WG6, J-J.Blaising, LAPP/IN2P3 13 July 2012

e¯ Energy ResolutionFor e⁻ e⁺-> e⁻ e⁺ events

• 50000 e⁻ e⁺-> e⁻ e⁺ (3 TeV ) generated with Whizard1 • Pt > 5 GeV, 10⁰ < θ < 170⁰ , σ (e⁻ e⁺-> e⁻ e⁺) 6250 fb Pt and θ cut to get rid of γγ -> background • Simulation: Mokka: • Reconstruction: Marlin, no overlay (50000) and overlay (10000)• e± energy calculation from slepton analysis; use the energy of the clusters, not the track momentum, apply energy correction when γ radiation. • Energy resolution ΔE/E².• √s measurement using the energy of the outgoing e±• √s’ measurement using the angles of the outgoing e±• Summary

WG6, J-J.Blaising, LAPP/IN2P3 2

ΔE/E² without/with γγ

3 July 2012

(left) ΔE/E² (no γγ) 2.4% overflow tail ; (right) ΔE/E²(with γγ) 7% overflow Tails from events with bremsstrhalung. The γ E correction is based on the track momentum, it requires identifying the track before γ radiation and after γ radiation in order to add the photon E to the track P after radiation. The poor momentum resolution in the FW region=> bad Track_momentum and Cluster_energy matching => Remove bremstrahlung events (nb tracks > 2). Correction ok for FSR ( 2 tracks only)

WG6, J-J.Blaising, LAPP/IN2P3 3

ΔE/E² without/with γγ2 track events

3 July 2012

2 track event selection => reduced tails (events with γγ, overflow ↘ from 7 to 1.4 %)Energy resolution ΔE/E² = 2.3 10¯⁵, similar to the momentum resolution in barrel=> Δ E/E = 3.5% and ΔE= 52 GeV for 1.5 TeV e±.Similar resolution with γγ -> hadrons overlaid.

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Δ√s/s without/with γγ

3 July 2012 WG6, J-J.Blaising, LAPP/IN2P3

Without γγ, Δ √s/s = = 8.6 10¯⁶ => Δ√s = 78 GeV for 1.5 TeV e±With γγ , Δ √s/s = = 9.1 10¯⁶

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√s and √s’ without γγ

3 July 2012

(left) dN/d√s’ no crossing angle boost correction and dN/d√s (true); very bad agreement already shown last meeting . (right) dN/√s’ with boost correction; better agreement, but √s’ wrong when photon radiation on both beams

√s’ calculated from e± angles (true) assuming only one photon is radiated.

WG6, J-J.Blaising, LAPP/IN2P3 6

√s and √s’ without γγ

3 July 2012

To show the effect, select events for which Ee- or Ee+ (true) > 1498 GeV => Events with photon radiation only on one beam. Much better agreement. No measurement < 1.5 TeV This constraint is not applicable in real data.The √s’ measurement with multi photon radiation requires the fit method developed by Andre and Stephane.It uses both the angles and the energies of the outgoing e±.

Estimate the √s’ resolution reachable with the fit method.

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√s and √s’ without γγ

3 July 2012

(left) √s’ from reconstructed angles, poor agreement with true √s(right) √s’ from reconstructed angles, requiring √s’ and √s from energy of outgoing e± to be within 3 σ. It is an illustration to show that the measurement of the shape of the lumi spectrum can be measured accurately when the both the angles and the energies are taken into account. For the lower part of the spectrum, 2γ rad, the energy resolution dominates.

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Δ√s’/s

3 July 2012

To estimate the resolution, compute Δ√s’ = √s’-√s (true) /s (true) , left plotΔ√s’/s = 1.4 10¯⁶ => Δ√s’= 13.0 GeV at peak energyRight plot ΔE/E² vs Δθ, no strong ΔE/E², Δθ correlation ΔE/E² = ~ 2.3 10¯⁵ and Δθ =6 10¯⁶ rad

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Summary

3 July 2012 WG6, J-J.Blaising, LAPP/IN2P3

• The energy resolution for bhabha events is ΔE/E ² = 2.3 10¯⁵ (from energy of the clusters) • The angular resolution is Δθ = 6 10¯⁶ rad (from tracks)• The shape of the luminosity spectrum can be measured using the angles and energies of the e± of bhabha events Δ√s’/s = 1.4 10¯⁶ => Δ√s’= 13.0 GeV at peak energy• Guineapig fit can be performed at generator level using ΔE/E² and Δθ from full reconstruction study.• The selection efficiency is 80% when removing the bremsstrahlung events and ~ 40% for √s’ > 1.5 teV.

• Why is ΔE # 0.2/√E ~ 0.5% at 1.5 TeV • To measure the lower part of the √s spectrum may require to use the Cluster_energy and/or the Track_momentum

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Backup √s from Energy

3 July 2012 WG6, J-J.Blaising, LAPP/IN2P3

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Backup

3 July 2012 WG6, J-J.Blaising, LAPP/IN2P3

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Δθ and Δφ

3 July 2012

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3.0 TeV

3 July 2012

(left) dN/dE distribution of outgoing e ± (true and reco from track)(right) dN/dE distribution of outgoing e ± (true and reco from cluster)Improved resolution