][16][17][18]. Nevertheless, the difficulty of describing the scattering of fundamental particles is ever rising with increasing demand for precision and for more complex observables.…”

Higgs production in bottom quark fusion: matching the 4- and 5-flavour schemes to third order in the strong coupling

“…Very recently, a subset of the authors have computed for the first time the next-to-next-to-next-to-leading order (N 3 LO) corrections [7] (for a combination of the N 3 LO cross section with resummation of threshold logarithms, see ref. [8]). In a first part of this paper, we give more details on the structure of the partonic coefficient functions of ref.…”