Eur. Phys. J. C (2014) 74: 3212
https://doi.org/10.1140/epjc/s10052-014-3212-9

Regular Article - Theoretical Physics

The NUHM2 after LHC Run 1

¹ High Energy Physics Group, Blackett Laboratory, Imperial College, Prince Consort Road, London, SW7 2AZ, UK
² Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, IL, 60510, USA
³ Physics Department, University of Illinois at Chicago, Chicago, IL, 60607-7059, USA
⁴ Physics Department, CERN, 1211, Geneva 23, Switzerland
⁵ Antwerp University, 2610, Wilrijk, Belgium
⁶ Theory Group, SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA, 94025-7090, USA
⁷ Theoretical Particle Physics and Cosmology Group, Department of Physics, King’s College London, London, WC2R 2LS, UK
⁸ H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, UK
⁹ Instituto de Física de Cantabria (CSIC-UC), 39005, Santander, Spain
¹⁰ NIKHEF and VU University Amsterdam, Science Park 105, 1098 XG, Amsterdam, The Netherlands
¹¹ William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA
¹² DESY, Notkestraße 85, 22607, Hamburg, Germany

^* e-mail: Sven.Heinemeyer@cern.ch

Received: 2 September 2014
Accepted: 1 December 2014
Published online: 17 December 2014

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, $$m^2_{H_{u,d}}$$, vary independently from the universal soft SUSY-breaking contributions $$m^2_0$$ 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 $$\mathrm{BR}(B_s \rightarrow \mu ^+\mu ^-)$$ 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 $$m^2_{H_u} < m^2_{H_d} < 0$$. The tension present in the CMSSM and NUHM1 between the supersymmetric interpretation of $$(g-2)_\mu $$ and the absence to date of SUSY at the LHC is not significantly alleviated in the NUHM2. We find that the minimum $$\chi ^2 = 32.5$$ with 21 degrees of freedom (dof) in the NUHM2, to be compared with $$\chi ^2/\mathrm{dof} = 35.0/23$$ in the CMSSM, and $$\chi ^2/\mathrm{dof} = 32.7/22$$ 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.