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T. Elliott

Publications and source records attributed to T. Elliott.

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Unification Constraints in the Next-to-Minimal Supersymmetric Standard Model

We perform a renormalisation group analysis of the next-to-minimal supersymmetric standard model (NMSSM) based on the following constraints: two-loop gauge coupling unification at a variable scale $M_X$, running the gauge couplings through the low energy thresholds; universal soft supersymmetry breaking parameters; correct electroweak symmetry breaking. The phenomenological implications of our results include a standard model-like Higgs boson of mass in the range 70-140 GeV.

hep-ph

Radiative Corrections to Higgs Boson Masses in the Next-to-Minimal Supersymmetric Standard Model

We perform a systematic study of radiative corrections to the masses of the Higgs bosons in the minimal supersymmetric standard model (MSSM) augmented by a single gauge singlet, the so-called next-to-minimal supersymmetric standard model (NMSSM). Our method is based on the one-loop effective potential and includes effects of top quark, squark, Higgs and Higgsino loops. We discuss the renormalisation group flows of Yukawa couplings and the upper bound on the lightest CP-even neutral Higgs boson mass as a function of the heavier stop mass and top mass. We then give a general discussion of Higgs boson phenomenology including radiative corrections. We survey as much of the parameter space of the Higgs sector of the NMSSM as is practicable, and analyse the full spectrum of Higgs masses and couplings in these regions of parameter space. Characteristic signatures of the NMSSM such as light charged bosons and weakly coupled neutral scalars are discussed, as are the relative sizes of the various radiative corrections. The MSSM is also discussed as a limiting case of the NMSSM for comparison.

hep-ph

Squark Contributions to Higgs Boson Masses in the Next--to--Minimal Supersymmetric Standard Model

Within the context of an effective potential formalism we calculate the contribution to Higgs boson masses in the next--to--minimal supersymmetric standard model from squark loops. We then supplement a previously performed renormalisation group analysis of the Higgs sector of this model with these results in order to determine the shift in the bound on the lightest CP-even Higgs boson mass as a result of squark effects. The improved bound on the lightest neutral CP-even Higgs boson mass, including squark contributions, is $m_h \leq 146 \ \ (139, 149)$ GeV for $m_t = 90 \ \ (140, 190)$ GeV. For $m_t = 190$ GeV squark effects contribute 23 GeV to the bound, with smaller contributions for small $m_t$ values.

hep-ph

Supersymmetric Higgs Bosons at the Limit

We obtain an improved upper bound on the lightest neutral CP-even Higgs boson mass from a low energy renormalisation-group analysis of the Higgs sector of the next-to-minimal supersymmetric standard model. We find $m_h< 145$ GeV for $m_t=90$ GeV, decreasing to $m_h< 123$ GeV for $m_t=180$ GeV. We also discuss the light Higgs spectrum in the region of parameter space close to the upper bound.

hep-ph

Heavy Axions From Strong Broken Horizontal Gauge Symmetry

We study the consequences of the existence and breaking of a Peccei--Quinn symmetry within the context of a dynamical model of electroweak symmetry breaking based on broken gauged flavour symmetries. We perform an estimate of the axion mass by including flavour instanton effects and show that, for low cut--offs, the axion is sufficiently massive to prevent it from being phenomenologically unacceptable. We conclude with an examination of the strong CP problem and show that our axion cannot solve the problem, though we indicate ways in which the model can be extended so that the strong CP problem is solved.

hep-ph