Searching for a leptophobicBboson throughη→π0γγandηʹ→π0γγdecays

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Abstract
The sensitivity of the decaysη→π0γγandηʹ→π0γγto a leptophobicBboson in the sub-GeV mass range is summarised in this work. By adding an explicitB-boson resonance exchange to the dominant Standard Model contribution from vector meson exchanges, and employing experimental measurements of the associated branching ratios, the current constraints on theB-boson massmBand coupling to Standard Model particlesαBare significantly improved. From these constraints and the analysis of the available experimentalγγinvariant mass distribution ofη→π0γγ, we conclude that a B-boson signature in the resonant mass rangemπ0≲mB≲mηis strongly suppressed and would be very difficult to experimentally identified. Theη΄→π0γγdecay is not as powerful as theη→π0γγat constrainingB-boson parameters belowmηbut allow exploring largerB-boson masses. Yet, the task of identifying aB-boson withmB∼mωwould be very challenging.