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The $\beta$-function for Yukawa theory at large $N_f$

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arxiv 1806.06954 v3 pith:L7LL2HJ7 submitted 2018-06-18 hep-ph hep-th

Tommi Alanne , Simone Blasi This is my paper · ORCID
classification hep-phhep-th
keywords betafunctionlargetheoryyukawaanalyticclosedcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the $\beta$-function for a massless Yukawa theory in a closed form at the order $\mathcal{O}(1/N_f)$ in the spirit of the expansion in a large number of flavours $N_f$. We find an analytic expression with a finite radius of convergence, and the first singularity occurs at the coupling value $K=5$.

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    hep-lat 2019-08 conditional novelty 6.0 of 10

    For SU(2) with 24 and 48 Dirac flavors, the lattice gradient-flow coupling matches the perturbative two-loop running at accessible scales and refuses to grow large, which is compatible with a Landau pole but does not ...

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