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We present a renormalization-group (RG) improved prediction for $750$ GeVheavy state production recently seen as the diphoton excess at the LHC. Due tothe universality of QCD feature in the threshold region, our result providesreasonable estimate of the K-factor for most existing leading orderpredictions, independent of the specific nature of the resonance. We considerspecifically the spin-$2$ warped Kaluza-Klein graviton model to highlight ourcalculation. We performed soft gluon resummation near threshold atnext-to-next-to-leading logarithmic (NNLL) accuracy together with resummingenhanced corrections from a towers of $\pi^2$ due to analytic continuation. Wefind the resummation effects are significant. When matching our resummed resultto next-to-leading order calculation, we find our improved predictions exceedthe leading fixed-order results by about $56\%$ ($K=1.56$) for the LHC energiesat 13 TeV and 14 TeV, and about $63\%$ ($K=1.63$) for 8 TeV.

RG-improved Prediction for 750 GeV Resonance Production at the LHC