Abstract

Abstract Weak boson fusion is expected to be an important Higgs production channel at the LHC. Complete one-loop results for weak boson fusion in the Standard Model have been obtained by calculating the full virtual electroweak corrections and photon radiation and implementing these results into the public Monte Carlo program VBFNLO (which includes the NLO QCD corrections). Furthermore the dominant supersymmetric one-loop corrections to neutral Higgs production, in the general case where the MSSM includes complex phases, have been calculated. These results have been combined with all one loop corrections of Standard Model type and with the propagator-type corrections from the Higgs sector of the MSSM up to the two-loop level. Within the Standard Model the electroweak corrections are found to be as important as the QCD corrections after the application of appropriate cuts. The corrections yield a shift in the cross section of order 5% for a Higgs of mass 100-200 GeV, confirming the result obtained previously in the literature. For the production of a light Higgs boson in the MSSM the Standard Model result is recovered in the decoupling limit, while the loop contributions from superpartners to the production of neutral MSSM Higgs bosons can give rise to corrections in excess of 10% away from the decoupling region.

Highlights

  • A sizable impact on the production cross section [18]

  • We have evaluated higher-order corrections to weak boson fusion Higgs production at the LHC in the SM and the MSSM

  • Our results have been implemented into the public Monte Carlo program VBFNLO

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Summary

Notations and conventions

The Higgs sector of the MSSM comprises two scalar doublets, resulting in five physical Higgs bosons. The Higgs sector is characterised by two independent input parameters, conventionally chosen as MA and tan β (in the case of CP-violation one usually chooses MH± instead of MA as the input parameter). Higher-order contributions yield large corrections to the masses and couplings, and can induce CP-violation leading to mixing between h, H and A in the case of general complex SUSY-breaking parameters. In the off-diagonal entries of the mass matrix the trilinear couplings Af and the Higgsino mass parameter μ enter, which can be complex. The mass eigenstates of neutralinos and charginos need to be determined from matrix diagonalisation, where the parameters M1 and M2 can be complex. In this work we do not consider corrections due to quark mixing, as these are expected to be small

Types of corrections
Virtual corrections
Higgs propagator corrections
Real corrections
Renormalisation
Numerical results
Comparison with the literature
Total cross sections and distributions
H: Full corrections
Findings
Conclusions

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