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The family of decays mediated by b -> sl+l- transitions provide a rich laboratory to search for effects of physics beyond the Standard Model. In recent years LHCb has found hints of deviations from theoretical predictions both in the rates and angular distributions of such processes. In addition, hints of lepton flavour non-universality have been seen when comparing B+ -> K+ mu+mu- and B+ -> K+ e+e- decay rates, with the so-called RK ratio. Similar observables in different decays, such as RK* = BR(B0 -> K*0mu+mu-)/BR(B0->K*0e+e-), have recently become available and indicate the same anomalous pattern. In this talk, an overview of the latest results in this sector and further avenues to test the effectiveness of lepton flavour universality will be presented.

Local: Sala Jayme Tiomno

Riemann hypothesized that the zeta function ζ(s) has (non-trivial) zeroes only on the line Re(s) = 1/2 in the complex s-plane. Hilbert and Polya suggested that the position of these zeroes might be related to the spectrum of a `Hamiltonian'. It has been known for some time that the statistical properties of the eigenvalue distribution of an ensemble of random matrices resemble those of the zeroes of the zeta function. We construct a unitary matrix models (UMM) for the zeta function, however, our approach to the problem is `piecemeal'. That is, we consider each factor in the Euler product representation of the zeta function to get a UMM for each prime. This suggests a Hamiltonian (of the type proposed by Berry and Keating) from its phase space description. We attempt to combine this to get a matrix model for the full zeta function.

Local: Sala Jayme Tiomno