Measurement of the Z boson cross-section in - Harvard University ...
Measurement of the Z boson cross-section in - Harvard University ...
Measurement of the Z boson cross-section in - Harvard University ...
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Chapter 4: Data Collection and Event Reconstruction 115<br />
f<strong>in</strong>der and <strong>the</strong> sequential recomb<strong>in</strong>ation algorithm. Both algorithms can use slid<strong>in</strong>g<br />
w<strong>in</strong>dow clusters or topological clusters as well as reconstructed tracks. The ma<strong>in</strong><br />
features <strong>of</strong> each technique are discussed below.<br />
The seeded fixed cone jet f<strong>in</strong>der<br />
This technique attempts to reconstruct jets us<strong>in</strong>g a fixed-size cone around a seed<br />
cluster. First, all <strong>in</strong>put clusters are arranged <strong>in</strong> descend<strong>in</strong>g order <strong>of</strong> pT . If <strong>the</strong> cluster<br />
with <strong>the</strong> highest pT is above a seed threshold <strong>of</strong> 1 GeV, all clusters with<strong>in</strong> an η − φ<br />
cone <strong>of</strong> fixed size is comb<strong>in</strong>ed with <strong>the</strong> seed cluster. The size <strong>of</strong> <strong>the</strong> cone is given<br />
by Rcone = √ ∆η 2 +∆φ 2 ; <strong>the</strong> algorithm can be run with various cone options from<br />
Rcone =0.4 to Rcone =0.7. A new direction is computed from <strong>the</strong> four-momenta <strong>of</strong><br />
<strong>the</strong> clusters <strong>in</strong> <strong>the</strong> first cone, and a new cone is formed. Clusters are <strong>the</strong>n recollected<br />
<strong>in</strong> this cone, and <strong>the</strong> direction updated. The procedure cont<strong>in</strong>ues until <strong>the</strong> cone<br />
direction is stable, at which po<strong>in</strong>t it is called a jet.<br />
The next seed cluster is <strong>the</strong>n taken from <strong>the</strong> seed list and a new cone jet formed.<br />
The process cont<strong>in</strong>ues until all seeds have been used up. The jets thus formed can<br />
share clusters. S<strong>in</strong>ce <strong>the</strong> cone size is fixed, this procedure is not <strong>in</strong>frared-safe. For<br />
example, a jet from a s<strong>in</strong>gle hadron can get split <strong>in</strong>to two jets with a large overlap. To<br />
remedy this problem, a split-and-merge step is performed after <strong>the</strong> jet f<strong>in</strong>d<strong>in</strong>g. If <strong>the</strong><br />
clusters shared between two jets conta<strong>in</strong> more than 50% <strong>of</strong> <strong>the</strong> pT <strong>of</strong> <strong>the</strong> less energetic<br />
jet, <strong>the</strong> two jets are merged. O<strong>the</strong>rwise, <strong>the</strong>y are kept as separate jets. However, <strong>the</strong><br />
method is still not coll<strong>in</strong>ear-safe, s<strong>in</strong>ce it uses seeds 12 .<br />
12 An algorithm which starts by form<strong>in</strong>g seed objects pass<strong>in</strong>g a threshold can miss some jets.<br />
Suppose a quark emits a gluon at a small angle such that <strong>the</strong> two jets end up <strong>in</strong> adjacent calorimeter<br />
clusters. If <strong>the</strong> energy <strong>in</strong> each cluster is below <strong>the</strong> seed threshold, nei<strong>the</strong>r jet will be reconstructed.