The diphoton invariant mass follows by adding the two photon four-momenta: . Thus
For correlated diphoton mass resolution, at fixed angle, . If the two quoted fractional errors are independent one-standard-deviation uncertainties,
An unknown common energy-scale error would be correlated: with correlation coefficient , the fractional variance is . Fully correlated scale errors give 10%, rather than 7.1%. A mass consistent with a candidate is not by itself evidence establishing its identity.