USCMS Hans Wenzel and Nick Leioatts

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Presentation transcript:

USCMS Hans Wenzel and Nick Leioatts When Bunches Collide USCMS Hans Wenzel and Nick Leioatts

Terminology Pt – momentum transverse to the beam axis Pseudorapidity – angle of a particle relative to the beam axis Rapidity – angle and momentum of a particle relative to the beam axis

Background Beam width 20um Arbitrary detector coordinate system Other methods of reconstruction must interrupt beam

Purpose (Beam Position) Find the origin of collisions without having to reconstruct the primary vertex Align/Measure Resolution of Detectors Important Input for many physics analyses B lifetime Improvement of momentum measurement (beam constrained track fit) Input for the trigger (SVT, HLT)

Purpose (Beam Profile) Useful feedback for the accelerator group (Measurement of beta-function) Used for alignment of the Detector Important resolution input for physics analyses

Methods Impact Parameter: D – closest approach of track to (0,0) Phi(φ) – angle at minimum approach Z0 – Z value at minimum approach

D-φ Correlation D(φ0,Z0) = x0(sinφ0) + ax(sinφ0 )(Z0) – y0(cosφ0) - ay(cosφ0 )(Z0) ax, ay : x and y slope of beam X0, Y0 : position of beam at Z = 0

How many tracks? 1000 tracks needed for 1 micron precision

(longer luminous region) 1000 tracks give 0.5 micron/cm precision

β function Width of the beam given Z “Hourglass Effect” Negligible in LHC

Data Generation Reconstruction Fit Beam Position D-phi fit Generation (MC) Pythia generated minimum bias events Pt filter (1.5 GeV/c) Distribute according to betafunction Calculate track parameters Smear track parameters with resolution function Displace beam Generation (Accelerator) Not done yet Reconstruction Fit Beam Position D-phi fit Adjust track parameters to fitted beam position Fit Beta Function and longitudinal beam distribution

Rapidity and Pt of Pythia MC events Pseudorapidity : η = -ln(tan(θ/2)) Rapidity : y = (ln/2)*((E+pz)/(E-pz)) Pt = √(ρx2+ρy2)

Beam Profile

Average abs(D0) vs Z correlation closest impact parameter (D0) given various errors in z

What are we fitting? Fit Parameters: ε: Emittance β* Z0: Longitudinal beam Displacement σz: width of Longitudinal beam distribution

σDtr(Pt) = 10μm + (10/Pt) 10000 tracks give 2cm (6%) precision

Conclusions Beam properties can be reconstructed from their tracks (no vertex fitting necessary) This allows position and width to be measured without disrupting the beam Important input for various physics analysis Measurement tool for aligning and checking the alignment of tracking detectors and measuring the tracking IP resolution function.

Future Create accurate models of SVX and CMS detectors for analysis (Acceptance) Apply to actual data (CDF)