Abstract
I present higher-order radiative corrections from collinear and soft gluon emission for the associated production of a charged Higgs boson with a $W$ boson. The calculation uses expressions from resummation at next-to-leading-logarithm accuracy. From the resummed cross section I derive analytical formulas at approximate NNLO and N$^3$LO. Total cross sections are presented for the process $b{\bar b} \rightarrow H^- W^+$ at various LHC energies. The transverse-momentum and rapidity distributions of the charged Higgs boson are also calculated.
Highlights
Higgs bosons play a central role in both the Standard Model and in searches for new physics
An important charged Higgs production process at LHC energies is the associated production of a charged Higgs boson with a W boson, which may proceed via the partonic process bb → H−Wþ or bb → HþW−
Mass at 13 TeV energy, they amount to 20% of the approximate NNLO (aNNLO) corrections
Summary
Higgs bosons play a central role in both the Standard Model and in searches for new physics. Radiative corrections, including collinear and soft-gluon corrections, appear at each order in the perturbative expansion of the cross section. Þ ; ð2:8Þ where FLO denotes the overall leading-order factor and the Cðk2Þ are coefficients of the logarithms, and they can be read off by comparing Eq (2.8) with Eq (2.7), e.g. Cð32Þ 1⁄4 8C2F This compact form for the aNNLO corrections will be useful .
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