Yukawa couplings and masses of non-chiral states for the Standard Model on D6-branes on T6/Z6'

Gabriele Honecker; Joris Vanhoof

doi:10.1007/jhep04(2012)085

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arXiv · 1201.3604

Yukawa couplings and masses of non-chiral states for the Standard Model on D6-branes on T6/Z6'

Gabriele Honecker·Joris Vanhoof

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Abstract

The perturbative leading order open string three-point couplings for the Standard Model with hidden USp(6) on fractional D6-branes on T6/Z6' from arXiv:0806.3039 [hep-th], arXiv:0910.0843 [hep-th] are computed. Physical Yukawa couplings consisting of holomorphic Wilsonian superpotential terms times a non-holomorphic prefactor involving the corresponding classical open string Kaehler 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 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 flat directions. Couplings to the hidden sector and messengers for supersymmetry breaking are briefly discussed.

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Gabriele Honecker, Joris Vanhoof. 2012-03-30. Yukawa couplings and masses of non-chiral states for the Standard Model on D6-branes on T6/Z6'. https://doi.org/10.1007/jhep04(2012)085

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