The NUHM2 after LHC Run 1

Abstract

We make a frequentist analysis of the parameter space of the NUHM2, in which the soft supersymmetry (SUSY)-breaking contributions to the masses of the two Higgs multiplets, $m_{H_{u,d}}^2$, vary independently from the universal soft SUSY-breaking contributions $m_0^2$ to the masses of squarks and sleptons. Our analysis uses the MultiNest sampling algorithm with over $4\times {10}^8$ points to sample the NUHM2 parameter space. It includes the ATLAS and CMS Higgs mass measurements as well as the ATLAS search for supersymmetric jets + ${/E}_T$ signals using the full LHC Run 1 data, the measurements of $\mathrm{BR}(B_s\to {\mathit{\mu }}^{+}{\mathit{\mu }}^{-})$ by LHCb and CMS together with other B-physics observables, electroweak precision observables and the XENON100 and LUX searches for spin-independent dark-matter scattering. We find that the preferred regions of the NUHM2 parameter space have negative SUSY-breaking scalar masses squared at the GUT scale for squarks and sleptons, $m_0^2<0$, as well as $m_{H_u}^2<m_{H_d}^2<0$. The tension present in the CMSSM and NUHM1 between the supersymmetric interpretation of ${(g-2)}_{\mathit{\mu }}$ and the absence to date of SUSY at the LHC is not significantly alleviated in the NUHM2. We find that the minimum ${\mathit{\chi }}^2=32.5$ with 21 degrees of freedom (dof) in the NUHM2, to be compared with ${\mathit{\chi }}^2/\mathrm{dof}=35.0/23$ in the CMSSM, and ${\mathit{\chi }}^2/\mathrm{dof}=32.7/22$ in the NUHM1. We find that the one-dimensional likelihood functions for sparticle masses and other observables are similar to those found previously in the CMSSM and NUHM1.