Beyond Jarlskog: 699 invariants for CP violation in SMEFT

Autor: Bonnefoy, Quentin, Gendy, Emanuele, Grojean, Christophe, Ruderman, Joshua T.
Rok vydání: 2022
Předmět:
Zdroj: Journal of High Energy Physics
Journal of high energy physics 08(8), 032 (2022). doi:10.1007/JHEP08(2022)032
ISSN: 1029-8479
DOI: 10.1007/jhep08(2022)032
Popis: Journal of high energy physics 08(8), 032 (2022). doi:10.1007/JHEP08(2022)032
As SMEFT is a framework of growing importance to analyze high-energy data, understanding its parameter space is crucial. The latter is commonly split into CP-even and CP-odd parts, but this classification is obscured by the fact that CP violation is actually a collective effect that is best captured by considering flavor-invariant combinations of Lagrangian parameters. First we show that fermion rephasing invariance imposes that several coefficients associated to dimension-six operators can never interfere with operators of dimension ≤ 4 and thus cannot appear in any physical observable at $ \mathcal{O} $1/Λ$^{2}$. For those that can, instead, we establish a one-to-one correspondence with CP-odd flavor invariants, all linear with respect to SMEFT coefficients. We explicitly present complete lists of such linear CP-odd invariants, and carefully examine their relationship to CP breaking throughout the parameter space of coefficients of dimension ≤ 4. Requiring that these invariants all vanish, together with the Jarlskog invariant, the strong-CP phase, and the 6 CP-violating dimension-6 bosonic operators, provides 699(+1 + 1 + 6) conditions for CP conservation to hold in any observable at leading order, $ \mathcal{O} $(1/Λ$^{2)}$.
Published by SISSA, [Trieste]
Databáze: OpenAIRE