Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs   We study the coupling of MSSM fields to heavy modes through cubic
superpotential interactions in F-theory SU(5) GUTs. The couplings are
calculated by integrating the overlap of two massless and one massive
wavefunctions. The overlap integral receives contributions from only a small
patch around a point of symmetry enhancement thereby allowing the wavefunctions
to be determined locally on flat space, drastically simplifying the
calculation. The cubic coupling between two MSSM fields and one of the massive
coloured Higgs triplets present in SU(5) GUTs is calculated using a local
eight-dimensional SO(12) gauge theory. We find that for the most natural
regions of local parameter space the coupling to the triplet is comparable to
or stronger than in minimal four-dimensional GUTs thereby, for those regions,
reaffirming or strengthening constraints from dimension-five proton decay. We
also identify possible regions in local parameter space where the couplings to
the lightest generations are substantially suppressed compared to minimal
four-dimensional GUTs. We further apply our results and techniques to study
other phenomenologically important operators arising from coupling to heavy
modes. In particular we calculate within a toy model flavour non-universal soft
masses induced by integrating out heavy modes which lead to FCNCs.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat