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In a wino LSP scenario the annihilation cross section of winosgravitationally bound in galaxies can be boosted by a Sommerfeld enhancementfactor which arises due to the ladder of exchanged W bosons between the initialstates. The boost factor obtained can be in the range S ~ 10^4 if the mass isclose to the resonance value of M ~ 4 TeV. In this paper we show that if onetakes into account the Sommerfeld enhancement in the relic abundancecalculation then the correct relic density is obtained for 4 TeV wino mass dueto the enhanced annihilation after their kinetic decoupling. At the same timethe Sommerfeld enhancement in the \chi \chi --> W^+ W^- annihilation channel issufficient to explain the positron flux seen in PAMELA data withoutsignificantly exceeding the observed antiproton signal. We also show that (e^-+ e^+) and gamma ray signals are broadly compatible with the Fermi-LATobservations. In conclusion we show that a 4 TeV wino DM can explain thepositron and antiproton fluxes observed by PAMELA and at the same time give athermal relic abundance of CDM consistent with WMAP observations.

Relic density and PAMELA events in a heavy wino dark matter model with Sommerfeld effect