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Yukawa couplings and masses of non-chiral states for the standard model on D6-branes on \(T^6/\mathbb Z_6'\). (English) Zbl 1348.81371
Summary: The perturbative leading order open string three-point couplings for the Standard Model with hidden \(\mathrm{USp}(6)\) on fractional D6-branes on \(T^6\mathbb Z_6'\) from [F. Gmeiner and the first author, “Millions of standard models on \(\mathbb Z'_6\)?”, ibid. 2008, No. 7, Paper No. 052, 49 p. (2008; doi:10.1088/1126-6708/2008/07/052); Nucl. Phys., B 829, No. 1–2, 225–297 (2010; Zbl 1203.81194)] are computed. Physical Yukawa couplings consisting of holomorphic Wilsonian superpotential terms times a non-holomorphic prefactor involving the corresponding classical open string Kähler metrics are given, and mass terms for all non-chiral matter states are derived. The lepton Yukawa interactions are at leading order flavour diagonal, while the quark sector displays a more intricate pattern of mixings. While \(\mathcal N=2\) supersymmetric sectors acquire masses via only two D6-brane displacements – which also provide the hierarchies between up- and down-type Yukawas within one quark or lepton generation – the remaining vector like states receive masses via perturbative three-point couplings to some Standard Model singlet fields with vevs along at directions.
Couplings to the hidden sector and messengers for supersymmetry breaking are briefly discussed.

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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