let be the 2-loop integral(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \iint d^{k}pd^{k}qF(q,p) [/tex]

where k is the dimension so we regularize it by dimensional regularization

the my idea is the following

i integrate oper ''q' considering p is constant to get [tex] F(p,e^{-1} ) [/tex]

here e is the parameter inside k=4-e

after dimensional regularization over q i have an integral over 'p' , so i apply dimensional regularization again to obtain a regularized value

can this be done ?? i mean can we apply dimensional regularization iteratively over each variable ??

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# Iterated dimensional regularization

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