750 GeV dark pion: Cousin of a dark<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>G</mml:mi></mml:math>-parity odd WIMP

Abstract

We point out a potential common origin of the recently observed 750 GeV diphoton resonance and a weakly interacting massive particle (WIMP) candidate. In a dark QCD sector with an unbroken dark $G$ parity, the diphoton resonance could be a dark $G$-even pion, while the WIMP could be the lightest dark $G$-odd pion. Both particles are Standard Model gauge singlets and have the same decay constant. For the dark pion decay constant of around 500 GeV, both the diphoton excess at the LHC and the dark matter thermal abundance can be accommodated in our model. Our model predicts additional dark $G$-even and dark $G$-odd color-octet pions within reach of the 13 TeV LHC runs. For the $5+\overline{5}$ model, compatible with the grand unified theories, the WIMP mass is predicted to be within (613,750) GeV.