Effect of Fermionic Operators on the Gauge Legacy of the LHC Run I

Abstract

We revisit the extraction of the triple electroweak gauge boson couplings from the Large Hadron Collider Run I data on the $W^{+}{W}^{-}$ and $W^{\pm }Z$ productions when the analysis also contains additional operators that modify the couplings of the gauge bosons to light quarks and the gauge boson self-energies. We work in the framework of effective Lagrangians where we consider dimension-six operators and perform a global fit to consistently take into account the bounds on these additional operators originating from the electroweak precision data. We show that the constraints on the Wilson coefficients $f_B/{\Lambda }^2$ and $f_W/{\Lambda }^2$ are modified when we include the additional operators while the limits on $f_{WWW}/{\Lambda }^2$ remain unchanged.

Comments: 14 pages, 7 figures, 2 tables. Figures updated, acknowledgments included