By Kaustubh Sadanand Agashe
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6 The RG scaling of λt was neglected. 1: Contours of c(m2Z ; µ2 ) =(10, 15, 20, 25, 40, 60) for a MSSM with a messenger particle content of one (5 + ¯ 5). (b) and (d) sgn(µ) = +1. The constraints considered are: (I) me˜R =75 GeV , (II) mχ˜01 + mχ˜02 = 160 GeV, (III) me˜R =85 GeV, and (IV) mχ˜01 + mχ˜02 = 180 GeV. A central value of mtop =175 GeV is assumed. 47 (∼ the ultimate LEP2 limit [63]) are also plotted. 1d for sgn(µ) = +1. The constraints from the present and the ultimate LEP2 limits on the chargino mass are weaker than or comparable to those from the selectron and the neutralino masses and are therefore not shown.
Further, if a gauge-singlet and extra vector-like quintets are introduced to generate the “µ” and “Bµ” terms, the fine tuning required to correctly break the electroweak symmetry is more severe. These fine tunings make it difficult to understand, within the context of these models, how SUSY can provide some understanding of the origin of electroweak symmetry breaking and the scale of the Z and W gauge boson masses. It turns out that in models of gauge mediation with a high messenger scale the fine tuning 22 is not much better than in the case of low messenger scale [34].
To obtain a bound on the Rp coupling, we shall assume that the Rp effects dominate the decay rate. 22) can be used to relate Γ[K + → π + ν ν¯] to Γ[K + → π 0 νe+ ]. The effective Hamiltonian for the neutral pion decay channel arises from the spectator decay of the 33 strange quark. It is 4GF ∗ Hef f = √ VKM sL γ µ uL )(¯ νLi γµ eLi ). 23) So in the limit where the lepton masses can be neglected, λ′ijk 2 2 2 ∗ Γ[K → π νi ν¯i ] VKM j1 VKM j2 . 24) Rk This ratio is valid for i = 1, 2 or 3, since in the massless neutrino and electron approximation, the integrals over phase space in the numerator and denominator cancel.