Abstract
We compute the one-loop corrections to $Z$ decay properties from dimension-6 operators in the Standard Model Effective Field Theory (SMEFT) that contribute also to anomalous 3-gauge boson couplings and examine the relative sensitivity of the two processes to the anomalous couplings. The size of the contributions is of order a few percent, of the same size as Standard Model electroweak corrections. This is part of a program of computing electroweak quantities to one-loop in the SMEFT: these calculations are needed for a future global fit to limit the coefficients of the dimension-six Wilson coefficients consistently at one loop.
Highlights
The development of the precision electroweak program at the LHC is a major task for the coming decade
In the Standard Model effective field theory (SMEFT), deviations from the SM are parametrized in terms of a tower of higher dimension operators, Odk, L
The new physics is completely contained in the coefficient functions, Cdk
Summary
The development of the precision electroweak program at the LHC is a major task for the coming decade. The interactions of the Higgs boson and the electroweak gauge bosons appear to have approximately Standard Model (SM)–like interactions, and there is no sign of new massive particles These points together imply that deviations from the SM can be analyzed in an effective field theory framework [1,2]. A precision Higgs and electroweak physics program, requires SMEFT calculations beyond the leading order if matching between the experimental results and theory is to eventually be done at the few percent level. We compute the one-loop corrections to the partial Z decay widths due to the dimension-six operators that contribute to pp → WþW− and compare the sensitivity of the two processes These operators are interesting because for transverse gauge boson production they contribute to different helicity amplitudes [22,23], such that their interference with the SM does not grow with energy unless decays or higher order corrections are considered [24,25].
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