Abstract
Abstract We calculate the order λ, λ2 and λy 2 terms of the 59 × 59 one-loop anomalous dimension matrix of dimension-six operators, where λ and y are the Standard Model Higgs self-coupling and a generic Yukawa coupling, respectively. The dimension-six operators modify the running of the Standard Model parameters themselves, and we compute the complete one-loop result for this. We discuss how there is mixing between operators for which no direct one-particle-irreducible diagram exists, due to operator replacements by the equations of motion.
Highlights
The conservation of baryon number), and reduced the set of operators from those of the earlier work ref. [3] by using the classical equations of motion to eliminate a few redundant operators
The dimension-six operators modify the running of the Standard Model parameters themselves, and we compute the complete one-loop result for this
We discuss how there is mixing between operators for which no direct one-particle-irreducible diagram exists, due to operator replacements by the equations of motion
Summary
H†jd Yd qj + H†ju Yu qj + H†je Ye lj + h.c. L(6) = Ci Qi. The operators are divided into eight classes, which are denoted by 1 : X3, 2 : H6, 3 : H4D2, 4 : X2H2, 5 : ψ2H3, 6 : ψ2HX, 7 : ψ2H2D, and 8 : ψ4 in terms of the field content and number of covariant derivatives, with X denoting a gauge field strength tensor. We will use this schematic notation for other operators that occur in our analysis.
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