Finding flavons at colliders

Abstract

We conduct a comprehensive investigation into the flavour phenomenology and collider signatures of flavon of ${\mathcal{Z}}_{\mathrm{N}}\times {\mathcal{Z}}_{\mathrm{M}}$ flavour symmetries for the soft symmetry-breaking scenario and a new symmetry-conserving mechanism at the high-luminosity LHC, high energy LHC, and a 100 TeV hadron collider. The flavour physics of quark and leptonic observables places different bounds on the parameter space of flavons of ${\mathcal{Z}}_{\mathrm{N}}\times {\mathcal{Z}}_{\mathrm{M}}$ flavour symmetries. On the collider side, the decay $t\to ca$ can be probed by the high-luminosity LHC, high energy LHC, and a 100 TeV hadron collider for the ${\mathcal{Z}}_8\times {\mathcal{Z}}_{22}$ flavour symmetry. The inclusive production signatures can be used to probe the flavon of all the ${\mathcal{Z}}_{\mathrm{N}}\times {\mathcal{Z}}_{\mathrm{M}}$ flavour symmetries for the soft symmetry-breaking scenario for a heavy flavon at a 100 TeV collider. Flavons of all the ${\mathcal{Z}}_{\mathrm{N}}\times {\mathcal{Z}}_{\mathrm{M}}$ flavour symmetries can be probed at high energy LHC and a 100 TeV collider for a low mass in the case of soft symmetry-breaking. The di-flavon production is within reach of the high-luminosity LHC, high energy LHC, and a 100 TeV collider only for a light flavon. The 14 TeV high-luminosity LHC can probe only the ${\mathcal{Z}}_2\times {\mathcal{Z}}_5$ and ${\mathcal{Z}}_8\times {\mathcal{Z}}_{22}$ flavour symmetries for a few specific inclusive signatures. The symmetry-conserving scenario remains beyond the detection capabilities of any collider.

66 pages, 31 figures, title slightly changed, accepted version in Phys. Rev. D

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