The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>a</mml:mi></mml:math>theorem for gauge-Yukawa theories beyond Banks-Zaks fixed point

Abstract

We investigate the $a$ theorem for nonsupersymmetric gauge-Yukawa theories beyond the leading order in perturbation theory. The exploration is first performed in a model-independent manner and then applied to a specific relevant example. Here, a rich fixed point structure appears including the presence of a merging phenomenon between nontrivial fixed points for which the $a$ theorem has not been tested so far.