Consider the Feynman diagram below:
in the case of ϕ4 theory where there is no bare mass: L=12∂μϕ∂μϕ−λ4!ϕ4 the contribution of this diagram is given by: I=−iλ2∫ddk(2π)d1k2+iε typically such integrals are done using Feynman and Schwinger Parameterizations. In this case, however Schwinger parameterization won't work as you will have a completely imaginary exponential. It also appears to be the case that lim which can be done using Schwinger parameterization does not converge onto the same value as I. Thus my question is: what is the most common way to deal with integrals of the form I in QFT ideally using minimal subtraction.
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