Hello everybody,(adsbygoogle = window.adsbygoogle || []).push({});

I have a short question about the renormalization scale.

For dimensional regularization we introduce a scale μ with mass dimension to preserve the correct mass-dimension for the coupling and so on so that it is independent of the value of d = 4-2ε. But why can that μ have any arbitrary value. Why not just say it is 1 times mass dimension? In dimensional regularization they always do net tell someone much about the scale.

In the subtraction method it is somehow clearer since it appears after regularization only for the renormalization prescription. So for regularization that scale is only needed in the dim.reg. case, not for the subtraction method. Only then for the renormalization procedure it appears also in the approach.

It would be nice if someone can explain the case in dim. reg. and maybe can make a connection between the appearance in both cases (dim. reg. and subtraction ). And maybe someone knows good references to learn more about that arbitrary scales?

Thanks in advance!

Cheers,

Marcel

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# Renormalization scale μ

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