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Towards general scalar-Yukawa renormalisation group equations at three-loop order
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abstract
For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the $\overline{\text{MS}}$ scheme are investigated at three-loop order in perturbation theory. Collecting literature results, general expressions are obtained for field anomalous dimensions, Yukawa interactions, as well as fermion masses. The renormalisation group evolution of scalar quartic, cubic and mass terms is determined up to a few unknown coefficients. The combined results are applied to compute the renormalisation group evolution of the gaugeless Litim-Sannino model.
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Cited by 2 Pith papers
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Constraints on the $O(n)$ model from a negative number of flavors
The paper extends O(n) spectrum constraints to negative n via the O(n)-Sp(n) duality and derives closed-form two-loop anomalous dimensions for all phi^k operators from two known cases.
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Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
Four-loop Standard Model gauge beta functions are confirmed by a direct Feynman-diagram calculation, and four-loop gauge-field anomalous dimensions are computed for the first time.
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