"Holomorphy in the Standard Model Effective Field Theory"

 

 

 

The Standard Model Effective Field Theory (SMEFT) is a model-independent and comprehensive scheme to study deviations from the Standard Theory. The deviations are parametrized as higher dimensional operators (d>4) suppressed by inverse powers of the new physics scale.  The renormalization group evolution (RGE) for the leading (2499) dimension six terms has been recently computed and is required to connect with precision the coefficients at the high and electro-weak scales.

The above procedure is indeed the customary in field theory; nevertheless, it revealed an unexpected feature: The RGE flow respects a form of Holomorphy. We will present this feature and the attempts at its explanation.