Abstract
We make a frequentist analysis of the parameter space of the CMSSM and NUHM1, using a Markov Chain Monte Carlo (MCMC) with 95 (221) million points to sample the CMSSM (NUHM1) parameter spaces. Our analysis includes the ATLAS search for supersymmetric jets + signals using ∼5/fb of LHC data at 7 TeV, which we apply using PYTHIA and a Delphes implementation that we validate in the relevant parameter regions of the CMSSM and NUHM1. Our analysis also includes the constraint imposed by searches for BR(B s →μ + μ −) by LHCb, CMS, ATLAS and CDF, and the limit on spin-independent dark matter scattering from 225 live days of XENON100 data. We assume M h ∼125 GeV, and use a full set of electroweak precision and other flavour-physics observables, as well as the cold dark matter density constraint. The ATLAS5/fb constraint has relatively limited effects on the 68 and 95 % CL regions in the (m 0,m 1/2) planes of the CMSSM and NUHM1. The new BR(B s →μ + μ −) constraint has greater impacts on these CL regions, and also impacts significantly the 68 and 95 % CL regions in the (M A ,tanβ) planes of both models, reducing the best-fit values of tanβ. The recent XENON100 data eliminate the focus-point region in the CMSSM and affect the 68 and 95 % CL regions in the NUHM1. In combination, these new constraints reduce the best-fit values of m 0,m 1/2 in the CMSSM, and increase the global χ 2 from 31.0 to 32.8, reducing the p-value from 12 % to 8.5 %. In the case of the NUHM1, they have little effect on the best-fit values of m 0,m 1/2, but increase the global χ 2 from 28.9 to 31.3, thereby reducing the p-value from 15 % to 9.1 %.
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Notes
We have made a similar validation analysis for the CMS α T search for jets + events using ∼1/fb of data at 7 TeV [118]. We do not discuss this validation in detail, as it does not contribute to the likelihood function analyzed here, but it does validate a posteriori our previous treatments [1, 2] of the CMS α T analysis. It also indicates that the CMS sensitivity with 5/fb of data at 7 TeV [60, 61] is similar to the ATLAS 5/fb jets + data discussed here.
The different sizes of the error bars, here and in subsequent validation plots, are due to PYTHIA failing for varying numbers of points.
Except that varying μ affects the masses and mixings of third-generation squarks, but the dominant LHC jets + searches are less sensitive to these.
We note in passing that one expects \(\mathcal{A}_{\Delta\varGamma} = +1\) also in these models.
This could also be inferred from Figs. 7 and 9 in [54].
The relic density may also be brought into the WMAP range because the \(\tilde{\chi}^{0}_{1}\) acquires a relatively large higgsino component, another possibility made possible by the variation in μ that is possible in the NUHM1.
We note that the Belle Collaboration has recently reported a new measurement of BR(B u →τν τ ) that is in better agreement with the Standard Model and the classes of supersymmetric models discussed here [122].
We display results for \(m_{\tilde{\chi}^{0}_{1}} \le1~\mathrm{TeV}\) only, because results from XENON100 are not published for larger masses.
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Acknowledgements
The work of O.B., M.C., J.E., J.M., S.N., K.A.O. and K.J.de V. is supported in part by the London Centre for Terauniverse Studies (LCTS), using funding from the European Research Council via the Advanced Investigator Grant 267352. The work of S.H. is supported in part by CICYT (grant FPA 2010–22163-C02-01) and by the Spanish MICINN’s Consolider-Ingenio 2010 Program under grant MultiDark CSD2009-00064. The work of K.A.O. is supported in part by DOE grant DE-FG02-94ER-40823 at the University of Minnesota. We thank Robert Fleischer for discussions.
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Buchmueller, O., Cavanaugh, R., Citron, M. et al. The CMSSM and NUHM1 in light of 7 TeV LHC, B s →μ + μ − and XENON100 data. Eur. Phys. J. C 72, 2243 (2012). https://doi.org/10.1140/epjc/s10052-012-2243-3
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DOI: https://doi.org/10.1140/epjc/s10052-012-2243-3