Abstract
We present the rapidity distribution of the Higgs boson produced through bottom quark annihilation at third order in QCD using the threshold approximation. We provide a framework, based on the factorization properties of the QCD amplitudes along with Sudakov resummation and the renormalization group invariance, that allows one to perform the computation of the threshold corrections in a consistent, systematic and accurate way. The recent results on threshold N3LO correction in QCD for the Drell-Yan production and on three loop QCD correction to Higgs form factor with bottom anti-bottom quark are used to achieve this task. We also demonstrate the numerical impact of these corrections at the LHC.
Highlights
Ravindranb aRegional Centre for Accelerator-based Particle Physics (RECAPP), Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, Uttar Pradesh, India bThe Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, Chennai 600 113, Tamilnadu, India E-mail: taushif@hri.res.in, mandal@hri.res.in, narayan@hri.res.in, ravindra@imsc.res.in Abstract: We present the rapidity distribution of the Higgs boson produced through bottom quark annihilation at third order in QCD using the threshold approximation
While the theoretical predictions at NNLO and next-to-next-to leading log (NNLL) [29] QCD corrections and of two loop electroweak effects [30,31,32,33,34,35] played an important role in the discovery of the Higgs boson, the theoretical uncertainties resulting from the unphysical factorization and renormalization scales are not fully under control
The differential rapidity distributions are computed for the dilepton pair in DY [63] and the Higgs boson produced through gluon fusion in [64, 65], the Higgs boson through bb annihilation in [66] and associated production of the Higgs with vector boson in [67, 68] to NNLO in QCD
Summary
The interaction of bottom quarks and the Higgs boson is encapsulated in the following action. We study infrared safe differential distribution, namely rapidity distribution of the Higgs boson at hadron colliders, in particular those produced through bottom anti-bottom annihilation. We will set up a framework that can provide threshold corrections to rapidity distribution of the Higgs boson to all orders in perturbation theory. The general frame work that we set up for the computation of threshold corrections beyond leading order in the perturbation theory for such observables is based on the factorization property of the QCD amplitudes. Singularities resulting from soft gluons cancel between virtual and real emission diagrams in infrared safe observables. We present one loop computation for the rapidity distribution in order to demonstrate how the various soft singularities cancel and to give a pedagogical derivation of how the most general resummed threshold correction to the rapidity distribution can be btained
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