The a theorem for Gauge-Yukawa theories beyond Banks-Zaks

Preprint number: CP3-Origins-2013-3 DNRF90 and DIAS-2013-3
Authors: Oleg Antipin (CP3-Origins & DIAS), Marc Gillioz (CP3-Origins & DIAS), Esben Molgaard (CP3-Origins & DIAS), and Francesco Sannino (CP3-Origins & DIAS)
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We investigate the a theorem for nonsupersymmetric gauge-Yukawa theories to the maximum known order in the relevant perturbative expansion parameters. This leads us to an exploration of the associated function a beyond the Banks-Zaks analysis. Here, a rich fixed point structure appears, including the presence of a Banks-Zaks ultraviolet fixed point and its merging with a higher-order infrared fixed point.