Problems for superstring models with vacuum expectation values for conjugate sneutrinos

Details Problems for superstring models with vacuum expectation values for conjugate sneutrinos Problems for superstring models with vacuum expectation values for conjugate sneutrinos

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phlb..180...77c&link_type=abstract

Physics Letters B, Volume 180, Issue 1-2, p. 77-82.

Physics

45

Scientific paper

Superstring models compactified on Calabi-Yau manifolds contain two new neutral scalars in each 27 generation of chiral supermultiplets. We consider implications of a vacuum expectation value for one of the neutral scalars, the conjugates neutrino νLc:<0νLc0> --- y. Apart from a coupling from a coupling which generates a Dirac neutrino mass and which must be small [<~ O(10-9)], its only superpotential interaction is with DLdL, so there would be D-d mixing if y ≠ 0. The fact that md is not much less than me or mu then tells us that y <~ O (few TeV). When the four-dimensional gauge group has rank 5, a pseudo-Goldstone boson, aν, arises if y ≠ 0, and the D-d mixing would then induce the decay K --> π + aν at an unacceptable rate. Regardless of the gauge group rank, we show that the combined constraints on D-d mixing, and on the flavour-changing neutral currents it would induce, are sufficient to rule out DLdLcνLc superpotential coupling large enough to produce <0νLc0> ≠ 0. These problems are avoided in models with a rank-5 gauge group and <0νLc0> <~ 40 KeV.
Present address: Department of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA.

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