An exactly solvable model for dimension-six Higgs operators and h→γγ

An exactly solvable large N model is constructed which reduces at low energies to the Standard Model plus the dimension-six Higgs-gauge operators g12H†HBμνBμν, g22H†HWμνaWaμν, g1g2H†τaHWμνaBμν, and ϵabcWμaνWνbρWρcμ. All other dimension-six operators are suppressed by powers of 1/N. The Higgs-gauge operators lead to deviations from the Standard Model h→γγ and h→γZ rates. A simple variant of the model can be used to also generate the Higgs-gluon operator g32H†HGμνAGAμν which contributes to the Higgs production rate via gluon fusion.