Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD

Abstract

We present threshold enhanced N${}^3$LO QCD corrections to inclusive Higgs production through bottom anti-bottom annihilation at hadron colliders using threshold resummed cross section. The resummed cross section is obtained using factorization properties and Sudakov resummation of the inclusive cross section. We use the recent results on threshold N${}^3$LO corrections in QCD for Drell-Yan production and three loop QCD corrections to Higgs form factor with bottom anti-bottom quark to achieve this task. This is the first step towards the evaluation of complete N${}^3$LO result. We have numerically demonstrated the importance of such corrections at the LHC.

15 pages, 1 figure

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Cited by in corpus (15)

• Higgs boson gluon-fusion production in N3LO QCD
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• Going beyond Soft plus Virtual
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Threshold enhanced cross sections for colorless productions
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Higgs boson rapidity distribution in bottom annihilation at NNLL and beyond
• Indian Contributions to LHC Theory