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Dimensional regularization is a method of isolating divergencies in scattering amplitudes.
2
votes
Accepted
Dimensional regularization - Expansion of powers of $\epsilon$ turns into logarithms
The usual way to do it is to write the quantity like $x^\epsilon$. Then use the relation that
$$ x^\epsilon = e^{\epsilon \ln(x)} $$
and then use the usual exponential expansion so that
$$ e^{\ep …
3
votes
Explicit computation of singular part of two-loop sunrise diagram
I do not wish to $\LaTeX$ out all the intermediate steps for these integrations, but if you like I can edit my answer to tell you each step along the way. Having said that, let's get down to business. …