K.J. de Vries (Imperial Coll., London), E.A. Bagnaschi (DESY), O. Buchmueller (Imperial Coll., London), R. Cavanaugh (Fermilab and Illinois U., Chicago), M. Citron (Imperial Coll., London), A. De Roeck (CERN and Antwerp U.), M.J. Dolan (SLAC and Melbourne U.), J.R. Ellis (King’s Coll. London and CERN), H. Flächer (Bristol U.), S. Heinemeyer (Cantabria Inst. of Phys.), G. Isidori (Zurich U.), S. Malik (Imperial Coll., London), J. Marrouche (CERN), D. Martinez Santos (NIKHEF, Amsterdam and Santiago de Compostela U.), K.A. Olive (Minnesota U.), K. Sakurai (King’s Coll. London), G. Weiglein (DESY)
DOI: 10.1140/epjc/s10052-015-3599-y
e-print: arXiv:1504.03260 [hep-ph]
We present a frequentist analysis of the parameter space of the pMSSM10, in which the following ten soft SUSY-breaking parameters are specified independently at the mean scalar top mass scale $M_\mathrm{SUSY}\equiv \sqrt{m_{\tilde{t}1} m{\tilde{t}2}}$: the gaugino masses $M{1,2,3}$, the first-and second-generation squark masses $m_{\tilde{q}1} = m{\tilde{q}2}$, the third-generation squark mass $m{\tilde{q}3}$, a common slepton mass $m{\tilde{\ell }}$ and a common trilinear mixing parameter A, as well as the Higgs mixing parameter $\mu$ , the pseudoscalar Higgs mass $M_A$ and $\tan \beta$ , the ratio of the two Higgs vacuum expectation values. Weuse the ${\tt MultiNest}$ sampling algorithm with $\sim 1.2\times10^9$ points to sample the pMSSM10 parameter space. A dedicated study shows that the sensitivities to strongly interacting sparticle masses of ATLAS and CMS searches for jets, leptons + MET signals depend only weakly on many of the other pMSSM10 parameters. With the aid of the Atom and Scorpion codes, we also implement the LHC searches for electroweakly interacting sparticles and light stops, so as to confront the pMSSM10 parameter space with all relevant SUSY searches. In addition, our analysis includes Higgs mass and rate measurements using the HiggsSignals code, SUSY Higgs exclusion bounds, the measurements of $\mathrm{BR}(B_s \rightarrow \mu ^+\mu^-)$ by LHCb and CMS, other B-physics observables, electroweak precision observables, the cold dark matter density and the XENON100 and LUX searches for spin-independent dark matter scattering, assuming that the cold dark matter is mainly provided by the lightest neutralino $\tilde{\chi }^0_{1}$. We show that the pMSSM10 is able to provide a supersymmetric interpretation of $(g-2)_\mu$, unlike the CMSSM, NUHM1 and NUHM2. As a result, we find (omitting Higgs rates) that the minimum $\chi^2 = 20.5$ with 18 degrees of freedom (d.o.f.) in the pMSSM10, corresponding to a $\chi^2$ probability of 30.8%, to be compared with $\chi^2/\mathrm{d.o.f.} = 32.8/24 \ (31.1/23) \ (30.3/22)$ in the CMSSM (NUHM1) (NUHM2). We display the one-dimensional likelihood functions for sparticle masses, and we show that they may be significantly lighter in the pMSSM10 than in the other models, e.g., the gluino may be as light as $\sim~1250$ GeV at the 68 % CL, and squarks, stops, electroweak gauginos and sleptons may be much lighter than in the CMSSM, NUHM1 and NUHM2. We discuss the discovery potential of future LHC runs, $e^+e^-$ colliders and direct detection experiments.