Name: Yan-Qing Ma Date: 01/07/09-06:34:37 PM Z
Here is an example in my recent work:
(**********************************************************)
Install[“LoopTools\LoopTools.exe”];
s = 10.6^2; m = 1.5; \[Mu] = 2 m; dlet = 10; mg = 10^-3;
SetDelta[dlet]
SetMudim[\[Mu]^2]
SetLambda[mg^2]
(**********************************************************)
If the UV divergence is removed, the result is independent of dlet. In
other words, your can choose different dlet to test whether the result
is UV-free.
\[Mu] is the renormalizion scale.
mg: As far as I know, LoopTools would better be used for IR-finite
functions. However, if a function contains two parts, both of which has
IR divergence but their sum is IR-finite, then LoopTools can regularize
them by introducing a mass for massless particle. And the mass is what
one set: mg.