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A systematic approach is followed in order to identify realistic D-branemodels at toric del Pezzo singularities. Requiring quark and lepton spectrumand Yukawas from D3 branes and massless hypercharge, we are led to Pati-Salamextensions of the Standard Model. Hierarchies of masses, flavour mixings andcontrol of couplings select higher order del Pezzo singularities, minimisingthe Higgs sector prefers toric del Pezzos with dP3 providing the mostsuccessful compromise. Then a supersymmetric local string model is presentedwith the following properties at low energies: (i) the MSSM spectrum plus alocal B-L gauge field or additional Higgs fields depending on the breakingpattern, (ii) a realistic hierarchy of quark and lepton masses and (iii)realistic flavour mixing between quark and lepton families with computable CKMand PMNS matrices, and CP violation consistent with observations. In thisconstruction, kinetic terms are diagonal and under calculational controlsuppressing standard FCNC contributions. Proton decay operators of dimension 4,5, 6 are suppressed, and gauge couplings can unify depending on the breakingscales from string scales at energies in the range 10^{12}-10^{16} GeV,consistent with TeV soft-masses from moduli mediated supersymmetry breaking.The GUT scale model corresponds to D3 branes at dP3 with two copies of thePati-Salam gauge symmetry SU(4)\timesSU(2)R\timesSU(2)L. D-brane instantonsgenerate a non-vanishing mu-term. Right handed sneutrinos can break the B-Lsymmetry and induce a see-saw mechanism of neutrino masses and R-parityviolating operators with observable low-energy implications.

Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity