{"id":3865,"date":"2016-07-26T18:29:03","date_gmt":"2016-07-26T18:29:03","guid":{"rendered":"http:\/\/www.particlebites.com\/?p=3865"},"modified":"2017-02-19T01:10:27","modified_gmt":"2017-02-19T01:10:27","slug":"jets-more-than-riff-tony-and-a-rumble","status":"publish","type":"post","link":"https:\/\/www.particlebites.com\/?p=3865","title":{"rendered":"Jets: More than Riff, Tony, and a rumble"},"content":{"rendered":"<div class=\"intro\"><strong>Review Bite<\/strong>: Jet Physics<br \/>\n(<em>This is the first in a series of posts on jet physics by Reggie Bain.<\/em>)<\/div>\n<p><span style=\"font-weight: 400;\">Ubiquitous in the LHC\u2019s ultra-high energy collisions are collimated sprays of particles called <\/span><b>jets<\/b><span style=\"font-weight: 400;\">. The study of jet physics is a rapidly growing field where experimentalists and theorists work together to unravel the complex geometry of the final state particles at LHC experiments. If you\u2019re totally new to the idea of jets&#8230;this <\/span><a href=\"http:\/\/www.particlebites.com\/?p=3758\"><span style=\"font-weight: 400;\">bite from July 18th, 2016 by Julia Gonski<\/span><\/a><span style=\"font-weight: 400;\"> is a nice experimental introduction to the importance of jets. In this bite, we\u2019ll look at the basic ideas of jet physics from a more theoretical perspective. Let\u2019<br \/>\ns address a few basic questions:<\/span><\/p>\n<ol>\n<li><b><b><b><b>What is\u00a0a jet?<\/b> <span style=\"font-weight: 400;\">Jets are highly\u00a0collimated collections of particles that are frequently observed in detectors. In visualizations of collisions in the ATLAS detector, one can often identify jets by <\/span><span style=\"font-weight: 400;\">eye.<\/span><\/b><\/b><\/b><\/li>\n<\/ol>\n<figure id=\"attachment_3902\" aria-describedby=\"caption-attachment-3902\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/multi_jet_event1-e1471184381973.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-3902\" src=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/multi_jet_event1-e1471184381973.png\" alt=\"A nicely colored visualization of a multi-jet event in the ATLAS detector. Reason #172 that I\u2019m not an experimentalist...actually sifting out useful information from the detector (or even making a graphic like this) is insanely hard.\" width=\"650\" height=\"381\" \/><\/a><figcaption id=\"caption-attachment-3902\" class=\"wp-caption-text\">A nicely colored visualization of a multi-jet event in the ATLAS detector. Reason #172 that I\u2019m not an experimentalist&#8230;actually sifting out useful information from the detector (or even making a graphic like this) is insanely hard.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">Jets are formed in the final state of a collision when a particle showers off radiation in such a way as to form a focused cone of particles. The most commonly studied jets are formed by quarks and gluons that fragment into hadrons like pions, kaons, and sometimes more exotic particles like the $latex J\/\u03a8, \u03a5, \u03c7<sub>c<\/sub> and many others. This process is often referred to as <\/span><i><span style=\"font-weight: 400;\">hadronization<\/span><\/i><span style=\"font-weight: 400;\">. <\/span><\/p>\n<ol start=\"2\">\n<li><b> Why do jets exist?<\/b> <span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Jets are a fundamental prediction of Quantum Field Theories like Quantum Chromodynamics (QCD). \u00a0One common process studied in field theory textbooks is electron&#8211;positron annihilation into a pair of quarks, <em>e<sup>+<\/sup>e<sup>&#8211;<\/sup> \u2192 q\u00a0<\/em><em style=\"text-decoration: overline;\">q<\/em>. In order to calculate the<br \/>\n<a href=\"http:\/\/cms.web.cern.ch\/news\/what-do-we-mean-cross-section-particle-physics\"><span style=\"font-weight: 400;\">cross-section<\/span><\/a><span style=\"font-weight: 400;\"> of this process, it turns out that one has to consider the possibility that additional gluons are produced along with the <em>q<\/em><em style=\"text-decoration: overline;\">q<\/em>. Since no detector has infinite resolution, it\u2019s always possible that there are gluons that go unobserved by your detector.<\/span><span style=\"font-weight: 400;\"> This could be because they are incredibly soft (low energy) or because they travel almost exactly collinear to the <em>q<\/em> or <em style=\"text-decoration: overline;\">q<\/em> itself. In this region of momenta, the cross-section gets very large and the process favors the creation of this extra radiation. <\/span><a href=\"http:\/\/www.hep.phy.cam.ac.uk\/~thomson\/lectures\/partIIIparticles\/Handout8_2009.pdf\"><span style=\"font-weight: 400;\">Since these gluons carry color\/anti-color, they begin to hadronize and decay so as to become stable, colorless states.<\/span><\/a><span style=\"font-weight: 400;\"> When the <em>q<\/em>, <em style=\"text-decoration: overline;\">q<\/em> have high momenta, the zoo of particles that are formed from the hadronization all have momenta that are clustered around the direction of the original <em>q<\/em>,<em style=\"text-decoration: overline;\">q<\/em> and form a cone shape in the detector&#8230;thus a jet is born! The details of exactly how hadronization works is where theory can get a little hazy. At the energy and distance scales where quarks\/gluons start to hadronize, perturbation theory breaks down making many of our usual calculational tools useless. This, of course, makes the realm of hadronization&#8212;often referred to as parton <\/span><i><span style=\"font-weight: 400;\">fragmentation<\/span><\/i><span style=\"font-weight: 400;\"> in the literature&#8212;a hot topic in QCD research.<\/span><\/span><\/span><\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol start=\"3\">\n<li><b> How do we measure\/study jets?<\/b> <span style=\"font-weight: 400;\">Now comes the tricky part. As experimentalists will tell you, actually measuring jets can a messy business. By taking the signatures of the final state particles in an event (i.e. a collision), one can reconstruct a jet using a <\/span><i><span style=\"font-weight: 400;\">jet algorithm.<\/span><\/i><span style=\"font-weight: 400;\"> One of the first concepts of such jet definitions was introduced by <\/span><a href=\"http:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.39.1436\"><span style=\"font-weight: 400;\">Geroge Sterman and Steven Weinberg in 1977<\/span><\/a><span style=\"font-weight: 400;\">. There they defined a jet using two parameters <em>\u03b8, E<\/em>. These restricted the angle and energy of particles that are in or out of a jet. \u00a0Today, we have a variety of jet algorithms that fall into two categories: <\/span><\/li>\n<\/ol>\n<ul>\n<li style=\"font-weight: 400;\"><b>Cone Algorithms<\/b><span style=\"font-weight: 400;\"> &#8212; These algorithms identify <\/span><i><span style=\"font-weight: 400;\">stable cones <\/span><\/i><span style=\"font-weight: 400;\">of a given angular size. These cones are defined in such a way that if one or two nearby particles are added to or removed from the jet cone, that it won\u2019t drastically change the cone location and energy<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Recombination Algorithms<\/b><span style=\"font-weight: 400;\"> &#8212; These look pairwise at the 4-momenta of all particles in an event and combine them, according to a certain distance metric (there\u2019s a different one for each algorithm), in such a way as to be left with distinct, well-separated jets. <\/span><\/li>\n<\/ul>\n<figure id=\"attachment_3867\" aria-describedby=\"caption-attachment-3867\" style=\"width: 488px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/jet_algs.png\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-3867\" src=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/jet_algs-300x195.png\" alt=\"Figure 2: From Cacciari and Salam\u2019s original paper on the \u201cAnti-kT\u201d jet algorithm (See arXiv:0802.1189). The picture shows the application of 4 different jet algorithms: the kT, Cambridge\/Aachen, Seedless-Infrared-Safe Cone, and anti-kT algorithms to a single set of final state particles in an event. You can see how each algorithm reconstructs a slightly different jet structure. These are among the most commonly used clustering algorithms on the market (the anti-kT being, at least in my experience, the most popular).\" width=\"488\" height=\"317\" srcset=\"https:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/jet_algs-300x195.png 300w, https:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/jet_algs-768x499.png 768w, https:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/jet_algs.png 1012w\" sizes=\"auto, (max-width: 488px) 100vw, 488px\" \/><\/a><figcaption id=\"caption-attachment-3867\" class=\"wp-caption-text\">Figure 2: From Cacciari and Salam\u2019s original paper on the \u201cAnti-kT\u201d jet algorithm (See arXiv:0802.1189). The picture shows the application of 4 different jet algorithms: the kT, Cambridge\/Aachen, Seedless-Infrared-Safe Cone, and anti-kT algorithms to a single set of final state particles in an event. You can see how each algorithm reconstructs a slightly different jet structure. These are among the most commonly used clustering algorithms on the market (the anti-kT being, at least in my experience, the most popular).<\/figcaption><\/figure>\n<ol start=\"4\">\n<li><b> Why are jets important?<\/b> <span style=\"font-weight: 400;\">On the frontier of high energy particle physics, CERN leads the world\u2019s charge in the search for new physics. From deepening our understanding of the Higgs to observing never before seen particles, projects like ATLAS, <\/span><\/li>\n<\/ol>\n<figure id=\"attachment_3933\" aria-describedby=\"caption-attachment-3933\" style=\"width: 650px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/thaler.png\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-3933 size-full\" src=\"http:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/thaler.png\" alt=\"N-subjettiness\" width=\"650\" height=\"240\" srcset=\"https:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/thaler.png 650w, https:\/\/www.particlebites.com\/wp-content\/uploads\/2016\/07\/thaler-300x111.png 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><\/a><figcaption id=\"caption-attachment-3933\" class=\"wp-caption-text\">An illustration of an interesting type of jet substructure observable called \u201cN-subjettiness\u201d from the original paper by Jesse Thaler and Ken van Tilburg (see arXiv:1011.2268). N-subjettiness aims to study how momenta within a jet are distributed by dividing them up into n sub-jets. The diagram on the left shows an example of 2-subjettiness where a jet contains two sub-jets. The diagram on the right shows a jet with 0 sub-jets.<\/figcaption><\/figure>\n<p><span style=\"font-weight: 400;\">CMS, and LHCb promise to uncover interesting physics for years to come. As it turns out, a large amount of Standard Model background to these new physics discoveries comes in the form of jets. Understanding the origin and workings of these jets can thus help us in the search for physics beyond the Standard Model. <\/span><\/p>\n<p><span style=\"font-weight: 400;\">Additionally, there are a number of interesting questions that remain about the Standard Model itself. From studying the production of heavy hadron production\/decay in pp and heavy-ion collisions to providing precision measurements of the strong coupling, jets physics has a wide range of applicability and relevance to Standard Model problems. In recent years, the physics of \u00a0<\/span><a href=\"https:\/\/arxiv.org\/pdf\/1302.0260v2.pdf\"><i><span style=\"font-weight: 400;\">jet substructure<\/span><\/i><\/a><span style=\"font-weight: 400;\">, which studies the distributions of particle momenta within a jet, has also seen increased interest. By studying the geometry of jets, a number of clever observables have been developed that can help us understand what particles they come from and how they are formed. Jet substructure studies will be the subject of many future bites!<\/span><\/p>\n<p><b>Going forward&#8230;<\/b><span style=\"font-weight: 400;\">With any luck, this should serve as a brief outline to the uninitiated on the basics of jet physics. In a world increasingly filled with bigger, faster, and stronger colliders, jets will continue to play a major role in particle phenomenology. In upcoming bites, I\u2019ll discuss the wealth of new and exciting results coming from jet physics research. We\u2019ll examine questions like:<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">How do theoretical physicists tackle problems in jet physics?<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">How does the process of hadronization\/fragmentation of quarks and gluons really work?<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Can jets be used to answer long outstanding problems in the Standard Model?<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">I\u2019ll also bite about how physicists use theoretical smart bombs called \u201ceffective field theories\u201d to approach these often nasty theoretical calculations. But more on that later&#8230;<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">Further Reading\u2026<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cQCD and Collider Physics,\u201d (a.k.a <\/span><i><span style=\"font-weight: 400;\">The Pink Book) <\/span><\/i><span style=\"font-weight: 400;\">by Ellis, Stirling, and Webber &#8212; This is a fantastic reference for a variety of important topics in QCD. Even if many of the derivations are beyond you at this point, it still contains great explanations of the underlying physics concepts.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u201cQuantum Field Theory and the Standard Model\u201d by Matthew Schwartz &#8212; A relatively new QFT textbook written by a prominent figure in the jet physics world. Chapter 20 has an engaging introduction to the concept of jets. Warning: It will take a bit of familiarity with QFT\/Particle physics to really get into the details.<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Ubiquitous in the LHC\u2019s ultra-high energy collisions are collimated sprays of particles called jets. The study of jet physics is a rapidly growing field where experimentalists and theorists work together to unravel the complex geometry of the final state particles at LHC experiments.<\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[61],"tags":[],"class_list":["post-3865","post","type-post","status-publish","format-standard","hentry","category-jets"],"_links":{"self":[{"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/posts\/3865","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3865"}],"version-history":[{"count":8,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/posts\/3865\/revisions"}],"predecessor-version":[{"id":4632,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=\/wp\/v2\/posts\/3865\/revisions\/4632"}],"wp:attachment":[{"href":"https:\/\/www.particlebites.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.particlebites.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}