I am looking at Appendix A Equation 52 (Loop Integrals and Dimensional Regularization) in Peskin and Schroeder's book.(adsbygoogle = window.adsbygoogle || []).push({});

∫d^{d}k/(2π)^{d}1/(k^{2}- Δ)^{2}= Γ(2-d/2)/(4π)^{2}(1/Δ)^{2-d/2}= (1/4π)^{2}(2/ε - logΔ - γ + log4π)

Can somebody explain how this equation is derived? I would also like to know what the equivalent expression is for integrals of the type 1/(k^{2}- m^{2}) and k^{2}/(k^{2}- m^{2})^{2}. Thanks.

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# A Dimensional Regularization of Feynman Integrals

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