331 models facing new b -> s mu^+ mu^- data

Understand

We investigate how the 331 models face new data on B_{s,d}->mu^+mu^- and B_d->K^*mu^+mu^- taking into account present constraints from Delta F=2 observables, low energy precision measurements, LEP-II and the LHC data.

• In these models new flavour violating interactions of ordinary quarks and leptons are dominated by a new heavy Z^prime gauge boson with the strength of the relevant couplings governed by four new parameters in the quark sector and the parameter beta.
• We study the implications of these models for beta=+-n/sqrt{3} with n=1,2,3.
• The case beta=-sqrt{3} leading to Landau singularities for M_{Z'}approx 4Tev can be ruled out when the present constraints on Z^prime couplings, in particular from LEP-II, are taken into account.