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Large Electroweak Penguin Effects in B and K physics Makiko Nagashima Dept. of Physics, NTU Collider and New physics Mini-Workshop II July 21- 22, National Taiwan University Contents Summer Institute Introductions of introduction … CP Violation in B physics Paper hep-ph/0503072 (W.S.Hou, M.N, A. Soddu) Impact of 4th generation on B→Kπ Direct CP Long Introduction Paper in preparation (W.S.Hou, M.N, A. Soddu) 4th generation scenario and K physics Introductions of Introduction … What is the B physics ? Neither just “the second letter of the alphabet” nor “a mark given to student’s work”… Physics related to B meson containing (anti) bottom quark Why B physics ...? What can we learn from B physics (experiments) ? CP is violating (C: charge conjugation, P: parity) Origin of CP Violation ? We still don’t have any convincing solution Better understanding Close to the early universe (need High Energy experiment but cannot reach Ultra-HE…) CPV in fundamental particle processes TEST OF THE STANDARD MODEL (current understanding) SEARCH FOR NEW PHYSICS (we don’t know now) Standard Model and CKM mechanism 3 generation SU(2) doublet 3 mixing angles + SU(2) singlet 1 CP phase Unitarity Triangle CKM matrix B physics: comparable K physics: one side would be too small That is why B physics has succeeded in study of CP violation. Determination of the Unitarity Triangle One of the clues to test of SM / search for NP Parts of decay modes Accumulation of data Experiments tell us a lot !! We can/must use all of them !! try to understand the physics behind them!! Experimental result on DCPV of B→Kπ seemingly allow accommodations for the NP … Observables of CP Violation Time dependent CP asymmetry B B Direct CP asymmetry f see directly the difference of yield ( Direct CPV ) ( Mixing-induced CPV ) Only for neutral meson We focus on DCPV in this talk What is the indication of non-zero DCPV ? Suppose the amplitude can be expressed in terms of, (irrelevant to weak int.) for the anti-particle process, CP change of the sign (i) given by single term (ii) no relative phases goes away Simple explanation about TREE and PENGUIN diagrams Tree diagram b u s u d d W b > u W u s u 1/Nc u Penguin diagram sub-dominant W b g d s u u d > d b d s W Z,γ u u Large EW penguin from 4th generation and B physics and K physics Introduction: result on DCPV in Kπ PUZZLE The puzzle still persists 5σ Why this indicates a riddle ? sub-dominant can be negligible No Phase differences between them !! SM3 Theoretical expectations within different treatment of the hadronic matrix element QCDF (BBNS) (2003) kT PQCD (KLS) (2001) contradiction away How to explain the deviation extra comparable contributions bringing phase differences toward We saw that … must not be negligible Assemble We call for Large New physics with an extra weak phase penguin 4th generation scenario We employ kTPQCD approach consistent with ~12% ? 4th generation scenario A sequential 4th generation in addition to the SM particles same quantum number well-known unknown Minimum Setup follows WS parameterization T. Yanir, JHEP06, 044 A. Arhrib and W-S. Hou, EPJC27,555 Effective Hamiltonian Dividing ΔCi by QCD penguin Tree QCD Penguin Large enhancement EW/EM Penguin Wilson coefficient t' effects well-satisfy b → sγrate and DCPV Constraint PDG04 Belle(04) B(b→sll) gets greatly enhanced Δm is lower than EXP. bound PDG04 4th generation effects are not excluded!! Result kTPQCD in the SM + 4th generation sizable splitting between It naturally generates the phase diff. and sizable mag. of the extra term Confess ….. Our result is at leading order in kTPQCD. A recent result finds a much larger color-suppressed tree (C) at next-to-leading order. (talk by S. Mishima at Super B WSII, Hawaii April 2005) Naively assumed did not care about One may have suspicion that b→s would spill over into s→d is not necessarily ~ 0 W.S. Hou et al. PLB 192 441 (1987) should be all intertwined … We need to deal with the mixing matrix in detail From previous study Constraint on s ↔ d from K physics (J. Bijnens et al.) (E. Pallante et al.) Therefore…. Andrea’s talk at PPP6 well-satisfy Implication for Current Upper Bound It is very hard to measure but challenging… The rate gets enhanced by almost two order of magnitude !! is not in trouble (currently ) Summary Introductions of Introduction B physics and CP Violation Kπ DCPV puzzle and 4th generation constraint from b→sll and Bs mixing kTPQCD + large EW effect 4x4 mixing matrix and K physics constraints on s→d transition Implication for 4th generation effects, constrained by B physics, are sizable in K physics. Have a nice lunch time C.P. Yuan’s lecture “ Collider Physics IV” will be started from 13:30 ! BACKUP SLIDE strong phase source in kTPQCD At leading process a hard gluon kicks spectator is introduced to cure the endpoint singularities Large strong phase comes from annihilation process