Dirac masses and mixings in the (geo)SM(EFT) and beyond
Abstract We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3×3 Yukawa matrices Y valid when YY † → U † YY † U under global U 3 Q L $$ \mathrm{U}{(3)}_{Q_L} $$ flavour symmetry transformations U. The results apply to the Standard Model Effective...
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2021
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oai:doaj.org-article:f707dcc1f0784d52b1bc06d105811d222021-11-08T11:16:18ZDirac masses and mixings in the (geo)SM(EFT) and beyond10.1007/JHEP11(2021)0091029-8479https://doaj.org/article/f707dcc1f0784d52b1bc06d105811d222021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)009https://doaj.org/toc/1029-8479Abstract We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3×3 Yukawa matrices Y valid when YY † → U † YY † U under global U 3 Q L $$ \mathrm{U}{(3)}_{Q_L} $$ flavour symmetry transformations U. 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 2 H † H $$ \sqrt{2\left\langle {H}^{\dagger }H\right\rangle } $$ /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.Jim TalbertMichael TrottSpringerOpenarticleQuark Masses and SM ParametersBeyond Standard ModelEffective Field TheoriesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-22 (2021) |
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DOAJ |
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DOAJ |
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EN |
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Quark Masses and SM Parameters Beyond Standard Model Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Quark Masses and SM Parameters Beyond Standard Model Effective Field Theories Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Jim Talbert Michael Trott Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| description |
Abstract We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3×3 Yukawa matrices Y valid when YY † → U † YY † U under global U 3 Q L $$ \mathrm{U}{(3)}_{Q_L} $$ flavour symmetry transformations U. 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 2 H † H $$ \sqrt{2\left\langle {H}^{\dagger }H\right\rangle } $$ /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. |
| format |
article |
| author |
Jim Talbert Michael Trott |
| author_facet |
Jim Talbert Michael Trott |
| author_sort |
Jim Talbert |
| title |
Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| title_short |
Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| title_full |
Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| title_fullStr |
Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| title_full_unstemmed |
Dirac masses and mixings in the (geo)SM(EFT) and beyond |
| title_sort |
dirac masses and mixings in the (geo)sm(eft) and beyond |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/f707dcc1f0784d52b1bc06d105811d22 |
| work_keys_str_mv |
AT jimtalbert diracmassesandmixingsinthegeosmeftandbeyond AT michaeltrott diracmassesandmixingsinthegeosmeftandbeyond |
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1718442295471112192 |