arXiv subjects

P. L. White

Publications and source records attributed to P. L. White.

15 recordsLinked to original sources

arXiv1996

R-Parity Violation and Quark Flavour Violation

We investigate the implications of $R$-Parity violation (RPV) for quark flavour violation both by constraining the sneutrino masses to be positive and by studying the processes $b\to sγ$ and $K^0-\bar K^0$ mixing. In the latter there are two major contributions, one from ``direct'' one loop diagrams involving RPV couplings, and one from the ``indirect'' contributions generated by the renormalisation group. We compare the effects and discuss the implications of our results.

hep-ph↗

arXiv1996

$R$-Parity Violation and Flavour Violation

The MSSM with $R$-Parity violation allows flavour changing neutral currents through two mechanisms, directly through one loop diagrams, and indirectly through the generation of flavour violation in the sparticle sector. We discuss the use of these mechanisms for constraining $R$-Parity violation, and show that the indirect mechanism parametrised in terms of the running of the soft masses from the unification or Planck scale typically dominates previously calculated effects. We discuss neutrino mass generation, $μ\to eγ$, $b\to sγ$, and $K^0-\bar K^0$ mixing as examples.

hep-ph↗

arXiv1996

R-parity Violation Effects through Soft Supersymmetry Breaking Terms and the Renormalisation Group

We present full renormalisation group equations for the MSSM with R-parity violation, including all soft supersymmetry breaking terms. The inclusion of dimensionless R-parity violating couplings can generate many possible low energy effects through the generation of off-diagonal soft masses violating lepton and quark flavour, and through the generation of lepton-Higgs mixing. We discuss the relation between the weak and unification scale R-parity violation and study the effects on neutrino mass generation and $μ\to eγ$.

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arXiv1996

Higgs Physics at LEP2

In this report we review the prospects for Higgs physics at LEP2. The theoretical aspects and the phenomenology of Higgs particles are discussed within the Standard Model (SM) and the Minimal Supersymmetric Standard Model (MSSM). The experimental search techniques are described and the discovery limits for Higgs bosons in the LEP2 energy range are summarized. In addition, opportunities of detecting Higgs particles in non-minimal extensions of the SM and the MSSM are investigated.

hep-ph↗

arXiv1995

Non-Minimal Supersymmetric Higgs Bosons at LEP2

We discuss the discovery reach of LEP2 for the Higgs sector of a general extension of the MSSM including a single gauge singlet field. This change introduces a new quartic Higgs boson self-coupling which can increase the masses of the CP-even states, and also allows mixing between singlet and non-singlet states which can reduce the couplings of the mass eigenstates to the $Z$. The lightest CP-even Higgs boson is bounded by a parameter $Λ$ which takes a maximum value $Λ_{max}\approx 136-146$ GeV for top mass $150-195$ GeV. We generalise the discussion of the bound to include the entire CP-even spectrum and show how experiment may exclude values of $Λ$ smaller than some $Λ_{min}$. CP-even Higgs boson searches at LEP2 will be able to exclude $Λ_{min}\approx 81-105$ GeV, depending on the machine parameters. We also present exclusion plots in the $m_A-\tanβ$ plane, based on an analysis of CP-even, CP-odd and charged Higgs production processes at LEP2.

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arXiv1995

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.

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arXiv1995

Resolving the Constrained Minimal and Next-to-Minimal Supersymmetric Standard Models

We perform a detailed analysis of the next-to-minimal supersymmetric standard model (NMSSM), imposing the constraints of two-loop gauge coupling unification, universal soft supersymmetry breaking and the correct pattern of electroweak symmetry breaking. We compare our results with those for the minimal supersymmetric standard model (MSSM) using closely related techniques and, as far as possible, a common set of input and output variables. In general, in the constrained NMSSM, there are much stronger correlations between parameters than in the constrained MSSM, and we map out the allowed parameter space. We also give a detailed discussion of how to resolve the two models experimentally, concentrating primarily on the prospects at LEPII.

hep-ph↗

arXiv1995

Cosmology of the Next-to-Minimal Supersymmetric Standard Model

We discuss the domain wall problem in the Next-to-Minimal Supersymmetric Standard Model, with particular attention to the usual solution of explicit breaking of the discrete symmetry by non-renormalisable operators. This ``solution'' leads to a contradiction between the requirements of cosmology and those of avoiding the destabilisation of the hierarchy.

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arXiv1995

On the Cosmological Domain Wall Problem for the Minimally Extended Supersymmetric Standard Model

We study the cosmology of the Supersymmetric Standard Model augmented by a gauge singlet to solve the $μ$-problem and describe the evolution of the domain walls which are created during electroweak symmetry breaking due to the discrete $Z_{3}$ symmetry in this model. The usual assumption, that non-renormalizable terms induced by gravity (which explicitly break this symmetry) may cause the walls to collapse on a cosmologically safe timescale, is reconsidered. Such terms are constrained by considerations of primordial nucleosynthesis, and also by the fact that by not respecting the $Z_{3}$ symmetry they induce divergences which destabilise the hierarchy and reintroduce the $μ$--problem. We find that, even when the Kähler potential is `non-minimal' (i.e. when the hidden sector couples directly to the visible) the model is either ruled out cosmologically or suffers from a naturalness problem.

hep-ph↗

arXiv1995

Baryogenesis from Domain Walls in the Next-to-Minimal Supersymmetric Standard Model

We consider the production of baryon number from collapsing domain walls, and in particular examine the magnitude of CP violation which is required in such schemes. Taking the conventional solution to the domain wall problem in the Next-to-Minimal Supersymmetric Standard Model as an example, we show that the observed baryon assymmetry of the universe may have been generated, even if the initial {\em explicit} CP violation in the Lagrangian were so small ({\em i.e.} gravitational) that it could never be experimentally detected. This is possible by having the {\em explicit} CP violation affect the way in which the walls collapse, rather than be responsible for the generation of baryon number directly. Net baryon number is created at the domain walls by the spontaneous breaking of CP.

hep-ph↗

arXiv1993

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↗

arXiv1993

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↗

arXiv1993

Radiative Corrections to Supersymmetric Higgs Boson Masses

We discuss the large radiative corrections to the masses of supersymmetric Higgs bosons in the MSSM and in its simplest extension, the NMSSM, with particular attention paid to the bounds on the lightest CP-even Higgs mass found in both models. In the case of the MSSM, these corrections are found to be primarily associated with the effects top quark and stop squark loops, while for extended models they also include significant contributions from Higgs and Higgsino loops. (Talk presented at SUSY-93, Boston, March 1993)

hep-ph↗

arXiv1993

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↗

arXiv1992

Discrete Symmetries from Broken $SU(N)$ and the MSSM

In order that discrete symmetries should not be violated by gravitational effects, it is necessary to gauge them. In this paper we discuss the gauging of $\Z_N$ from the breaking of a high energy $SU(N)$ gauge symmetry, and derive consistency conditions for the resulting discrete symmetry fr om the requirement of anomaly cancellation in the parent symmetry. These results are then applied to a detailed analysis of the possible discrete symmetries forbidding proton decay in the minimal supersymmetric standard model.

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