 
              Jet Physics Kenichi Hatakeyama 畠山 賢一 Baylor University CTEQ - MCnet Summer School Lauterbad (Black Forest), Germany 26 July - 4 August 2010
Contents  Introduction  Jet production  What are jets?  Inclusive jets and multijets  QCD  New physics search with jets  History of Jets  Jet fragmentation Jet physics motivation Underlying event   e + e - Boson+jets   ep Diffraction and exclusive   production Hadron collider  Jet commissioning and  Jet algorithms  preparation at the LHC Jet reconstruction and calibration  Jet plus track and particle  Detector response for jets  flow jet reconstruction Jet energy correction  Boosted jets for Higgs and  new physics searches Final remarks  July 26 - August 4, 2010 CTEQ Summer School 2010 2
Disclaimers I am an experimentalist, so I have a little more emphasis on  experimental aspects and findings A lot of new “results” were released from LHC experiments at  ICHEP 2010 in Paris about one week ago; however, since there are separate talks on early LHC results next week by Klaus Rabbertz and Jan Fiete Grosse-Oetringhaus, I will not talk about them extensively Although very interesting, I will not discuss jet physics in heavy ion  collisions due to time constraints July 26 - August 4, 2010 CTEQ Summer School 2010 3
What Are Jets?    jet jet anything p p A collimated spray of particles originating from hard scattered partons July 26 - August 4, 2010 CTEQ Summer School 2010 4
See lecture QCD by Dr. Olness The non-abelian SU(3) gauge theory of the strong interaction   Similar to QED, but there are important differences. QED Lagrangian  1               F A A L QED q ( i m ) q e q A q F F ,         4 photon field) ( A :  QCD Lagrangian  1           A L q ( i m ) q g ( q T q ) G F F ,   QCD a b a A b  4      gluon field) A A A B C A G G G g f G G ( G :         ABC   (quark color charges) (gluon color charges) [ a , b 1 , 2 , 3 , A , B , C 1 ,...., 8 ] This non-abelian term distinguishes QCD from QED (introduces triplet and quartic gluon self-interactions)      2 3 2 4 ( L QCD " q q " " G " g " q qG " g " G " g " G " ) Gluon self interactions July 26 - August 4, 2010 CTEQ Summer School 2010 5
QCD quark colors quark anticolors There are three color charges (c.f. one  electric charge in QED) Quarks carry one color charge  Gluons carry one color charge and  one anti-color charge (c.f. photons do not carry electric charge) Gluons have self-interactions (c.f. photons do not) Color charge is conserved at all vertices Gluon self-interaction leads to “anti -  screening” of color charge (c.f. electric charge screening) A quark can emit gluons, and gluons can make  a quark loop or gluon loop  Spread out original quark color (color cloud)  confinement and asymptotic freedom Both features important to describe jets  July 26 - August 4, 2010 CTEQ Summer School 2010 6
Basic Aspects of QCD Asymptotic freedom  A test charge inside the color “cloud” will  experience smaller force than at large distance  At small distances, quarks can interact through confine- color fields of reduced strength and ment asymptotically behaves as free particles Asymptotic The coupling constant  s decreases at  freedom small distances  12   2 ( ) Applicability of perturbation theory Q    s 2 2 ( 33 2 ) ln / n Q f Distance Confinement   The energy injected into a hadron does not separate the quarks but goes into creating qqbar pairs, and hence hadrons  answer the non-observation of free quarks Origin of jets: partons from hard scatter evolve  via radiation and hadronization processes to form a “spray” of collinear hadrons (limited k T relative to “jet” axis) July 26 - August 4, 2010 CTEQ Summer School 2010 7
Observation of Quark Jets First evidence of jets arising from quarks in e+e-  qq events was  obtained at the SPEAR e + e - collider in 1975.   Jet like: S=0  Use “ sphericity ”:  2 2 S 3 ( p ) /( 2 p )  , i min i Isotropic: S~1 i i  QCD predicts that, as the cms energy increases, events should become more jet-like; sphelicity should peak toward lower S values G. Hanson et al. (MARK-I Collaboration), PRL 35 (1975) 1609 July 26 - August 4, 2010 CTEQ Summer School 2010 8
Observation of Gluon Jets TASSO [PETRA] PLB(1979)243; MARK-J [PEP] PRL43(1979)830; PLUTO [PETRA] PLB86(1979)418; JADE [PETRA] PLB91(1980)142 e + e - at E cm = 13 – 32 GeV 1 st three-jet event from TASSO July 26 - August 4, 2010 CTEQ Summer School 2010 9
Jets in e + e - Annihilations  e   jet   e     jet jet jet jet e e e + e - events are clean  No initial state QCD radiation  No beam remnant  No multiple interaction  Played a critical role in establishing QCD  July 26 - August 4, 2010 CTEQ Summer School 2010 10
Why Study Jets in e + e - ? Determine quark spin Measure a s , Study non-abelian Determine spin of gluon structure of QCD QCD Studies  Spin of quarks and gluons  SU(3) gauge structure of QCD, color  Z* factors, triple-gluon vertex  Measurements of a s Quark & gluon jet  properties/differences Fragmentation functions  Search for Higgs Search for the Higgs and new physics  July 26 - August 4, 2010 CTEQ Summer School 2010 11
Jets in e + e - : Spin of the Quark The quark spin can be inferred from the angular distributions of the  “thrust axis” (~direction of jets) Thrust is another event shape variable used in e + e - analyses      Thrust axis: maximize S |p i, parallel | S   p n    i T max T    S  | |  p i  d     2 1 cos  th cos d th  th TASSO (PETRA) 1984: Sphericity axis July 26 - August 4, 2010 CTEQ Summer School 2010 12
Jets in e + e - : Spin of the Gluon Study 3-jet events:   Order jets in decreasing E i Third jet more likely to be the  radiated gluon Angle  EK between axis of (2,3)  relative to 1 in the frame where 2 & 3 are back-to-back (Ellis-Karliner angle) sensitive to gluon spin July 26 - August 4, 2010 CTEQ Summer School 2010 13
Jets in e + e - : Three Gluon Vertex Study 4-jet events:   Order jets in decreasing E i Jets 3 & 4 more likely to be  “radiated” jets Angle  BZ between planes spanned by  (1,2) & (3,4) (Bengtsson-Zerwas angle) sensitive to the three-gluon vertex Full analysis of angular distributions  allows determination of contributions from different diagrams Confirm SU(3) gauge group  structure of QCD July 26 - August 4, 2010 CTEQ Summer School 2010 14
References You can find a lot more interesting  jet physics studies from e + e - in: July 26 - August 4, 2010 CTEQ Summer School 2010 15
Jet Production in ep Collisions     jet jet anything  e  jet  anything p ep (Photoproduction) (NC DIS) July 26 - August 4, 2010 CTEQ Summer School 2010 16
Why Study Jets in ep Collisions? NC DIS QCD Compton Born Process Boson-Gluon Fusion Photoproduction QCD Studies  Proton and photon PDFs  Measurements of  s  Fragmentation functions  Quark-gluon jet properties  Inclusive- and multi-jet production   Rapidity Gaps/Diffraction Search for new physics  July 26 - August 4, 2010 CTEQ Summer School 2010 17
Jets at Hadron Colliders    jet jet anything p p July 26 - August 4, 2010 CTEQ Summer School 2010 18
Jets at Hadron Colliders    jet jet anything pp July 26 - August 4, 2010 CTEQ Summer School 2010 19
Jets at Hadron Colliders Proton (Anti)Proton July 26 - August 4, 2010 CTEQ Summer School 2010 20
Jets at Hadron Colliders See lecture Partons inside proton: by S. Forte Parton Distribution Functions (PDF’s) Proton (Anti)Proton July 26 - August 4, 2010 CTEQ Summer School 2010 21
Jets at Hadron Colliders Hard scattered parton creates Hadronization Jet a “jet” of observable particles Parton showering Dominant hard process: Outgoing parton QCD 2 → 2 scattering of partons q , g Proton Anti(Proton) q , q , g g x 1 p x 2 p x 1 p 1 2 1 q , g Jet July 26 - August 4, 2010 CTEQ Summer School 2010 22
Jets at Hadron Colliders Hadronization Jet Parton showering Initial State Radiation Outgoing parton Beam Remnants Proton Anti(Proton) x 1 p 1 Multiple parton scattering In reality, a little more complicated. Jet Often need to use phenomenological models to account for non-perturbative effects July 26 - August 4, 2010 CTEQ Summer School 2010 23
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