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Dimensional regularization is a method of isolating divergencies in scattering amplitudes.

1 vote

The conditions for a shift in a loop momentum to be allowed

As long as the integral is defined, we have $$\int_{-\infty}^\infty dx f(x) = \int_{-\infty}^\infty dx f(x+a) , \qquad a \in {\mathbb R}$$ In dimensional regularization, the loop integrals are all $UV …
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8 votes

Massless integrals in dim-reg

The problem with such an integral is that it is both UV and IR divergent. We therefore need to introduce two regulators (to regulate both divergences). To regulate the UV divergence, we use dimreg. To …
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