590 likes | 719 Views
Aspen Winter 2003 Conference on Particle Physics: At the Frontiers Jan 19-25 2003. BLACK HOLES & GRAVITONS AT HECs. Maria Spiropulu Enrico Fermi Institute UofC. What ?. A singular classical object (black hole)
E N D
Aspen Winter 2003 Conference on Particle Physics: At the Frontiers Jan 19-25 2003 BLACK HOLES & GRAVITONS AT HECs Maria Spiropulu, Aspen, Jan 21 2003 Maria Spiropulu Enrico Fermi Institute UofC
What ? • A singular classical object (black hole) • A massles spin 2 particle whose long-wavelength interactions are described by general relativity (graviton) • produced in high energy collisions!! Maria Spiropulu, Aspen, Jan 21 2003
It is a matter of scale and geometry • From contact interaction to a gauge boson: the GFE2 behavior was tamed at short length scales • From gauge theory to string theory the GNE2 behavior seems to be tamed at even shorter length scales • With this comes a change in how we perceive spacetime geometry and dynamics: eg. Extra dimenisons • The Standared Model, Supersymmetry and the Kaluza-Klein theory under one umbrella Maria Spiropulu, Aspen, Jan 21 2003
Large compact extra dimensions (ADD type) Warped extra dimensions (RS type) inverse TeV extra dimensions (Ignatios type) (most) all hybrids and combinations of above Fat branes, skiny branes, solid branes, soft branes, no branes, curved bulk, flat bulk, supersymmetric bulk, gravity in the bulk, gauge fields in the bulk, no gauge fields in the bulk, fermions in the bulk, no fermions in the bulk, right handed neutrinos in the bulk, &tc Models of extra dimensions Maria Spiropulu, Aspen, Jan 21 2003
As JoAnne taught me • EWKB • hierarchy problem • SUSY Breaking • flavor Breaking • neutrino masses • proton decay suppression • Grand Unification • the cosmological constant • ... Maria Spiropulu, Aspen, Jan 21 2003 Only high Tc superconductivity you cannot solve with extra dimensions everything else YES
Going down, a step at a time MPlanck, Mstring, MGUT, M*, MD ,M?, MEWK • Bring down the Planck • to the GUT • to the TeV scale • in string theory with extra dimensions, • the 5th slightly bigger, • and then even bigger • and then more of them huge • (eg Kaluza-Klein, Witten-Horava, Lykken, ADD, RS) Maria Spiropulu, Aspen, Jan 21 2003
Black Holes • Initial current work by Banks+Fisckler(hep-th/9906038), Dimopoulos+Landsberg(hep-th/0106295), Giddings+Thomas(hep-ph/0106219) • Rizzo(hep-ph/0201228),Chang (hep-ph/0205033) • goes back to early work by D’Eath and Payne [mosre recent Eardley+Giddings gr-qc/0201034, Yoshino+Nambu gr-qc/0209003] Maria Spiropulu, Aspen, Jan 21 2003
Black Hole, mass, radius, entropy • A gravitational potential well whose gravitational potential energy is greater than the energy required to get out of the well = Black Hole • GNMBH (RS)-1 = 1 GNMBH= RS • the radius of a black hole mass of the black hole • Entropy SBH~black hole area~RS2~MBH2 Maria Spiropulu, Aspen, Jan 21 2003
High Energy vs High Entropy • At higher and higher energies the production of a class of objects with higher and higher entropy will suppress the production of everything else… • or, iow above the energy scale where BH can be produced, ONLY BH will be produced • what is that energy scale? Is it possible that LHC turns on and we can only do diffraction particle physics and the rest is all black holes? And stringy stuff? Maria Spiropulu, Aspen, Jan 21 2003
? String State Entropy • The mass of an Nth mode string state is M2string= N MS2 • and the associated string state entropy Sstring=Mstring/MS • Sstring~Mstring, SBH~M2BH • scales: Planck, String, Effective Planck ? • MBHmin > MS, M* SBH Sstring S Maria Spiropulu, Aspen, Jan 21 2003 energy
BH domination • Conservatively BH production should dominate for MBH~(5-10)M* • cross section: sij BH = F(s) pR2S • F(s)<1 (not all energy gets trapped, geometrical considerations for spherical formation etc) • arguments for suppression(Voloshin et al) but overall domination(Rizzo, D’Eath and Payne etc) Maria Spiropulu, Aspen, Jan 21 2003
BH Production • Total cross section for BH formation eg. • for n=2…7 by proton proton scattering at LHC (14 TeV). Assume M*=1 TeV and • threshold for Black Hole formation at MBH,min= 3 M*=3 TeV Maria Spiropulu, Aspen, Jan 21 2003 Cavaglia et all/hep-ph/0210296
With or Without suppressions Rizzo hep-ph/0201228 Maria Spiropulu, Aspen, Jan 21 2003
BH decay • Hawking radiation with 1/T=dS/dE~MBH~RS • Decay like a point source into brane modes and bulk modes. • Gravity couples democratically so expect final state with GaugeBoson:Quark:Leptons= 29:72:18 (although recent work by Tao Han et al points to modification depending on the brane configuration) • High Multiplicity stuff with a lot of jets until the BH shrinks and stringy modes show up Maria Spiropulu, Aspen, Jan 21 2003
LHC maybe a Black Hole factory Dimopoulos & Landsberg Maria Spiropulu, Aspen, Jan 21 2003 # of BH @LHC in e or g decay channels as a function of BH mass Shadow=2…7 extra dimensions, -- total SM bgr, … Z(ee)+X {even Higgs and SUSY discovery in the BH decays, the dimensionality of space &tc…]
Oven Fresh (the gangs of arizona) Mocioiu,Nara,Sarcevic hep-ph/0301073 Maria Spiropulu, Aspen, Jan 21 2003
ADD-type # of extra dimensions, d effective Planck scale, MD RS-type curvature of AdS5, k extent of 5th dimension, R (brief) Model Description & Parameters d d Lp MPl (8p)-½ e-kRp d AdS5 Maria Spiropulu, Aspen, Jan 21 2003 0 pR
ADD mn= (n2/R2)½ n=(n1,n2,…nd) evenly spaced KK states set MD=1 TeV d =1 R 1011 m d =2 R~0.4 mm 1/R~5 10-4 eV d =4 R~10-5 mm 1/R~20 keV d =6 R~30 fm 1/R~7 MeV RS mn=kxnLp(8p) ½(MPl)-1 xn denotes the roots of the first-order Bessel function not evenly spaced KK states set Lp=1 TeV kR ~ 11-12 m1~TeV order (brief) Model Description & Parameters Maria Spiropulu, Aspen, Jan 21 2003
Collider Signatures • KK-Graviton Emission., KK-Graviton Exchange, KK-Graviton Resonant Production, KK-Boson Resonant production • Monojets+Missing Energy, Dijets+Missing Energy, Monophotons+Missing Energy, Diphotons+Missing Energy, Dijets, Dileptons, Dileptons+missing energy, Diphotons, Dibosons • Results/Studies LEP, TeVI, TeVII, LHC, NLC/TESLA Maria Spiropulu, Aspen, Jan 21 2003
High Mass Dijet Event Run 152507 event 1222318 Dijet Mass = 1364 GeV (corr) cos q* = 0.30 z vertex = -25 cm J2 ET = 633 GeV (corr) 546 GeV (raw) J2h = -0.30 (detector) = -0.19 (correct z) J1 ET = 666 GeV (corr) 583 GeV (raw) J1 h= 0.31 (detector) = 0.43 (correct z) Maria Spiropulu, Aspen, Jan 21 2003 Corrected ET and mass are preliminary (thanks to Rob Harris)
Z nn + jets W tn + jets W en + jets QCD Dibosons tt, single top STRATEGY: Normalize wherever possible using data normalize using Zee data normalize using Zee data, SM W/Z ratio and universality normalize using dijet data normalize using theory cross section Backgrounds Maria Spiropulu, Aspen, Jan 21 2003
Backgrounds Maria Spiropulu, Aspen, Jan 21 2003
Zee: standard(izable) candle Maria Spiropulu, Aspen, Jan 21 2003
Zee: standard candle Maria Spiropulu, Aspen, Jan 21 2003
Eg. Graviton Emission Maria Spiropulu, Aspen, Jan 21 2003
Eg Graviton exchange Maria Spiropulu, Aspen, Jan 21 2003
Signal topology Maria Spiropulu, Aspen, Jan 21 2003
Signal topology Maria Spiropulu, Aspen, Jan 21 2003