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dc.contributor.authorTalbert, Jim
dc.contributor.authorTrott, Michael
dc.date.accessioned2022-02-24T16:06:47Z
dc.date.available2022-02-24T16:06:47Z
dc.date.issued2021-11
dc.date.submitted2021-07-21
dc.identifier.issn1126-6708
dc.identifier.otherjhep11(2021)009
dc.identifier.other17051
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/334428
dc.description.abstract<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3×3 Yukawa matrices <jats:italic>Y</jats:italic> valid when <jats:italic>YY</jats:italic><jats:sup>†</jats:sup> → <jats:italic>U</jats:italic><jats:sup>†</jats:sup><jats:italic>YY</jats:italic><jats:sup>†</jats:sup><jats:italic>U</jats:italic> under global <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathrm{U}{(3)}_{Q_L} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>U</mml:mi> <mml:msub> <mml:mfenced> <mml:mn>3</mml:mn> </mml:mfenced> <mml:msub> <mml:mi>Q</mml:mi> <mml:mi>L</mml:mi> </mml:msub> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> flavour symmetry transformations <jats:italic>U</jats:italic>. The results apply to the Standard Model Effective Field Theory (SMEFT) and its ‘geometric’ realization (geoSMEFT). We thereby complete, in the Dirac flavour sector, the catalogue of geoSMEFT parameters derived at all orders in the <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \sqrt{2\left\langle {H}^{\dagger }H\right\rangle } $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mrow> <mml:mn>2</mml:mn> <mml:mfenced> <mml:mrow> <mml:msup> <mml:mi>H</mml:mi> <mml:mo>†</mml:mo> </mml:msup> <mml:mi>H</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> </mml:msqrt> </mml:math></jats:alternatives></jats:inline-formula><jats:italic>/</jats:italic>Λ expansion. The formalism is basis-independent, and can be applied to models with decoupled ultraviolet flavour dynamics, as well as to models whose infrared dynamics are not minimally flavour violating. We highlight these points with explicit examples and, as a further demonstration of the formalism’s utility, we derive expressions for the renormalization group flow of quark masses, mixings, and CP-violation at all mass dimension and perturbative loop orders in the (geo)SM(EFT) and beyond.</jats:p>
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectRegular Article - Theoretical Physics
dc.subjectQuark Masses and SM Parameters
dc.subjectBeyond Standard Model
dc.subjectEffective Field Theories
dc.titleDirac masses and mixings in the (geo)SM(EFT) and beyond
dc.typeArticle
dc.date.updated2022-02-24T16:06:47Z
prism.issueIdentifier11
prism.publicationNameJournal of High Energy Physics
prism.volume2021
dc.identifier.doi10.17863/CAM.81843
dcterms.dateAccepted2021-10-19
rioxxterms.versionofrecord10.1007/jhep11(2021)009
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.identifier.eissn1029-8479
cam.issuedOnline2021-11-02
dc.identifier.arxiv2107.03951


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