Analysis of a Multi-Muon Signal at Collider and Fixed-Target Experiments
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1 Analysis of a Multi-Muon Signal at Collider and Fixed-Target Experiments In Collaboration with Manuel Drees August 23rd, 2010 SUSY10
2 1 Introduction 2 Ghost Events 3 Simulation 4 Outlook and Summary
3 Introduction 1 Introduction 2 Ghost Events 3 Simulation 4 Outlook and Summary
4 Introduction What s About Study of multi-muon events produced in p p collisions at s = 1.96 TeV; T. Aaltonen et al., arxiv: v2 [hep-ex] Measurement recorded by CDFII detector Data set acquired with a dedicated dimuon trigger Integrated luminosity up to 2100 pb 1 Claim: Significant sample of events cannot be explained by the known QCD production (with the current understanding of the detector)
5 Introduction Data Set Selection criteria for the data set: At least two CMUP muons Initial muons fulfill: p T 3 GeV/c η GeV/c 2 < m µµ 80 GeV/c 2 Initial muons: The two CMUP muons with the highest transverse momentum p T Integrated luminosity of 742 pb events pass these cuts Pseudorapidity: η = ln tan θ 2
6 Introduction Ghost Events Tight SVX selection: Initial muons are created within the beam pipe (radius of 15 mm) Measured efficiency for the tight SVX: ± If all events result from the known QCD production Expected efficiency for the tight SVX: ± = = Type Total Tight SVX All QCD ± Ghost ±
7 Ghost Events 1 Introduction 2 Ghost Events 3 Simulation 4 Outlook and Summary
8 Ghost Events Ordinary Sources ghost events result from ordinary sources, e.g. muon decays of particles with a lifetime longer than that of heavy flavors (K and π mesons) In-flight-decays Corrected ghost events: = There is a significant number of additional real muons within the ghost compared to QCD events Cuts on additional muons: p T 2 GeV/c η 1.1
9 Ghost Events Impact Parameter Impact parameter distribution of initial muons (including fake ones) in ghost (black) and QCD events (red) Figure 7 from arxiv: v2 [hep-ex]
10 Ghost Events Muon Multiplicity Sign-coded multiplicity distribution of additional muons found in cones around the direction of initial muons An additional muon with opposite (same) sign charge increases multiplicity by 1 (10) Integrated luminosity of 2100 pb 1 Figure 22b from arxiv: v2 [hep-ex]
11 Ghost Events Summary There are ± 4829 ghost events with an integrated luminosity of 742 pb 1 : σp p ghosts CDFII ± 4829 = pb ( ± 6.51) pb 742 Comparable with: σ CDFII ± = pb ( ± 15.65) pb p p b b µµ 742 Can we find ghost events in other experiments? Simulation with Herwig
12 Simulation 1 Introduction 2 Ghost Events 3 Simulation 4 Outlook and Summary
13 Simulation Simple Model Simulation of the ghost events in a simple model with the following process: gg/q q XX Differential cross section: dσ Simu gg/q q XX d cos θ = N gg/q q ŝ N gg/q q : Constant ŝ: Partonic center of mass energy m X : Mass of the X-particle β = N gg/q q ŝ 1 4m2 X ŝ
14 Simulation Simple Model X-particle: Neutral electric charge Average decay length γτ X v 15 mm Decay in four elementary particles (at least one muon) Majorana particle (it is its own antiparticle) Free parameters: Decay modes, branching ratios, cτ X and m X Set lifetime of the X-particle: cτ X = 20 mm It influences the impact parameter distribution, but no other distributions!
15 Simulation Set Parameters for Simple Model Decay modes of the X-particle: 1-muon: X µ ν µ u d or X µ + ν µ ūd 2-muon: X µ µ + uū or X µ µ + d d 4-muon: X µ µ + µ µ + Compare the simulation with the measurement: Set mass: m X = 1.8 GeV/c 2 Set branching ratios, e.g. for q q XX : w 1 = w 2 = w 4 =
16 Simulation Expected Ghost Events for Simple Model Investigation of experiments with a muon detector with sufficient coverage and a data set with high integrated luminosity UA1, ZEUS, H1, E605, E772, E789 and E866 E789 has a vertex detector! Data set with integrated luminosity of (17.52 ± 1.89) pb 1 ; D. M. Jansen et al., PRL 74, 3118 (1995) Opposite sign (OS) charged dimuons fulfill: 2 GeV/c 2 m µµ 6 GeV/c η Number of expected OS ghost events for the simple model with q q XX is appox ± 79.4
17 Simulation More Complicated Models Change decay modes for a better reproduction of Fig. 22b: 1-muon: X µ ν µ u d or X µ + ν µ ūd OS 2-muon: X µ µ + τ τ + SS 2-muon: X µ µ τ + τ + or X µ + µ + τ τ 4-muon: X µ µ + µ µ + New X-particle mass m X = 4.6 GeV/c 2 Figure 22b from arxiv: v2 [hep-ex] Simple Model Breit-Wigner with Tau Decay
18 Simulation More Complicated Models Invariant mass distribution of all muons within events, in which both cones contain each at least one additional muon Figure 35a from arxiv: v2 [hep-ex] Add a Breit-Wigner factor to the differential cross section to achieve a better reproduction: dσgg/q q Y Simu XX = NBW gg/q q ŝ 2 d cos θ ŝ (ŝ my 2 )2 + Γ 2 1 4m2 X Y m2 Y ŝ m Y : Mass of BW resonance Γ Y : Width of BW resonance
19 Simulation More Complicated Models Simple Model (Only 2-muon Decay) Breit-Wigner with Tau Decay For q q Y XX : m Y = 110 GeV/c 2 Γ Y = 110 GeV/c 2
20 Outlook and Summary 1 Introduction 2 Ghost Events 3 Simulation 4 Outlook and Summary
21 Outlook and Summary Can reproduce the bulk of data with a simple model Need a more complicated model to reproduce all events Expect measurable number of ghost events at fixed target experiments for the simple model None for Breit-Wigner with tau decay model D0 did not see any ghosts; Mark Williams, for the D0 Collaboration, arxiv: v1 [hep-ex]! Results of fixed target experiments can be explained by the Standard Model?! Can test the Breit-Wigner with tau decay model with fictitious fixed-target experiment with s = 38.8 GeV and an integrated luminosity of 10 5 Nucl./pb For initial muons with lab energy E µ 5 GeV expect ± ghosts
22 The End Thank you for your attention!
23 Backup QCD Production QCD production (dominant sources for initial muons): Semileptonic decays of bottom and charmed hadrons Prompt decays of quarkonia Drell-Yan production (Fake) muons mimicked by prompt hadrons or hadrons arising from heavy flavor decays wikipedia.org; modified wikipedia.org; modified
24 Backup Ordinary Sources Ordinary sources for ghost events: Semileptonic decays of hadrons with an unexpectedly large Lorentz boost Muon decays of particles with a lifetime longer than that of heavy flavors (K and π mesons) In-flight-decays Fake muons from decays of KS 0 mesons and hyperons Secondary interactions of prompt (hadronic) tracks that occur in the detector volume Hyperon: Baryon containing one or more strange quark, but no charm or bottom quarks
25 Backup Set Parameters for Simple Model What is the mass of the X-particle? Use the invariant mass distribution of all muons contained in the cones with at least one additional muon Compare with simulated distributions for pure 2- and 4-muon decay for different masses for the simple model m X = 1.8 GeV/c 2 Figure 34a from arxiv: v2 [hep-ex] 2-muon Decay 4-muon Decay
26 Backup Set Parameters for Simple Model What are the branching ratios for the decay modes of the X-particle? Use sign-coded multiplicity distribution of additional muons found in cones around the direction of initial muons Cones with zero, one, two and three additional muons: One/Zero : Two/Zero : Three/Zero : Figure 22b from arxiv: v2 [hep-ex] Branching ratios for the simple model with q q XX : w 1 = w 2 = w 4 =
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