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Weinberg angle : ウィキペディア英語版
Weinberg angle

The Weinberg angle or weak mixing angle is a parameter in the WeinbergSalam theory of the electroweak interaction, part of the standard model of particle physics, and is usually denoted as ''θ''W. It is the angle by which spontaneous symmetry breaking rotates the original and B0 vector boson plane, producing as a result the boson, and the photon.
: \begin
\gamma \\
Z^0 \end = \begin
\cos \theta_W & \sin \theta_W \\
-\sin \theta_W & \cos \theta_W \end \begin
B^0 \\
W^0 \end
It also gives the relationship between the masses of the W and Z bosons (denoted as ''m''W and ''m''Z):
:m_Z=\frac
The angle can be expressed in terms of the SU(2)_L and U(1)_Y coupling constants (g and g', respectively):
:\cos\theta_W = \frac
The value of ''θ''W varies as a function of the momentum transfer, ''Q'', at which it is measured. This variation, or 'running', is a key prediction of the electroweak theory. The most precise measurements have been carried out in electron-positron collider experiments at a value of , corresponding to the mass of the Z boson, ''m''Z.
In practice the quantity sin2''θ''W is more frequently used. The 2004 best estimate of sin2''θ''W, at , in the is . Atomic parity violation experiments yield values for sin2''θ''W at smaller values of ''Q'', below 0.01 GeV/c, but with much lower precision. In 2005 results were published from a study of parity violation in Møller scattering in which a value of was obtained at , establishing experimentally the 'running' of the weak mixing angle. These values correspond to a Weinberg angle of ~30°. LHCb measured at Q = 7 and 8 TeV an effective angle of sin2(θeffW) = 0.23142.
Note, however, that the specific value of the angle is ''not'' a prediction of the standard model: it is an open, unfixed parameter. At this time, there is no generally accepted theory that explains why the measured value is what it is.
==See also==

* Cabibbo angle

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Weinberg angle」の詳細全文を読む



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