Positivity bounds on Minimal Flavor Violation
| Autor: | Emanuele Gendy, Quentin Bonnefoy, Christophe Grojean |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Yukawa [coupling] High Energy Physics::Lattice standard model 0 [higher-order] QC770-798 01 natural sciences effective field theory High Energy Physics - Phenomenology (hep-ph) flavor: violation: minimal Effective field theory violation: minimal [flavor] Physics Unitarity Cabibbo–Kobayashi–Maskawa matrix new physics Multiplicative function Yukawa potential Effective Field Theories quark: coupling analytic properties High Energy Physics - Phenomenology operator: higher-dimensional higher-dimensional [operator] Nuclear and High Energy Physics violation [flavor] FOS: Physical sciences Context (language use) renormalizable Computer Science::Digital Libraries Theoretical physics operator: dimension: 8 Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences unitarity ddc:530 structure dimension: 8 [operator] 010306 general physics 010308 nuclear & particles physics High Energy Physics::Phenomenology Order (ring theory) Standard Model (mathematical formulation) Automatic Keywords High Energy Physics - Theory (hep-th) CKM matrix Beyond Standard Model coupling: Yukawa coupling [quark] |
| Zdroj: | Journal of high energy physics 04(4), 115 (1-32) (2021). doi:10.1007/JHEP04(2021)115 Journal of High Energy Physics Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-33 (2021) |
| DOI: | 10.48550/arxiv.2011.12855 |
| Popis: | Journal of high energy physics 04(4), 115 (1-32) (2021). doi:10.1007/JHEP04(2021)115 From general analyticity and unitarity requirements on the UV theory, positivity bounds on the Wilson coefficients of the dimension-8 operators composed of 4 fermions and two derivatives appearing in the Standard Model Effective Field Theory have been derived recently. We explore the fate of these bounds in the context of models endowed with a Minimal Flavor Violation (MFV) structure, models in which the flavor structure of higher dimensional operators is inherited from the one already contained in the Yukawa sector of the Standard Model Lagrangian. Our goal is to check whether the general positivity bounds translate onto bounds on the Yukawa coefficients and/or on elements of the CKM matrix. MFV fixes the coefficients of dimension-8 operators up to some multiplicative flavor-blind factors and we find that, in the most generic setup, the freedom left by those unspecified coefficients is enough as not to constrain the parameters of the renormalizable Yukawa sector. On the contrary, the latter shape the allowed region for the former. Requiring said overall coefficients to take natural $ \mathcal{O}(1) $ values could give rise to bounds on the Yukawa couplings. Remarkably, at leading order in an expansion in powers of the Yukawa matrices, no bounds on the CKM entries can be retrieved. Published by SISSA, [Trieste] |
| Databáze: | OpenAIRE |
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