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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.

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