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Emmanuel Ortiz
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I have to deal with this integral in my work, $$\int_{0}^{\infty} \frac{ k^4 e^{-2F^2k^2} }{ (k-k_0)^2 }dk$$ where ##F^2>0 , k_0>0## Is important to mention that it has a double pole in ##k_0## and as a consequence mathematically doesn’t converge. However I have seen before some methods in Quantum Field Theory to regularise divergent integrals with poles, unfortunally I have not had success in solving it. I’like to solve this integral in some reasonable way, perhaps with a physical argument, restrictions, approximation or under some assumptions. There exist a way to solve this Integral? Please help me.
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