Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD

Abstract

We present the first results on the production of pseudo-scalar through gluon fusion at the LHC to N${}^3$LO in QCD taking into account only soft gluon effects. We have used the effective Lagrangian that describes the coupling of pseudo-scalar with the gluons in the large top quark mass limit. We have used recently available quantities namely the three loop pseudo-scalar form factor and the third order universal soft function in QCD to achieve this. Along with the fixed order results, we also present the process dependent resummation coefficient for threshold resummation to N${}^3$LL in QCD. Phenomenological impact of these threshold N${}^3$LO corrections to pseudo-scalar production at the LHC is presented and their role to reduce the renormalisation scale dependence is demonstrated.

34 pages, 17 figures

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• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
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Cited by in corpus (24)

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• Approximate N${}^3$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN${}^3$LO PDFs
• R-axion at colliders
• Pseudo-scalar Form Factors at Three Loops in QCD
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Towards parton distribution functions with small-$x$ resummation: HELL 2.0
• Cornering pseudoscalar-mediated dark matter with the LHC and cosmology
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• Phenomenology of on-shell Higgs production in the MSSM with complex parameters
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• NNLO QCD Corrections to the Drell-Yan Cross Section in Models of TeV-Scale Gravity
• Impact of Inclusive Electron Ion Collider Data on Collinear Parton Distributions
• Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
• Resummed inclusive cross-section in ADD model at N${}^3$LL+NNLO
• Universal Properties of Pseudoscalar Mediators
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD
• Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO${}_A$+NNLL
• Mixed scalar-pseudoscalar Higgs boson production through next-to-next-to-leading order at the LHC
• Pseudoscalar Higgs boson decay to three parton amplitudes at NNLO to higher orders in the dimensional regulator
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL