The Hubble parameter H0 still not very well measured. Although the Hubble Key
Project, Chandra and WMAP gave good estimates, the uncertainties remain quite
large. In this brief report, we suggest an original and independent method to
derive a lower limit on H0 using the absorption of very high energy gamma-rays
by the cosmic infrared background. With conservative hypothesis, we obtain
H0>74 km/s/Mpc at the 68% confidence level, which favors the upper end of the
intervals allowed by dedicated experiments.Comment: 7 pages, 3 figures. Version accepted by MNRAS, minor changes, results
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