Effective description of general extensions of the Standard Model: the complete tree-level dictionary
J. Blas (Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, Via Marzolo 8, Padova, I-35131, Italy, INFN, Sezione di Padova, Via Marzolo 8, Padova, I-35131, Italy); J. Criado (CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain); M. Pérez-Victoria (Theoretical Physics Department, CERN, Geneva, Switzerland, CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain); J. Santiago (CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Campus de Fuentenueva, Granada, E-18071, Spain)
We compute all the tree-level contributions to the Wilson coefficients of the dimension-six Standard-Model effective theory in ultraviolet completions with general scalar, spinor and vector field content and arbitrary interactions. No assumption about the renormalizability of the high-energy theory is made. This provides a complete ultraviolet/infrared dictionary at the classical level, which can be used to study the low-energy implications of any model of interest, and also to look for explicit completions consistent with low-energy data.
