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We provide an analytic solution to the general wavelength integro-differential equation describing the damping of tensor modes of gravitational waves due to free streaming neutrinos in the early universe.
M. Abramowitz and I. Stegun, Handbook of Mathematical Functions National Bureau of Standards, 1964
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A. A. Starobinsky, JETP Lett. 30
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A. H. Guth and S. Y. Pi, Phys. Rev. Lett. 49
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Another discussion of the large Q Q case can be found in: A. Rebhan, Nuc. Phys. B 368
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S. Weinberg, Phys. Rev. D 69
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D. A. Dicus and W. W. Repko, Phys. Rev. D 72
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Y. Watanabe, E. Komatsu, Phys.Rev. D73, 123515 (2006)
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W. Zhao, Y. Zang, T. Xia, arXiv:0905.3223v3 [astro-ph.CO] (2009)
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For another treatment using spherical Bessel functions see: G. Shchedrin, arXiv:1204.1384 [gr-qc]
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S. Kuroyanagi et al., Phys.Rev. D79, 103501 (2009)
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M. Lattanzi et al., Class.Quant.Grav. 27 194008 (2010)
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E. Komatsu et al., Astrophys. J. Suppl. 192
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Kin-Wang Ng, arXiv:1111.0295v3 [astro-ph.CO] (2011)
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