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 -