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What is the highest loop order in standard model scattering computations that still contributes a measurable effect seen in past and present particle collider experiments?

In other words, to which order are loop corrections necessary for accounting for observed high energy physics?

I expect it's order-1 for most computations and order-2 in some rare cases, and not higher. Or are there notable exceptions? What would be a good reference to check this?

Urs Schreiber
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