Abstract
AbstractWe present the state-of-the-art of the effective field theory computation of the MSSM Higgs mass, improving the existing ones by including extra threshold corrections. We show that, with this approach, the theoretical uncertainty is within 1 GeV in most of the relevant parameter space. We confirm the smaller value of the Higgs mass found in the EFT computations, which implies a slightly heavier SUSY scale. We study the large tan β region, finding that sbottom thresholds might relax the upper bound on the scale of SUSY. We present SusyHD, a fast computer code that computes the Higgs mass and its uncertainty for any SUSY scale, from the TeV to the Planck scale, even in Split SUSY, both in the \( \overline{\mathrm{DR}} \) and in the on-shell schemes. Finally, we apply our results to derive bounds on some well motivated SUSY models, in particular we show how the value of the Higgs mass allows to determine the complete spectrum in minimal gauge mediation.
Highlights
While the scale of supersymmetry may still be low, hopefully within the reach of the LHC run, it is fair to say that our confidence in predicting the new physics scale based on naturalness arguments weakened substantially [5, 6]
We present the state-of-the-art of the effective field theory computation of the Minimal Supersymmetric Standard Model (MSSM) Higgs mass, improving the existing ones by including extra threshold corrections
In this paper we recompute the Higgs mass in the MSSM using the effective field theory (EFT) approach, which allows to systematically resum large logarithms and to have arbitrary big hierarchies in the spectrum, exploiting the mass gap hinted by the largish value of the Higgs mass and the absence of new physics at the LHC
Summary
Whenever a theory presents a gap in its energy spectrum effective field theory techniques become a very powerful tool. The two-loop O(αt2) supersymmetric threshold correction to the quartic coupling can be derived from the corresponding correction to the Higgs mass We derived it under the simplifying assumption of degenerate scalars while the μ parameter and the renormalization scale are left free. It is important to notice that there is a contribution to the matching of the Higgs mass (and the quartic coupling) at the SUSY scale induced by the one-loop contribution of the stops to the wave-function renormalization of the Higgs field, which is instead absent in the O(αtαs) corrections. (2.6) As a cross check we verified analytically that the two-loop O(αtαs) and O(αt2) threshold corrections to the quartic coupling (under the assumption of degenerate scalars) cancel the dependence on the renormalization scale of the Higgs mass at the same order. The contribution of the missing SUSY thresholds to the Higgs mass is estimated to be below 1 GeV even for a spectrum of superparticles as low as 1 TeV, see the section
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