A 2410 j dr J xdxjdy

x fddk nI"x X J (27T)" (_fc2 _ Z92)4 + e/2 '

where

N^S1k-qk^kl/kx + k2 [(47 + §) (fc"A:V + fc"*V) + (47 + l)Jfe"fcV] - k2(k ■ q) [g»*k» + ^V] (47 + ¿) - 7 V + 9uXq"] •

Reduce this numerator by averaging over fc, using (C.9) from Appendix C, and a .iew identity (C.10):

f ddk Wk'^k6 _ [g^V1* 4- g^V* + g"VA] f ddk k4

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