Particle Physics Booklet - Particle Data Group - Lawrence Berkeley ...
Particle Physics Booklet - Particle Data Group - Lawrence Berkeley ...
Particle Physics Booklet - Particle Data Group - Lawrence Berkeley ...
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180 10. Electroweak model and constraints on new physics<br />
Therefore, observables (other than Rb) which favor mt values higher<br />
than the Tevatron range favor lower values of MH. MW has additional<br />
MH dependence through Δ�rW which is not coupled to m2 t effects. The<br />
strongest individual pulls toward smaller MH are from MW and A0 LR ,<br />
while A (0,b)<br />
FB favors higher values. The difference in χ2 for the global fit is<br />
Δχ2 = χ2 (MH = 300 GeV) − χ2 min ≈ 25. Hence, the data favor a small<br />
value of MH, as in supersymmetric extensions of the SM. The central<br />
value of the global fit result, MH =90 +27<br />
−22 GeV, is below the direct lower<br />
bound, MH ≥ 114.4 GeV (95% CL) [161].<br />
The 90% central confidence range from all precision data is<br />
55 GeV ≤ MH ≤ 135 GeV. (10.36)<br />
Including the results of the direct searches at LEP 2 [161] and the<br />
Tevatron [219] as extra contributions to the likelihood function drives<br />
the 95% upper limit to MH ≤ 147 GeV. As two further refinements, we<br />
account for (i) theoretical uncertainties from uncalculated higher order<br />
contributions by allowing the T parameter (see next subsection) subject<br />
to the constraint T =0± 0.02, (ii) the MH dependence of the correlation<br />
matrix which gives slightly more weight to lower Higgs masses [220]. The<br />
resulting limits at 95 (90, 99)% CL are, respectively,<br />
MH ≤ 149 (145, 194) GeV. (10.37)<br />
10.7. Constraints on new physics<br />
A number of authors [226–231] have considered the general effects on<br />
neutral-current and Z and W boson observables of various types of heavy<br />
(i.e., Mnew ≫ M Z) physics which contribute to the W and Z self-energies<br />
but which do not have any direct coupling to the ordinary fermions. In<br />
addition to non-degenerate multiplets, which break the vector part of weak<br />
SU(2), these include heavy degenerate multiplets of chiral fermions which<br />
break the axial generators. These effects can be described, for example,<br />
by the so-called T and S parameters, respectively, where the latter is<br />
typically rather large in Technicolor theories.<br />
T<br />
1.25<br />
1.00<br />
0.75<br />
0.50<br />
0.25<br />
0.00<br />
-0.25<br />
-0.50<br />
-0.75<br />
Γ Z , σ had , R l , R q<br />
asymmetries<br />
M W<br />
ν scattering<br />
e scattering<br />
APV<br />
all: M = 117 GeV<br />
H<br />
all: M = 340 GeV<br />
H<br />
all: M = 1000 GeV<br />
H<br />
-1.00<br />
-1.5 -1.25 -1 -0.75 -0.5 -0.25 0 0.25<br />
S<br />
0.5 0.75 1 1.25 1.5 1.75 2<br />
Figure 10.1: 1 σ constraints (39.35%) on S and T from various<br />
inputs combined with MZ. S and T represent the contributions of<br />
new physics only.<br />
Further discussion and all references may be found in the full Review.