We consider two classes of supersymmetric models with nonuniversal gaugino masses at M GUT in an attempt to resolve the apparent muon g − 2 anomaly encountered in the Standard Model. We explore two distinct scenarios, one in which all gaugino masses have the same sign at M GUT , and a second case with opposite sign gaugino masses. The sfermion masses in both cases are assumed to be universal at M GUT . We exploit the non universality among gaugino masses to realize large mass splitting between the colored and non-colored sfermions. Thus, the sleptons can have masses in the few hundred GeV range, whereas the colored sparticles turn out to be an order of magnitude or so heavier. In both models the resolution of the muon g − 2 anomaly is compatible, among other things, with a 125 − 126 GeV Higgs boson mass and the WMAP dark matter bounds.

Abstract. Automated techniques for analysis and optimization of finite-precision computations have recently garnered significant interest. Most of these were, however, developed independently. As a consequence, reuse and combination of the techniques is challenging and much of the underlying building blocks have been re-implemented several times, including in our own tools. This paper presents a new framework, called Daisy, which provides in a single tool the main building blocks for accuracy analysis of floating-point and fixed-point computations which have emerged from recent related work. Together with its modular structure and optimization methods, Daisy allows developers to easily recombine, explore and develop new techniques. Daisy's input language, a subset of Scala, and its limited dependencies make it furthermore user-friendly and portable.

We demonstrate that natural supersymmetry is readily realized in the framework of SU (4)c ×SU (2) L ×SU (2) R with nonuniversal gaugino masses. Focusing on ameliorating the little hierarchy problem, we explore the parameter space of this model which yields small fine-tuning measuring parameters (natural supersymmetry) at the electroweak scale (∆ EW ) as well as at high scale (∆ HS ). It is possible to have both ∆ EW and ∆ HS less than 100 in these models, (2% or better fine-tuning), while keeping the light CP-even (Standard Model-like) Higgs mass in the 123-127 GeV range. The light stop quark mass lies in the range 700 GeV < mt 1 < 1500 GeV, and the range for the light stau lepton mass is 900 GeV < mτ 1 < 1300 GeV. The first two family squarks are in the mass range 3000 GeV < mt 1 < 4500 GeV, and for the gluino we find 2500 GeV < mg 1 < 3500 GeV. We do not find any solution with natural supersymmetry which yields significant enhancement for Higgs production and decay in the diphoton channel.

We explore the implications of a 124 − 126 GeV CP-even Higgs boson on the fundamental parameter space and sparticle spectroscopy of the minimal gauge mediated supersymmetry breaking (mGMSB) scenario. The above mass for the Higgs boson yields stringent lower bounds on the sparticle masses in this class of models. The lightest neutralino and stau masses lie close to 1.5 TeV and 800 GeV respectively, while the majority of the sparticle masses are in the several to multi-TeV range. We show that with a single pair of 5 + 5 SU(5) messenger multiplets, the lower limit on the gravitino mass is ∼ 360 eV. This is reduced to about 60 eV if five pairs of 5 + 5 messenger fields are introduced. Non-standard cosmology and non-standard gravitino production mechanisms are required in order to satisfy cosmological observations.

We consider an SO(10) grand unified theory in which the ratio of the SU (2) W and SU (3) c gaugino masses satisfy M 2 /M 3 ≈ 3, which results in the realization of natural supersymmetry. In the MSSM parameter space this relation looks artificial, but in the SO(10) case it results from a field with a designated vacuum expectation value. We consider two models, namely M 1 : M 2 : M 3 = −1/5 : 3 : 1 (Case I), and M 1 : M 2 : M 3 = −5 : 3 : 1 (Case II). Focusing on ameliorating the little hierarchy problem, we explore the parameter space of these models which yield small fine-tuning measuring parameters (natural supersymmetry) at the electroweak scale (∆ EW ) as well as at the high scale (∆ HS ). Although both models allow for the solution of the little hierarchy problem, the predicted sparticle spectra can differ markedly in the two cases. Depending on the ratio of the bino mass to the other gaugino masses, Case I leads to stau lepton masses of around a 100 GeV, while in Case II, the stau slepton masses are in the several TeV range. In Case I, the bino-like neutralino can be as light as 90 GeV, while the gluino is heavier than 2 TeV or so. In Case II, due to gluinobino near degeneracy, the bino cannot be lighter than a TeV or so. Having a light neutralino with sizable bino-higgsino mixture in Case I allows the direct dark matter search experiments to test this class of models.