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Holomorphic Yukawa Couplings in Heterotic String Theory
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We develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these techniques relate to algebraic methods for computing holomorphic Yukawa couplings. We apply our methods to various examples and evaluate the holomorphic Yukawa couplings explicitly as functions of the complex structure moduli. It is shown that the rank of the Yukawa matrix can decrease at specific loci in complex structure moduli space. In particular, we compute the up Yukawa coupling and the singlet-Higgs-lepton trilinear coupling in the heterotic standard model described in arXiv:1404.2767
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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study
Explicit heterotic line bundle models on a Calabi-Yau threefold are fitted to reproduce Standard Model quark and charged lepton masses and CKM mixing.
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