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Very recently, the Pierre Auger Collaboration reported a $4.5\sigma$correlation between the arrival directions of the highest energy cosmic raysand nearby starburst galaxies. The cosmic rays producing the anisotropy signalhave been proposed to originate in low-luminosity gamma-ray bursts (llGRBs). Onthe basis of the well-justified assumption that at redshift $z<0.3$ the hostmetallicity is a good indicator of the llGRB production rate, we show that theassociation of llGRBs and the starbursts correlating with Auger data isexcluded at the 90% confidence level.

Toward a robust inference method for the likelihood of low-luminosity  gamma-ray bursts to be progenitors of ultrahigh-energy cosmic rays  correlating with starburst galaxies