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Trilinear γ WW Couplings at a γγ – collider at ILC. K.M önig, J.Sekaric DESY-Zeuthen. Introduction. Dominating diagram for γγ W + W - Two initial states. Ambiguities in 4-jet events: ( cos θ 1,2 , φ 1,2 ) ↔ (- cos θ 1,2 , φ 1,2 + π ). q. . y. W BACKWARD. 1. x. 2. x. 1.
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Trilinear γWW Couplings at a γγ– collider at ILC K.Mönig, J.Sekaric DESY-Zeuthen
Introduction Dominating diagram for γγ W+W- Two initial states Ambiguities in 4-jet events: (cosθ1,2,φ1,2) ↔ (-cosθ1,2,φ1,2+π) q y WBACKWARD 1 x 2 x 1 z 2 z y WFORWARD q
Total Cross-Section vs. CMS notation Denner, Dittmaier, Schuster, hep-ph/9503442
Total Cross-Section (κγ, λγ) - Whizard On-shell Ws at cme = 400 GeV, 100% polarized beams
Diff. Cross-Section (κγ, λγ) - Whizard Relative deviations of diff. cross-section from the SM in presence of anomalous couplings WLWL masked by dominating WTWT fraction
Analysis • Signal (γγ→WW) and (background, pile-up) samples at detector level WHIZARD – W. Kilian & CIRCE2 – T. Ohl (Telnov’s spectra) (variable energy spectra, 85% polarized e- and 100% γbeams) - pileup : low-energy γγ qq (1.8 ev/BX) - background : γγ qq 4 jets (O’Mega) JZ=2 σ(QCD) ~ (1+ iαs/π), JZ=0 σ(QCD) ~ (1+jαs/π) i[O(1)] < j (for JZ=0 + QCD contribution O(α2) via γγ qqgg andγγ qq(g)qq ) (MadGraph) • Response of a detector simulated withSIMDET V4 • Ws are reconstructed fromhadronic final states • Estimated errorsof measurement ofand parameters,obtained by fit (binned Likelihood )
Pileup rejection track selection via impact parameterI (xy, z) pileup clean Reconstructed PV of an event as the momentum weighted average impact parameter IZ of all tracks, using the information from VTX Reconstructed IZ of each good/bad track normalized to its error Separation efficiency • All neutral accepted • neutral + tracks with θ > 7º
After impact parameter IXY < 2σXYcondition signal + pileup tracks pileup tracks signal tracks signal with pileup • All neutral accepted • neutral + tracks with θ > 7º clean signal
γγ qq 4jetsBackground - used luminosity spectra (with mixed JZ=0 and JZ=2 states σmix) Born Level σ2 >> σ0 JZ=2: σ2 JZ=0: σ0 ~ σ2∙(m2/s) suppression J2 contribution for dominating J0 NLO corrections k2QCD < k0QCD JZ=2: k2QCD ~ (1+iαs/π) JZ=0: k0QCD ~ (1+jαs/π) i < j J0+J2 J0 ↔J2 1-loop non-Sudakov form factor Corrections to the Born Level σ JZ=2: γγ qq (O’Mega)+ QCD (4-5%) parton shower well described by Lund model (q qg soft gluons); J0 ( 0) and J2 dominates in σmix JZ=0: γγ qq(O’Mega) σ0Born << σ2BornJ2 dominates in σmixbut… O’Mega σ0Born 0 due to the (m2/s) suppression
Correction toσγγ qq in the JZ = 0 state σ0QCD→ 0 (m2/s) suppression canceled by double-logarithms (two-loop) QCD corrections to the Born Level σin JZ = 0 > σ2QCD Pure JZ=0 (whole spectrum): MadGraph γγ qqgg + qq(g qq) (O’Mega does not calc. QCD) MINV(3,5,6,9,10,12)> 30 GeV MINV(3,5,6,9,10,12)> 30 GeV … and added to γγqq (O’Mega) with JZ =0
Selection εff ≈ 97% εff ≈ 47% Accepted events: NENFLO > 40, NCT > 20 40º < accepted events < 140º εff ≈ 11% εff ≈ 88% WF cosθ > 0 WB cosθ < 0 J1,J2 WF J3,J4 WB
εff ≈ 53% εff ≈ 1.8% (MW1+MW2) > 125 GeV + 60 GeV < MW1,MW2 < 100 GeV εff ≈ 52% εff ≈ 1.9%
Final angular distributions for JZ=0 WF WB similar distributions for JZ=2 Events made of pileup tracks only pileup
Monte Carlo Fit Each event described with 5 kinematical variables (sensitive to TGC) : • - W production angle,cosθof W boson • - W polar decay angles,cosθ1,2 (sensitive to the different W helicity states) • azimuthal decay angles,1,2(sensitive to the interference between different W helicity states) Matrix element calculations (O’Mega) weights to reweight SM events (Δκγ=0, Δλγ=0) as functions of anomalous TGC by Weight/event: R(,) = 1 + A· + B·()2 + C· + D·()2 + E · + 6-th dimension cme ND=NSM-data sample (SM),NMC- Monte Carlo sample[NSM·R(,)],L– error on luminosity measurement
Error Estimations Estimated errors for and - two-parameter + n6D fit
2-dimensional contour plots JZ=0 JZ=0 1σ JZ=2 ΔL = 0.1% ΔL = 0.1% 95% CL ΔL = 1%
400 GeV % 800 GeV Estimated errors for and - two-parameter + n (5D fit) (generator level, fixed beam energy)
γe: Real / Paras. γγ :JZ=2/ JZ=0 ¹ generator level e- & e+ pol. Scaled for bkg., spectrum, pileup
Systematic Errors • Polarization influence on and • Data sample- 1% changed polarization JZ=2/JZ=0 in the sample with P0,2= + 0.90 JZ=0/JZ=2 (realized increasing Nev with JZ= 2,0 for 10% increase of Nev corresponds to the P0,2 = + 0.89) fit (with MC): JZ=0 (L= 1%) ,λγshifted <1 JZ=2 (L= 0.1%) shifted <3, shifted < 1 • Effect of the background Data sample Estimated background per bin is changed for both modes, fit (with MC): (L= 0.1%) JZ=2→ for κγshifted by 1σ→ bck. at level of < 0.8%, for λγ< 4% JZ=0 → for κγ shifted by 1σ→ bck. at level of < 1.1%, for λγ< 0.6% (L= 1%) for κγ shifted by 1σ→bck. at level of ~ 15%,for λγ< 0.6%
Conclusions • Pileup rejection is difficult (still has a large contribution – decrease: to enlarge ‘b’) • Good signal / background separation • Information on Δκγ in the cross-section (via n) • Information on Δλγin the shape of the distributions • Statistical error estimations Δκγ, Δλγ ~ 10-4 • Systematic errors background