Dirac masses and mixings in the (geo)SM(EFT) and beyond
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Dirac masses and mixings in the (geo)SM(EFT) and beyond. / Talbert, Jim; Trott, Michael.
In: Journal of High Energy Physics, Vol. 2021, No. 11, 009, 02.11.2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Dirac masses and mixings in the (geo)SM(EFT) and beyond
AU - Talbert, Jim
AU - Trott, Michael
PY - 2021/11/2
Y1 - 2021/11/2
N2 - We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3x3 Yukawa matrices Y valid when Y Y dagger -> U dagger Y Y dagger U under global U(3)(QL) 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 root 2 < H dagger H >/Lambda 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.
AB - We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3x3 Yukawa matrices Y valid when Y Y dagger -> U dagger Y Y dagger U under global U(3)(QL) 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 root 2 < H dagger H >/Lambda 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.
KW - Quark Masses and SM Parameters
KW - Beyond Standard Model
KW - Effective Field Theories
KW - QUARK
KW - VIOLATION
U2 - 10.1007/JHEP11(2021)009
DO - 10.1007/JHEP11(2021)009
M3 - Journal article
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 11
M1 - 009
ER -
ID: 284400519