Making the small oblique parameters large

We compute the oblique parameters, including the three new parameters V, W, and X introduced recently by Maksymyk and co-workers, for the case of one scalar multiplet of arbitrary weak isospin J and weak hypercharge Y. We show that, when the masses of the heaviest and lightest components of the multiplet remain constant, but J increases, the oblique parameter U and the three new oblique parameters increase like J3, while T only increases like J. For large multiplets with masses not much higher than mZ, the oblique parameters U and V may become much larger than T and S