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Precise prediction for ILC experiment

Precise prediction for ILC experiment. HAN, Liang Univ. of Science &Technology of China ( on behalf of U.S.T.C Hep Phenomenology Group ). Hadron colliders as discovery machinary:. SPS, Tevatron I & II, LHC.  W boson, top quark, Higgs? SUSY?. Precise measurement at linear colliders LC.

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Precise prediction for ILC experiment

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  1. Precise prediction for ILC experiment HAN, Liang Univ. of Science &Technology of China (on behalf of U.S.T.C Hep Phenomenology Group)

  2. Hadron colliders as discovery machinary: SPS, Tevatron I & II, LHC  W boson, top quark, Higgs? SUSY? • Precise measurement at linear colliders LC LEP, TESLE/ILC/NLC • QF & SM precise test, eg W boson mass, top physics etc • Higgs characteristic and couplings: Hff, HZZ, HWW, HHH, HHHH • New physics, eg SUSY parameter determination • Challenges for LC phenomenology:  QCD & EW quantum radiative correction effects, NLO and 2-loop calculations  multiplicity (>=3) final states Introduction on motivation L.HAN@9th ILC,Beijing

  3. -- W boson mass at NLO W boson mass measurement -- Higgs mass determination with W 80,398 ± 25 MeV/c2 combined latest CDF http://www.fnal.gov/pub/presspass/images/LighterHiggs-images.html L.HAN@9th ILC,Beijing

  4. on-shell di-W bosons 22 in double-pole approximation + + Theoretical uncertainty ~ 0.7% (@170GeV) LEP2 ~ 1% Passarino-Veltman reductionN≤4 • Off-shell 24 of threshold scan in + • high mass region 24e+e-WWqq+lv in for anomalous couplings Measurement of e+e-W(*)Wln+ln W mass uncertainty ~ 7 MeV N=6 [#] For reference S.Dittmaier Hep-ph/0308079, and A.Denner et al Hep-ph/0505042 L.HAN@9th ILC,Beijing

  5. Challenge on theoretical prediction The confrontation of high-precise ILC measurement with phenomenology:  better understanding on QCD and EW effects  ISR/FSR treatment  high multiplicity nf≥3 in final states  complication of topology  N≥5-point Feynman loop integrals  stability in numerical calculation  software : FeynArts, FormCalc, LoopTools etc L.HAN@9th ILC,Beijing

  6. The status of precise calculation L.HAN@9th ILC,Beijing

  7. Theoretical requirement for LC physics L.HAN@9th ILC,Beijing

  8. One-loop radiative corrections to 2nf N-point Feynman integrals as 1 to 4-point integrals given in G.Passarino and M.Veltman, NLB160(1979)151 L.HAN@9th ILC,Beijing

  9. (N≤4)-point loop integrals Passarino-Veltman: 3-point tensor integral as example --- Decompose to Lorentz-covariant tensor + coefficient --- Use Gram determinant to calculate coefficient Cij would raise singularity in N≥5-point integrals L.HAN@9th ILC,Beijing

  10. 5-point integral by A.Denner and S.Dittmaier, NPB658(2003)175 where • 5-dimensional Cayley matrix Y used to replace Gram matrix New development on (N≥5)-point integrals • 6-point loop function by A.Denner and S.Dittmaier, hep-ph/0509141 L.HAN@9th ILC,Beijing

  11. EW corrections to e+e-ttH [†] Y.You et al, hep-ph/0306036, Phys. Lett. B571(2003)85 EW RC=self-energy(376) + vertex(425) + box(145) + pentagon(29), where part of N=5 diagrams as • For Ultraviolet UVdivergence in N=2 and 3-point integrals, dimensional regularization + COMS [†] S.Dawson et al, PRD59(1999)054012: QCD k=1.5 for Mh=100GeV@√s=500GeV L.HAN@9th ILC,Beijing

  12. For Infrared IRdivergence in N=2 to 5-point integrals, + virtual : photon mass regularizationmg+ massive electron +real emission = soft photon limit + phase-space slicing (DE) + hard radiation L.HAN@9th ILC,Beijing

  13. Conclusion :remarkable O(5%) EW correction to ttH at LC • consistency check given by S.Dittmaier in hep-ph/0308079 [66] G.Belanger et al Hep-ph/0307029, Phys.Lett. B571(2003)163 [67] A.Denner et al, Hep-ph/0307193, Phys.Lett. B575(2003)290 L.HAN@9th ILC,Beijing

  14. EW corrections to e+e-ZHH R.Y.Zhang et al, hep-ph/0308203, Phys. Lett. B578(2004)349 • O(0.1)fb @ √s<1TeV, • 10% precision on cross-section  18% on lHHH L.HAN@9th ILC,Beijing

  15. --- phase-space-slicing stability --- independence of mg @ Cancellation of IR singularity: virtual + soft-photon limit mg+ phase-space-slicing DE + hard radiation L.HAN@9th ILC,Beijing

  16. Conclusion : --- O(10%) EW correction to intermediate(115-200GeV) HHZ production at LC --- maximum cross-section in √s ~800GeV for intermediate Higgs L.HAN@9th ILC,Beijing

  17. Consistency check with Grace people, hep-ph/0309010, Phys.Lett. B576(2003)152 L.HAN@9th ILC,Beijing

  18. Summary Precise prediction for high multiplicity final state processes is being a frontier of ILC phenomenology --NLO EW quantum correction could be as large as 5% to ttH, HZZ and HHZ production, which have to be taken into account for Yukawa, HHH self-coupling and HVV coupling measurement --method development on high rank N≥5 one-loop integrals and the stability of numerical calculation is essential L.HAN@9th ILC,Beijing

  19. G.Passarino and M.Veltman, NLB160(1979)151 • F.Aguila et al., JHEP 0407(2004)017, up to 4-point • T.Binoth et al., hep-ph/9911342, NPB572(2000)361 • A.Denner et al., hep-ph/0212259 (5-point) • T.Binoth et al., hep-ph/0210023 ,NPB654(2003)277 (hexagon) • A.Denner et al., hep-ph/0509141 (6-point) • L.Guo et al., internal note (5 and 6-point) L.HAN@9th ILC,Beijing

  20. Backup L.HAN@9th ILC,Beijing

  21. EW corrections to e+e-ZHH Y.J.Zhou et al, hep-ph/0604127 , Phys. ReV. D73(2006) 073009 • O(0.5)fb @ √s<1TeV for intermediate Higgs (115-200GeV) • sensitivity onlHVV measurement L.HAN@9th ILC,Beijing

  22. Conclusion : --- O(10%) EW correction to intermediate(115-200GeV) ZZH production at LC L.HAN@9th ILC,Beijing

  23. Guo’s method for 6-point integral

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