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Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence

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We calculate the order λ, λ2 and λy2 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. © SISSA 2013.

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