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Following on from the last dumb question I asked...

Suppose you calculate the tree-level approximation to the elastic scattering of two charged fermions

to find that the result varies as ##\sim 1/t##, where t is the Mandelstam variable describing the squared momentum transfer in the centre of mass frame.

To work out the corresponding cross-section, you integrate the square modulus of this over t with t=0 as one of your limits of integration, so that the result diverges. Why is this not regarded as a problem?