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Three-loop SM beta-functions for matrix Yukawa couplings

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arxiv 1406.7171 v3 pith:RQ6NTJN6 submitted 2014-06-27 hep-ph

Three-loop SM beta-functions for matrix Yukawa couplings

classification hep-ph
keywords yukawabeta-functionsmatrixthree-loopadditionambiguitiesbambacalculation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour structure of the SM. The calculation is carried out in the context of unbroken phase of the SM with the help of the MINCER program in a general linear gauge and cross-checked by means of MATAD/BAMBA codes. In addition, ambiguities in Yukawa matrix beta-functions are studied.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the Renormalization Group in EFTs: On-Shell Bases, Ambiguities, and Divergences

    hep-ph 2025-12 conditional novelty 7.0

    Two-loop RG divergences in on-shell EFT bases are spurious: they vanish when non-minimal source terms are included, leaving only unphysical flavor-rotation flow.

  2. Fixed points of the renormalisation group running of quark and fermion mixing matrices in the Standard Model and beyond

    hep-ph 2026-01 unverdicted novelty 6.0

    Six fixed points exist for the massless one-loop RG running of three-generation fermion mixing matrices, remaining fixed points to all orders via geometric properties of vector fields on the space of mixing matrices.