NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation

Abstract

We present next-to-next-to leading order (NNLO) quantum electrodynamics (QED) corrections to the production of the Higgs boson in bottom quark annihilation at the Large Hadron Collider (LHC) in the five flavor scheme. We have systematically included the NNLO corrections resulting from the interference of quantum chromodynamics (QCD) and QED interactions. We have investigated the infrared (IR) structure of the bottom quark form factor up to two loop level in QED and in QCD$\times$QED using K+G equation. We find that the IR poles in the form factor are controlled by the universal cusp, collinear and soft anomalous dimensions. In addition, we derive the QED as well as QCD$\times$QED contributions to soft distribution function as well as to the ultraviolet renormalization constant of the bottom Yukawa coupling up to second order in strong coupling and fine structure constant. Finally, we report our findings on the numerical impact of the NNLO results from QED and QCD$\times$QED at the LHC energies taking into account the dominant NNLO QCD corrections.

18 pages, 7 figures, 5 tables

References in corpus (15)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• LHAPDF6: parton density access in the LHC precision era
• Higgs boson gluon-fusion production in N3LO QCD
• NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
• Higher-Order threshold effects to inclusive processes in QCD
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Higgs production in association with bottom quarks
• Drell-Yan Production at Threshold to Third Order in QCD
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• The $Hb\bar{b}$ form factor to three loops in QCD
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Two-Loop QCD Corrections to Higgs $\to b+\bar{b}+g$ Amplitude

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