Probing Anomalous Top-Gluon Couplings at Colliders
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1 Probing Anomalous Top-Gluon Couplings at Colliders LCWS10 26th-30th March, 2010 Beijing Pratishruti Saha Department of Physics and Astrophysics University of Delhi
2 Higher Dimensional Operators: SM : g s tγ µ T a tg a µ 1 g s µν T a tf a Λ tσ µν 1 ig s µν γ 5 T a tf a Λ tσ µν 1 ig s Λ 2 tt a γ µ D ν tf a µν 1 g s Λ 2 t L σ µν T a t R φ C F a µν dimension-5 dimension-6 Buchmuller and Wyler (1986) Aguilar-Saavedra (2009)
3 SM : g s tγ µ T a tg a µ 1 g s µν T a tf a Λ tσ µν 1 ig s µν γ 5 T a tf a Λ tσ µν Chromomagnetic Dipole Moment Chromoelectric Dipole Moment L int g s Λ tσ µν (ρ + iρ γ 5 )T a tf a µν
4 Testing Grounds p p t t Tevatron ( s = 1.96 TeV) pp t t LHC ( s = 7, 10, 14 TeV) e + e t tg ILC ( s = 500 GeV, 1 TeV)
5 q q t t q(p 1 ) t(p 3 ) q(p 2 ) t(p 4 )
6 gg t t g (p 1 ) t(p 3 ) g (p 1 ) t(p 3 ) t(p 3 ) g (p 1 ) g (p 2 ) g (p 2 ) t(p 4 ) g (p 2 ) t(p 4 ) t(p 4 )
7 gg t t g (p 1 ) t(p 3 ) g (p 1 ) t(p 3 ) t(p 3 ) g (p 1 ) g (p 2 ) g (p 2 ) t(p 4 ) g (p 2 ) t(p 4 ) t(p 4 ) g (p 1 ) t(p 3 ) g (p 2 ) t(p 4 )
8 σ total = σ q q + σ gg PDF : CTEQ6L1 Q = m top NLO K-Factor : Cacciari et. al. (2008)
9 Tevatron Limits : Allowed Parameter Range σ t t (m t = GeV) = 7.50 ± 0.48 pb CDF 2009 (4.6 fb 1 ) 3 2 s = 1.96 TeV 1 σ 3 σ 5 σ ρ /Λ (TeV -1 ) ρ/λ (TeV -1 )
10 Tevatron Limits : Total Cross-Section s = 1.96 TeV ρ = +1 ρ = 1 ρ = ±1 σ (pb) Λ (TeV)
11 LHC Projections : Total Cross-Sections s = 7 TeV ρ = +1 ρ = 1 ρ = ± s = 10 TeV ρ = +1 ρ = 1 ρ = ±1 600 σ (pb) 150 σ (pb) Λ (TeV) Λ (TeV) s = 14 TeV ρ = +1 ρ = 1 ρ = ± σ (pb) Λ (TeV)
12 Tevatron Limits : Invariant Mass Distribution ] 2 [fb/gev/c tt dσ/dm CDF 2009 (m top = 175 GeV, 2.7 fb 1 ) 10 1 SM Expectation Data χ ρ = +1 ρ = 1 ρ = ±1 SM Unfolded M [GeV/c ] tt Λ (TeV)
13 O(1/Λ) s = 1.96 TeV ρ Λ = +1 ρ Λ = 1 ρ = +1 ρ = 1 σ (pb) Λ (TeV)
14 Summary of Limits from Hadron Colliders Rephrasing the results in terms of commonly used notation : 1 Λ (ρ + iρ ) 1 (κ + i κ) 2m t ρ = +1 : Λ 10 TeV ρ = 1 : Λ 9 TeV κ ρ = ±1 : Λ 3 TeV κ 0.12
15 Linear Collider Prospects q(p 1 ) t(p 3 ) g e + e t tg q(p 2 ) t(p 4 ) T.G. Rizzo, Phys. Rev. D 50, 4478 (1994); arxiv:hep-ph/ Limits obtained by fitting the energy spectrum of the gluon assuming no excess in the total cross-section.
16 Rizzo (1996) s = 500 GeV ; L = 50 fb 1 (solid), 100 fb 1 (dotted) ; E min g = 25 GeV 95% CL allowed region Considering only one of κ and κ to be non-zero at a time, from the dotted curve we have : κ κ 0.47
17 Rizzo (1996) s = 1 TeV ; L = 100 fb 1 (solid), 200 fb 1 (dotted) Eg min = 50 GeV Eg min = 25 GeV 95% CL allowed region Considering only one of κ and κ to be non-zero at a time, from the dotted curve on the right panel we have : κ κ 0.14 Better sensitivity to κ but not to κ
18 Using Polarized e Beam Rizzo (1996) s = 500 GeV ; L = 50 fb 1 ; E min g = 25 GeV Unpolarized (solid) ; 90% Polarized (dotted) A(z) = N L(z) N R (z) N L (z) + N R (z)
19 Summary Strong limits from hadron colliders. Limits on chromomagnetic moment can, in principle, be improved at the ILC even without polarized beams.
20 References: 1. D. Choudhury and P. Saha, arxiv: [hep-ph]. 2. Z. Hioki and K. Okhuma, arxiv: [hep-ph]. 3. T. G. Rizzo, Phys. Rev. D 50, 4478 (1994); arxiv: hep-ph/ D. Atwood, A. Aeppli, A. Soni, Phys. Rev. Lett. 69, 2754 (1992); T. G. Rizzo, DPF Conf.1994: (QCD161:A6:1994) ; D. Atwood, A. Kagan, T.G. Rizzo, Phys. Rev. D 52, 6264 (1995); P. Haberl, O. Nachtmann and A. Wilch, Phys. Rev. D 53, 4875 (1996); K. Cheung, Phys. Rev. D 53, 3604 (1996); T. G. Rizzo, Proceedings of 1996 DPF / DPB Summer Study on New Directions for High-Energy Physics (Snowmass 96); S.Y. Choi, C.S. Kim and J. Lee, Phys. Lett. B 415, 67 (1997); B. Grzadkowski, B. Lampe and K.J. Abraham, Phys. Lett. B 415,193 (1997); B. Lampe, Phys. Lett. B 415, 63 (1997); H. Y. Zhou, Phys. Rev. D 58, (1998); K. Hikasa, K. Whisnant, J. M. Yang and Bing-Lin Young, Phys. Rev. D 58, (1998); K. Ohkuma, arxiv:hep-ph/ ; R. Martinez and J. A. Rodriguez, Phys. Rev. D65, (2002); J. Sjolin, J.Phys.G 29, 543 (2003); D. Atwood, S. Bar-Shalom, G. Eilam and A. Soni, Phys. Rept. 347, 1 (2001).
21 5. W. Buchmuller and D. Wyler, Nucl. Phys. B 268, 621 (1986); J.A. Aguilar-Saavedra, Nucl.Phys.B 812,181 (2009). 6. The Tevatron Electroweak Working Group arxiv: [hep-ex]. 7. M. Cacciari, S. Frixione, M.L. Mangano, P. Nason and G. Ridolfi, JHEP 0809:127 (2008). 8. CDF Public Note combined 46invfb/. 9. T. Aaltonen et al.(cdf Collaboration), Phys. Rev. Lett. 102, (2009). 10. CMS Physics Analysis Summaries (CMS-PAS-TOP , CMS-PAS-TOP , CMS-PAS-TOP ), The CMS Collaboration.
22 THE END
23 EXTRA SLIDES
24 2ŝ «dˆσq q πα 2 s β d cos θ 2ŝ «dˆσgg πα 2 s β d cos θ = 2 9 Θ+ + 8 mt 2 9 ŝ 32 ρ mt ρ2 `ŝ Θ 9Λ 9Λ mt 2 8 ρ 2 + `ŝ Θ 9Λ 2 4mt 2 «! 2 = 1 + 4m2 t + m4 t 3Θ ŝ ŝ Θ+ + 3m2 t + 16m4 t Θ + 2ŝ 3ŝ 2 Θ 2 + ρ mt «" j + ρ2 7 Λ 3Θ Λ 2 3ŝ + m2 t ff # 3Θ " # + ρ 2 7 Λ 2 3ŝ + 2m2 t 3Θ + ρ ρ 2 «Λ Λ 2 + ρ 2 28 Λ 2 m t 3 ŝ 20 «mt 2 3Θ + 4 ρ 2 «2 3 Λ 2 + ρ 2 Λ 2 ŝ 2 Θ mt 2 ŝ + 4 «mt 4 Θ
25 Combination of CDF top quark pair production cross section measurements with up to 4.6 fb 1 : CDF Public Note 9913 σ t t (m t = GeV) = 7.50 ± 0.48 pb CDF II Detector Integrated Luminosity : 4.6 fb 1 Combination of : lepton+jets channel artificial neural network with a weight of 70% lepton+jets channel secondary vertex b-tagging with 18% dilepton channel with 18% all-hadronic channel with -6% With : statistical uncertainty 0.31 pb experimental systematic uncertainty 0.33 pb Z boson theoretical cross section uncertainty 0.13 pb luminosity uncertainty 0.06 pb
26 Theoretical Predictions : Tevatron Using CTEQ6.5 σ NLO+NLL t t (Tev, m t = 171 GeV,CTEQ6.5) = (3.9%) +0.53(7%) (scales) (PDFs) pb 0.53(6.9%) 0.36(4.8%) σ NLO t t (Tev, m t = 171 GeV,CTEQ6.5) = (5.1%) +0.49(6.6%) (scales) (PDFs) pb 0.80(10.9%) 0.34(4.6%) σ LO t t (Tev, m t = 171 GeV,CTEQ6.5) = (39.5%) +0.32(5.5%) (scales) (PDFs) pb 1.54(26.1%) 0.24(4.1%) Using MRST2006nnlo σ NLO+NLL t t (Tev, m t = 171 GeV,MRST2006nnlo) = (4.3%) +0.24(3.1%) (scales) (PDFs) pb. 0.56(7.1%) 0.20(2.5%) σ NLO t t (Tev, m t = 171 GeV,MRST2006nnlo) = (5.9%) +0.23(3%) (scales) (PDFs) pb 0.88(11.6%) 0.18(2.4%) σ LO t t (Tev, m t = 171 GeV, MRST2006nnlo) = (40.8%) +0.16(2.6%) (scales) (PDFs) pb. 1.61(26.6%) 0.13(2.1%)
27 Theoretical Prediction : LHC Using CTEQ6.5 σ NLO+NLL t t (LHC, m t = 171 GeV,CTEQ6.5) = (9.0%) +30(3.3%) (scales) (PDFs) pb 85(9.3%) 29(3.2%) σ NLO t t (LHC, m t = 171 GeV,CTEQ6.5) = (11.6%) +30(3.4%) (scales) (PDFs) pb 100(11.5%) 29(3.3%) σ LO t t (LHC, m t = 171 GeV,CTEQ6.5) = (28.2%) +20(3.4%) (scales) (PDFs) pb 120(20.7%) 19(3.3%) Using MRST2006nnlo σ NLO+NLL t t (LHC, m t = 171 GeV,MRST2006nnlo) = (9.2%) +11(1.1%) (scales) (PDFs) pb 91(9.4%) 12(1.2%) σ NLO t t (LHC, m t = 171 GeV,MRST2006nnlo) = (11.7%) +11(1.2%) (scales) (PDFs) pb 107(11.5%) 12(1.3%) σ LO t t (LHC, m t = 171 GeV,MRST2006nnlo) = (27.9%) +7.3(1.2%) (scales) (PDFs) pb 126(20.5%) 7.8(1.3%)
28 K-Factors Tevatron (1.96 TeV) : 1.13 LHC (14 TeV) : 1.42 LHC (10 TeV) : 1.48 LHC (7 TeV) : 1.0 (not available)
29 Chi-Square Calculation χ 2 = σmc σ CDF σ CDF
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