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The effective energy deposition fractions for the smooth DM background component, as a function of the DM mass, in GeV. Blue (upper) and red (lower) curves denote the e + e − and µ + µ − annihilation channels explored in this study. Red (lower) curve stop at the muon mass, the threshold DM mass for muon production via annihilation.

The effective energy deposition fractions for the smooth DM background component, as a function of the DM mass, in GeV. Blue (upper) and red (lower) curves denote the e + e − and µ + µ − annihilation channels explored in this study. Red (lower) curve stop at the muon mass, the threshold DM mass for muon production via annihilation.

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We compute the bounds on the dark matter (DM) annihilation cross section using the most recent Cosmic Microwave Background measurements from WMAP9, SPT'11 and ACT'10. We consider DM with mass in the MeV-TeV range annihilating 100% into either an e+e- or a mu+mu- pair. We consider a realistic energy deposition model, which includes the dependence on...

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... 50, before reionization starts and the upper limit is chosen to be z max = 1100, when the effect of DM annihilations starts to delay recombination 5 . We have verified that the results obtained with the effective deposition efficiency f eff (m χ ) differ by less than a few percent from those obtained with the full redshift-dependent f (z, m χ ). Fig. 1 shows f eff (m χ ) for DM annihilations into e + e − and µ + µ − , as a function of the DM mass. We note that the effective f eff (m χ ) deposition efficiency is much lower for the χχ → µ + µ − channel due the large fraction of final-state neutrinos, which do not heat the IGM nor contribute to ionization. As noted in Section II, f (z, ...
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... the energy deposited equals the energy injected (f (z, m χ ) = 1) using WMAP9+SPT'11+HST+BAO data sets. Notice that, when including the effective efficiency f eff (m χ ), the χχ → e + e − bounds become less stringent as the DM mass increases compared to those when assuming perfect efficiency (f (z, m χ ) = 1), as expected from the left panel of Fig. 1. Finally, the upper dashed black line illustrates the 95% CL bounds for the µ + µ − channel, with the corresponding f eff (m χ ) function, and using WMAP9+SPT'11+HST+BAO data sets. In this case, the bounds are weaker since ∼ 2/3 of the energy is lost in the form of ...

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