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Results tagged with dimensional-regularization
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user 8821
Dimensional regularization is a method of isolating divergencies in scattering amplitudes.
8
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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 …
- 27.7k
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 …
- 27.7k