N${}^3$LO soft-gluon corrections in single-particle-inclusive kinematics and $H^{+}{H}^{-}$ production

Abstract

We calculate the complete soft-gluon corrections for the production of colorless final states through N${}^3$LO in single-particle-inclusive kinematics. We present explicit analytical results and use them to study higher-order QCD corrections for the production of a heavy charged Higgs pair ($H^{+}{H}^{-}$) via quark-antiquark annihilation in the Two-Higgs-Doublet Model at LHC energies. We calculate the NNLO soft-gluon and virtual QCD corrections as well as the N${}^3$LO soft-gluon corrections to the total cross section and the charged-Higgs rapidity distribution. This is the first calculation of complete N${}^3$LO soft-gluon corrections for a process in single-particle-inclusive kinematics, and the results can be applied to other processes with colorless final states.

19 pages, 5 figures, 2 tables; v2 has some additional material and it is the published version

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Cited by in corpus (2)

• Resummation for $s$-channel single-top production
• Higher-order soft and virtual corrections in $pp\to \gamma W$ production at the LHC