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A new fast track-fit algorithm based on broken lines - Desy

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C<strong>on</strong>tents<br />

1. Track measurement in particle physics experiments<br />

2<br />

Track parametrizati<strong>on</strong> . . . . . . . . . . . . . . . 3<br />

Track example with msc . . . . . . . . . . . . . . 4<br />

2. Track <str<strong>on</strong>g>fit</str<strong>on</strong>g>ting methods 5<br />

Requirements and computing times . . . . . . . . 6<br />

3. Track-<str<strong>on</strong>g>fit</str<strong>on</strong>g> <str<strong>on</strong>g>algorithm</str<strong>on</strong>g>s <str<strong>on</strong>g>based</str<strong>on</strong>g> <strong>on</strong> <strong>broken</strong> <strong>lines</strong> 7<br />

(a) Fit of z-residual versus <str<strong>on</strong>g>track</str<strong>on</strong>g> length . . . . . 8<br />

Two phases in the <str<strong>on</strong>g>track</str<strong>on</strong>g> rec<strong>on</strong>structi<strong>on</strong> . . . . . . 9<br />

Kink angles . . . . . . . . . . . . . . . . . . . . . 10<br />

First phase: “Straight line” trajectory <str<strong>on</strong>g>fit</str<strong>on</strong>g> . . . . 11<br />

Sec<strong>on</strong>d phase: Track parameters . . . . . . . . . 12<br />

(b) Fit of circle residuals versus <str<strong>on</strong>g>track</str<strong>on</strong>g> length . . . 13<br />

First phase: “Curved line” trajectory <str<strong>on</strong>g>fit</str<strong>on</strong>g> . . . . . 14<br />

Sec<strong>on</strong>d phase: Track parameters . . . . . . . . . 15<br />

Broken-line <str<strong>on</strong>g>track</str<strong>on</strong>g> <str<strong>on</strong>g>fit</str<strong>on</strong>g> result . . . . . . . . . . . . . 16<br />

Accuracy vs momentum . . . . . . . . . . . . . . 17<br />

Summary 18<br />

Backup slides 19<br />

Track with multiple scattering . . . . . . . . . . 20<br />

. . . with <strong>broken</strong>-line <str<strong>on</strong>g>fit</str<strong>on</strong>g> . . . . . . . . . . . . . . . 21<br />

χ 2 - and P -values . . . . . . . . . . . . . . . . . . 22<br />

Pulls of positi<strong>on</strong> measurement . . . . . . . . . . . 23<br />

Pulls of kink angle measurement . . . . . . . . . 24<br />

Outlier example 1 . . . . . . . . . . . . . . . . . 25<br />

Outlier example 2 . . . . . . . . . . . . . . . . . 26<br />

Outlier example 3 . . . . . . . . . . . . . . . . . 27<br />

Outlier example 4 . . . . . . . . . . . . . . . . . 28<br />

A large-angle scatter . . . . . . . . . . . . . . . . 29<br />

Table of c<strong>on</strong>tents 30

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