Phenomenology of SU(5) low-energy realizations: the diphoton excess and Higgs flavor violation

Abstract

We discuss different $\mathrm{SU}(5)$ low-energy realizations and illustrate their use with the diphoton excess and Higgs flavor violation, which require new physics at the TeV scale. In particular, we study two scenarios for a $750$ GeV resonance: in the first one the resonance belongs to the adjoint of $\mathrm{SU}(5)$, being either an $\mathrm{SU}(2{)}_{\mathrm{L}}$ singlet or a triplet, while in the second case the signal is due to the CP-even and CP-odd states of a new $\mathrm{SU}(2{)}_{\mathrm{L}}$ Higgs doublet belonging to a ${45}_H$ or a ${70}_H$ representations, giving rise to a two-Higgs doublet model at low energies. We study the fine-tuning needed for the desired members of the multiplets to be light enough, while having the rest at the GUT scale. In these scenarios, the production and decay into photons of the new resonance are mediated by the leptoquarks (LQ) present in these large $\mathrm{SU}(5)$ representations. We analyse the phenomenology of such scenarios, focusing on the most relevant predictions that can help to disentangle the different models, like decays into gauge bosons, Standard Model (SM) fermions and LQs pair production. In the case of the ${45}_H$ (the Georgi-Jarlskog model), we also study the possibility to have Higgs flavor violation. We find that $B_s$ mixing limits (in addition to $\tau \to \mu \gamma$) always imply that $\mathrm{BR}(\mathrm{h}\to \tau \mu ,\mathrm{bs})\lesssim 10^{-5}$.

Minor clarifications and references added, typos corrected, matches published version in NPB

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• Interpreting the 750 GeV digamma excess: a review
• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• Flavor techniques for LFV processes: Higgs decays in a general seesaw model
• Higgs boson decays with lepton flavor violation in the $B-L$ symmetric SSM
• Higgs Quark Flavor Violation: Simplified Models and Status of General Two-Higgs-Doublet Model
• Learning from the New Higgs-like Scalar before It Vanishes