Fitting the Higgs to Natural SUSY

TL;DR

This paper performs a comprehensive fit of 2012 LHC Higgs data within various supersymmetric models, revealing bounds on parameters like singlet mixing and pseudoscalar Higgs mass, and exploring effects of loop and tree-level contributions.

Contribution

It introduces a five-parameter fit framework for supersymmetric theories, providing new bounds on Higgs sector parameters and analyzing the impact of loop and tree-level effects on Higgs couplings.

Findings

Bounds on singlet mixing and pseudoscalar Higgs mass mA.

Higgs couplings probe parameter space beyond direct searches.

Decoupling limit consistent with data in certain SUSY scenarios.

Abstract

We present a fit to the 2012 LHC Higgs data in different supersymmetric frameworks using naturalness as a guiding principle. We consider the MSSM and its D-term and F-term extensions that can raise the tree-level Higgs mass. When adding an extra chiral superfield to the MSSM, three parameters are needed determine the tree-level couplings of the lightest Higgs. Two more parameters cover the most relevant loop corrections, that affect the h\gamma\gamma and hgg vertexes. Motivated by this consideration, we present the results of a five parameters fit encompassing a vast class of complete supersymmetric theories. We find meaningful bounds on singlet mixing and on the mass of the pseudoscalar Higgs mA as a function of tan\beta\ in the MSSM. We show that in the (mA, tan\beta) plane, Higgs couplings measurements are probing areas of parameter space currently inaccessible to direct searches. We also consider separately the two cases in which only loop effects or only tree-level effects are sizeable. In the former case we study in detail stops' and charginos' contributions to Higgs couplings, while in the latter we show that the data point to the decoupling limit of the Higgs sector. In a particular realization of the decoupling limit, with an approximate PQ symmetry, we obtain constraints on the heavy scalar Higgs mass in a general type-II Two Higgs Doublet Model.