Tensor Microwave Background Fluctuations for Large Multipole Order

Abstract

We present approximate formulas for the tensor BB, EE, TT, and TE multipole coefficients for large multipole order l. The error in using the approximate formula for the BB multipole coefficients is less than cosmic variance for l>10. These approximate formulas make various qualitative properties of the calculated multipole coefficients transparent: specifically, they show that, whatever values are chosen for cosmological parameters, the tensor EE multipole coefficients will always be larger than the BB coefficients for all l>15, and that these coefficients will approach each other for l<<100. These approximations also make clear how these multipole coefficients depend on cosmological parameters.

19 pages, 9 figures, accepted for publication in Phys. Rev. D, references and comments on earlier work on the subject added, cosmetic modification of figures

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