ElectroWeak precision data: the minimal set of parameters

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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To appear in the proceedings of the XLIst Rencontres de Moriond, ElectroWeak interactions and unified theories

Scientific paper

We show how precision electroweak data, assuming CP conservation and flavor universality, despite being sensitive to 20 dimension 6 operators, constrain severely only 9 combinations of them. We define a set of 7 oblique parameters $\hat S, \hat T, \hat U, V, X,W,Y$ which fully describe corrections to the leptonic observables. We add two additional parameters $\delta \epsilon_q, \delta C_q$ to take into account the most precise hadronic observables. Another parameter $\delta \epsilon_b$ is considered for the bottom quark if flavor universality is not assumed for the third generation of quarks. We show that the approximation is extremely satisfactory testing it on a set of random new physics models and on some famous $Z'$ gauge bosons.

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