Run 2 LHC data show hints of a new resonance in the diphoton distribution at
an invariant mass of 750 GeV. We analyse the data in terms of a new boson,
extracting information on its properties and exploring theoretical
interpretations. Scenarios covered include a narrow resonance and, as
preliminary indications suggest, a wider resonance. If the width indications
persist, the new particle is likely to belong to a strongly-interacting sector.
We also show how compatibility between Run 1 and Run 2 data is improved by
postulating the existence of an additional heavy particle, whose decays are
possibly related to dark matter.Comment: v2: 45 pages, 12 figures, final. Factor of 2 changed in table 1, 4th
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