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We present updated constraints on the free-streaming of warm dark matter(WDM) particles derived from an analysis of the Lya flux power spectrummeasured from high-resolution spectra of 25 z > 4 quasars obtained with theKeck High Resolution Echelle Spectrometer (HIRES) and the Magellan InamoriKyocera Echelle (MIKE) spectrograph. We utilize a new suite of high-resolutionhydrodynamical simulations that explore WDM masses of 1, 2 and 4 keV (assumingthe WDM consists of thermal relics), along with different physically motivatedthermal histories. We carefully address different sources of systematic errorthat may affect our final results and perform an analysis of the Lya flux powerwith conservative error estimates. By using a method that samples themulti-dimensional astrophysical and cosmological parameter space, we obtain alower limit mwdm > 3.3 keV (2sigma) for warm dark matter particles in the formof early decoupled thermal relics. Adding the Sloan Digital Sky Survey (SDSS)Lya flux power spectrum does not improve this limit. Thermal relics of masses 1keV, 2 keV and 2.5 keV are disfavoured by the data at about the 9sigma, 4sigmaand 3sigma C.L., respectively. Our analysis disfavours WDM models where thereis a suppression in the linear matter power spectrum at (non-linear) scalescorresponding to k=10h/Mpc which deviates more than 10% from a LCDM model.Given this limit, the corresponding "free-streaming mass" below which the massfunction may be suppressed is 2x10^8 Msun/h. There is thus very little room fora contribution of the free-streaming of WDM to the solution of what has beentermed the small scale crisis of cold dark matter.

Warm Dark Matter as a solution to the small scale crisis: new constraints from high redshift Lyman-alpha forest data