Reconciling Supersymmetric Grand Unification with $α_s(m_Z)\approx 0.11$

Details Reconciling Supersymmetric Grand Unification with $α_s(m_Z)\approx 0.11$ Reconciling Supersymmetric Grand Unification with $α_s(m_Z)\approx 0.11$

1995-03-16

arxiv.org/abs/hep-ph/9503358v2

Phys.Rev. D53 (1996) 404-412

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, LaTex format for text; epsf.sty needed for including 3 Postscript figures in the text. CHANGES: Comments on dark mat

Scientific paper

10.1103/PhysRevD.53.404

We argue that supersymmetric grand unification of gauge couplings is not incompatible with small $\alpha_s$, even without large GUT-scale corrections, if one relaxes a usual universal gaugino mass assumption. A commonly assumed relation $M_2\simeq m_{\rm gluino}/3$ is in gross contradiction with $\alpha_s\approx 0.11$. Instead, small $\alpha_s$ favors $M_2\gg m_{\rm gluino}$. If this is indeed the case our observation casts doubt on another commonly used relation $M_1\simeq 0.5 M_2$ which originates from the same constraint of a common gaugino mass at the GUT scale. One firm prediction emerging within the small $\alpha_s$ scenario with the unconstrained gaugino masses is the existence of a relatively light gluino below $\sim$ 200\gev.

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