Seminarium "Teoria cząstek elementarnych i kosmologia"

Can higher dimensional operators in an EFT generate gauge anomalies if the renormalizable part of the EFT is anomaly free? When are certain Wilson Coefficients dictated by the global anomalies of the UV sector? These 2 questions, which cover both directions in the relationship between anomalies and Wilson Coefficients, can be answered with similar techniques. First, I will discuss whether dimension-6 operators in SMEFT can induce gauge anomalies. We find a negative answer, contrarily to what was claimed by Cata et al in a recent paper (2011.09976) and therefore I'll discuss why the triangle-diagram computations performed in the aforementioned paper lead to apparent anomalies. In the second half of the talk, I'll show how our techniques elucidate the relation between global anomalies and axion couplings to gauge bosons. We find no such relation for massive chiral gauge fields, while we recover the well-know correspondence for the case of axion couplings to photons and gluons. This allows us to understand better the structure of the most general axion EFT and to clarify what a possible measurement of axion couplings would tell us about the UV theory. The icing on the cake is that this analysis provides us a phenomenological tool to easily detect chiral extensions of the SM.
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