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i'm studing the divergent/convergent behavior of some feynman diagrams that emerge from the study of luttinger liquid. One of this diagrams has a loop inside it and loop-integrals has the following form:

[itex]\int_{-\Lambda}^{+\Lambda}dQ\int d\Omega\frac{1}{(\omega-\Omega)-iv(k-Q)}\frac{1}{\Omega-ivQ}[/itex]

where [itex]\omega[/itex]

and k are total energy and momentum of the incoming fermions and v the Fermi velocity. Could someone help me with the computation of this integral? It would not be hard but i'm blocked. The dQ integral is limited within a window [-L,+L]

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# Complex integral coming from a 1loop diagram

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