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A massive neutrino which decays after recombination (t > 10^{13} sec) intorelativistic decay products produces an enhanced integrated Sachs-Wolfe effect,allowing constraints to be placed on such neutrinos from present cosmicmicrowave background anisotropy data. Previous treatments of this problem haveapproximated the decay products as an additional component of the neutrinobackground. This approach violates energy-momentum conservation, and we showthat it leads to serious errors for some neutrino masses and lifetimes. We redothis calculation more accurately, by correctly incorporating the spatialdistribution of the decay products. For low neutrino masses and long lifetimes,we obtain a much smaller distortion in the CMB fluctuation spectrum than haveprevious treatments. We combine these new results with a recent set of CMB datato exclude the mass and lifetime range m_h > 100 eV, \tau > 10^{12} sec. Massesas low as 30 eV are excluded for a narrower range in lifetime.Comment: Revtex, 12 pages, 5 embedded figure

Improved treatment of cosmic microwave background fluctuations induced by a late-decaying massive neutrino