Calculating Width of SM Higgs Two-Photon Channel

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bonaventura2
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Hello!
I would like to know how to calculate the width of the two-photon channel of the SM Higgs. It seems to be quite a tedious calculation with a dimensional regularization to perform. There are two one-loop contributions (leptons and W). Thank you very much in advance for your help!
B.
(cf. questions e and f of the final project p.777 in Peskin and Schroeder)
 

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I had too much trouble dealing with the two-gluon channel to go on to the two-photon decay. I remember that the Higgs Hunter's Guide had some intermediate steps in this calculation, though. Have you made any progress in the last few weeks?