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Dimensional regularization is a very important technique to remove the divergence from momentum integrals.

Suppose that you have to calculate a quantity composed of three integrals over k_1, k_2 and k_3 (each one is three dimensional). the integral over k_3 gives ultra violet divergence. Whereas, the remained integrals give finite numbers.

I have some questions:

1) Can we play with these integrals (performing change of variables or calculating one or two of these integrals) before performing dimensional regularization?

2) Can we transform these 3 integrals into one dimensional integrals that is divergent and then do the dimensional regularization?

Thanks in advance.

Best regards.

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# Dimensional regularization

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