English

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

High Energy Physics - Phenomenology 2009-10-28 v2

Abstract

We argue that supersymmetric grand unification of gauge couplings is not incompatible with small αs\alpha_s, even without large GUT-scale corrections, if one relaxes a usual universal gaugino mass assumption. A commonly assumed relation M2mgluino/3M_2\simeq m_{\rm gluino}/3 is in gross contradiction with αs0.11\alpha_s\approx 0.11. Instead, small αs\alpha_s favors M2mgluinoM_2\gg m_{\rm gluino}. If this is indeed the case our observation casts doubt on another commonly used relation M10.5M2M_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 αs\alpha_s scenario with the unconstrained gaugino masses is the existence of a relatively light gluino below \sim 200\gev.

Cite

@article{arxiv.hep-ph/9503358,
  title  = {Reconciling Supersymmetric Grand Unification with $\alpha_s(m_Z)\approx 0.11$},
  author = {L. Roszkowski and M. Shifman},
  journal= {arXiv preprint arXiv:hep-ph/9503358},
  year   = {2009}
}

Comments

18 pages, LaTex format for text; epsf.sty needed for including 3 Postscript figures in the text. CHANGES: Comments on dark matter and non-minimal supergravity (see end of Sec. 2.3) and several references added; also some minor corrections made.