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Constraints on the Scale of New Physics Phenomena from the Combined LEP II f f and γγ Measurements. Dimitri Bourilkov University of Florida for the LEP Electroweak WG APS April Meeting 2004, Denver, CO, USA May 1, 2004. Anything coupling to ff / γγ can be probed
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Constraints on the Scale of New Physics Phenomena from the Combined LEP IIf f and γγ Measurements Dimitri Bourilkov University of Florida for the LEP Electroweak WG APS April Meeting 2004, Denver, CO, USA May 1, 2004
Anything coupling to ff / γγ can be probed New Physics at much higher scale can give observable effects through interference with the SM amplitudes LEP2 provides a window (in many cases still the best) to TeV scale physics: extra dimensions, contact interactions, heavy Z’ bosons, leptoquarks … LEP2 Constraints on New Physics APS 2004 Denver
Falling signal, rising backgrounds (2, W+W-, ZZ …) Initial state radiation: select non-radiative samples highest energy / sensitivity to new physics – probe higher scales than direct searches at same s Anything coupling to ff can be probed LEP2 Monte Carlo Workshop, hep-ph/0007180, CERN-YR-2000-009 Fermion-pair production @ LEP2 APS 2004 Denver
Photon-pair Production APS 2004 Denver
LEP2f f and γγ Groups Combine the measurements of LEP2 data to a common signal definition: 720 pb-1/exp @ 130-208 GeV (> 190 GeV final/preliminary) • Total and differential cross sections (f f and γγ ) • Forward-backward asymmetries (μ+μ- and τ+τ-) • Heavy flavors: Rb and Rc, , Afb • Test the SM at % level and constrain tightly current / future extensions • Correlations obtain full error matrices after averaging • Latest results: hep-ex/0312023, CERN-EP/2003-091 Web page: http://lepewwg.web.cern.ch/LEPEWWG/lep2 APS 2004 Denver
general framework for new int.: scale s coupling g (convention g2 = 4) we constrain g / operators with canonical dimension N > 4 coupling 1/MN-4 |ij| < 1 helicity amplitudes Contact Interactions etc. APS 2004 Denver
Fermion Pairs Averaged over s: h/ h < 1 % (theory 0.3 %); Afb ~ 0.01 (th. 0.004) Good agreement with SM – hadronxsec 1.7 s.d. excess averaged over all s APS 2004 Denver
Averaged over s: (/ )forward ~ 1 % (th ~ 0.5%)(/ )central ~ 1.5 % (theory ~ 1.5%) Contact interactions scale > 16 (18) TeV (VV) re < 1.4 10-19 m Extra dimensions scale > 1.2 (1.1)TeV(=1)(1999: scale Ms > 1.1 TeV from combined analysis of 183-189 GeV data: JHEP 08(1999)006 ) d/dcos e+e- APS 2004 Denver
d/dcosμ+μ- and τ+τ- APS 2004 Denver
Heavy Flavors Averaged over s: Rb/Rb ~ 2.5 % ; Afbbb ~ 0.06 APS 2004 Denver
95% CL limits for μ+μ- and τ+τ- : > 8.6 – 21.7 TeV Assume only 1 flavor active > 2.2 – 15.3 TeV bb > 1.5 – 10.3 TeV cc Contact Interactions 95% CL limits for hadrons: > 3.7 – 9.3 TeV APS 2004 Denver
Z’ Bosons • New neutral, heavy boson Z’ (arises in many models) • Couplings of Z’ tof f model dependent • Z and Z’ can mix mixing angle ZZ’(from LEP1 mixing is very small; assume 0) APS 2004 Denver
γγ (/ )~ 1.2 % (theory ~ 1 %) + > 392 GeV - > 364 GeV Ms > 0.97 TeV APS 2004 Denver
Scales for New Physics • Extra dimensions from e+e- and γγ combined (DB): MHewett > 1.4 (1.2) TeV (=1) (D0 2001 -1.1(1.0) TeV) • Contact interactions: scales up to 21.7 TeV • Z’ : m > 0.434 – 1.787 TeV (diff. models) • Size of the electron: re < 1.4 10-19 m (quark: r < ~10-18 m HERA,r < 5.6 10-19 m CDF 1997) • QED cutoff: + > 392 GeV - > 364 GeV • LHC – contact interactions up to 30 – 50 TeV LC – up to ~ 90 TeV (r < 3 10-20 m ; e.g. hep-ph/0305125) Extra dimension up to ~ 4 TeV APS 2004 Denver
Conclusions • SM describes the full set of precise LEP2 measurements @ 130-208 GeV (results above 190 GeV final/preliminary) • No hint for new phenomena … in spite of sensitive searches! • Many new limits @ TeV scale (Extra dimensions, CI, Z’,leptoquarks …) – already “eating” in the LHC / LC direct discovery range • Combine final measurements, provide a reference point in the era after LEP & constrain tightly physics beyond the SM APS 2004 Denver