Cross sections and charge asymmetries for e+e−→μ+μ− and e+e−→τ+τ−reactions at

Search for new particles at LEP

Abstract We investigate possible effects of unparticles at the MUonE experiment by considering a general model for unparticle with broken scale invariance, characterized by the scaling dimension d and the energy scale $$\mu $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>μ</mml:mi> </mml:math> at which the scale invariance is broken. Taking into account available relevant constraints on the couplings of the unparticles with the Standard Model (SM) leptons, we found that the MUonE experiment at the level of 10 ppm systematic accuracy is sensitive to such effects if $$1&lt;d\lesssim 1.4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>&lt;</mml:mo> <mml:mi>d</mml:mi> <mml:mo>≲</mml:mo> <mml:mn>1.4</mml:mn> </mml:mrow> </mml:math> and $$1\le \mu \lesssim 12$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>μ</mml:mi> <mml:mo>≲</mml:mo> <mml:mn>12</mml:mn> </mml:mrow> </mml:math> GeV for vector unparticles. The effects of scalar unparticles are too feeble to be detected. The vector unparticles can induce a significant shift on the best-fit value of $$a_\mu ^\text {had}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>a</mml:mi> <mml:mi>μ</mml:mi> <mml:mtext>had</mml:mtext> </mml:msubsup> </mml:math> at the MUonE, thereby providing an opportunity to detect unparticles or to obtain a new bound on the unparticle-SM couplings in the case of no anomaly. 

pdf/unparticle-effects-at-the-muone-experiment-39n981wh87.pdf

Unparticle effects at the MUonE experiment

Indirect effects of the Z’ boson in the process e+e− → μ+μ− as implemented at the LEP2 electron-positron collider are investigated in terms of new integrated observables σ±. It is demonstrated that these observables furnish more definitive information about Z’-boson effects than the canonical observables σ± and AFB. It is established that the deviations Δσ± induced by Z’ bosons show a specific energy dependence, which is determined primarily by the parameters of the Standard Model. This permits making unambiguous model-independent predictions. In particular, two points, $\sqrt {s_ + } \approx 78GeV$ and $\sqrt {s_ - } \approx 113GeV$, are determined at which, respectively, σ+ and σ− vanish both in the Standard Model and in presence of the extra Z’ boson. These energy values can be of use in searches for phenomenological manifestations of alternative sources of new physics that are different from Z’.

Searches for electroweak γ-Z-Z’ interference at the LEP2 e+e− collider

https://pure.uva.nl/ws/files/1447210/1896_20781y.pdf

Measurement of muon-pair production at 50 GeV<s<86 GeV at LEP

The angular distributions of the reactione+e−→μ+μ− ande+e+→τ+τ− have been measured between$\sqrt s = 50$ and 60.8 GeV with the VENUS detector at TRISTAN. The average total cross section and the forward-backward charge asymmetry for μ-pair production are observed to be 28.3±1.4±0.8 pb and (−29.0−4.8+5.0±0.5)%, and those for τ-pair production are 27.6±1.7±1.0 pb and (−32.8−6.2+6.4±1.5)% at$\langle \sqrt s \rangle $. These values are consistent with the predictions of the standard model of electroweak interactions.

Measurement of the reactions e+e-→μ+μ- and e+e-→τ+τ- between {Mathematical expression} and 60.8 GeV

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Measurement of the reactions e+e-→μ+μ- and e+e-→τ+τ- between {Mathematical expression} and 60.8 GeV