Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD

Abstract

We present the results for the associated production of Higgs boson with vector boson computed at threshold N${}^3$LO in QCD. We use the recently available result on the threshold contributions to the inclusive Drell-Yan production cross-section at third order in strong coupling constant. We have implemented it in the publicly available computer package vh@nnlo, thereby obtaining the numerical impact of threshold N${}^3$LO contributions for the first time. We find that the inclusion of such corrections do reduce theoretical uncertainties resulting from the renormalization scale.

14 pages, 3 figures

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• On next to soft threshold corrections to DIS and SIA processes
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• Polarized $q\bar{q}\to Z+$Higgs amplitudes at two loops in QCD: the interplay between vector and axial vector form factors and a pitfall in applying a non-anticommuting ${\gamma }_5$
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• Going beyond Soft plus Virtual
• Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$
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• Threshold enhanced cross sections for colorless productions
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• Soft gluon resummation for gluon fusion $ZH$ production
• Next to Soft Threshold Resummation for $VH$ Production
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL