On the numerical closeness of the effective phenomenological electroweak mixing angle $θ$ and the $\MS$ parameter $\hatθ$

Details On the numerical closeness of the effective phenomenological electroweak mixing angle $θ$ and the $\MS$ parameter $\hatθ$ On the numerical closeness of the effective phenomenological electroweak mixing angle $θ$ and the $\MS$ parameter $\hatθ$

1998-06-25

arxiv.org/abs/hep-ph/9806483v3

Mod.Phys.Lett. A13 (1998) 3099-3108

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, latex, 3 figures included; published on MPLA. A few numerical estimates are improved; journal-ref is added

Scientific paper

10.1142/S0217732398003302

It happens that $s^2$ and $\hat s^2$ are equal with 0.1% accuracy, though they are split by radiative corrections and a natural estimate for their difference is 1%. This degeneracy occurs only for $m_t$ value close to $170\GeV$, so no deep physical reason can be attributed to it. However, another puzzle of the Standard Model, the degeneracy of $s_\Eff^2$ and $s^2$, is not independent of the previous one since a good physical reason exists for $s_\Eff^2$ and $\hat s^2$ degeneracy. We present explicit formulas which relate these three angles.

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