臺灣博碩士論文加值系統

In this work. we study the effect of Final State Interaction (FSI) in B->VP decays, based on QCD factorization sources. All the VP decay channels are considered (42 modes), and we assume a flavor U(3) (and more generally SU(3)) symmetry in FSI to understand the current data. There exist two types of U(3) invariant FSI, with 3 or 4 rescattering phases. For SU(3) invariant FSI, the mixing between SU(3) multiplets and the more general rescattering phases require 10 parameters to describe. Since QCD factorization is model dependent in the part of power correction, and theoretically it is inevitable for it to overlap with FSI by some strong phases, we absorb them as a part of our parameters. However, in order to make the theory predictive, we assume the power correction to be universal, process independent. We get these phases and mixing angles by fitting with current available data, and the chi square over degree of freedom is improved. Another analysis is done, which focuses on the ratios of branching ratios instead of absolute values, to decouple the potential overall factors in branching ratios. In the end, we discuss the property of our FSI model and predict the yet observed branching ratios, direct CP asymmetries and mixing induced CP asymmteries. SU(3) seems to be better, and the breaking of U(3) symmetry is discussed.

1, Introduction 4
I Theoretical Background 5
2, The Standard Model 6
2.1 A Brief Summary 6
2.2 CKM Matrix 8
3, Weak Decay 11
3.1 Effective Hamiltonian 11
3.2 QCD Factorization 12
3.2.1 Building Blocks 13
II B->VP Decays 17
4, Theoretical Framework 18
4.1 Final State Interaction 18
4.1.1 Elastic FSI 20
4.2 U(3) invariant FSI 21
4.3 SU(3) invariant FSI 32
5, Analysis 34
5.1 Input Parameters 34
5.2 Numerical Results and Discussions 38
5.2.1 Pure QCD Factorization 39
5.2.2 U(3) FSI 43
5.2.3 SU(3) FSI 55
6, Conclusion 60
A, The Mixing SU(3) Multiplets 62
B, delta S (delta sin 2 beta) 64
C, A Note of Advices Given in the Oral Defense 65
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下面是以TeX排版的code:
ibitem{Suzuki:1999uc}
M.~Suzuki and L.~Wolfenstein,
%``Final state interaction phase in B decays,''
Phys. Rev. D { f 60}, 074019 (1999) [hep-ph/9903477].
%%CITATION = HEP-PH 9903477;%%

ibitem{Gerard:1991ni}
J.-M.~Gerard and W.S.~Hou,
%``CP violation in inclusive and exclusive charmless B decays,''
Phys. Rev. D { f 43}, 2909 (1991).
%%CITATION = PHRVA,D43,2909;%%

ibitem{Feldmann:1998vh}
T.~Feldmann, P.~Kroll and B.~Stech,
%``Mixing and decay constants of pseudoscalar mesons,''
Phys.~Rev.~D { f 58}, 114006 (1998) [hep-ph/9802409];
%%CITATION = HEP-PH 9802409;%%
%T.~Feldmann, P.~Kroll and B.~Stech,
%``Mixing and decay constants of pseudoscalar mesons: The sequel,''
Phys. Lett. { f B449}, 339 (1999) [hep-ph/9812269].

ibitem{Ali}
A.~Ali, G.~Kramer and C. D. L$ddot {
m u}$, Phys.~Rev.~D { f 58},
094009 (1998).

ibitem{CCSoni}
H.~Y.~Cheng, C.~K.~Chua and A.~Soni, Phys.~Rev.~D { f 71}, 014030
(2005) [hep-ph/0409317].

ibitem{HHY01}
X.~G.~He, W.~S.~Hou and K.~C.~Yang, Phys. Rev. Lett. { f 83},
1100 (1999) [hep-ph/9911528].

ibitem{HY01}
W.~S.~Hou and K.~C.~Yang, Phys. Rev. Lett. { f 84}, 4806 (2000)
[hep-ph/9911528].

ibitem{HSW}
W.S.~Hou, J.~G.~Smith and F.~Wurthwein, hep-ex/9910014.

ibitem{CHY01}
C.~K.~Chua, W.~S.~Hou and K.~C.~Yang,
%``Final state rescattering and color-suppressed anti-B0 $o$ D(*)0 h0
%decays,''
Phys. Rev. D { f 65}, 096007 (2002) [arXiv:hep-ph/0112148].
%%CITATION = HEP-PH 0112148;%%

ibitem{BtoPP}
C.~K.~Chua, W.~S.~ Hou and K.~C.~ Yang, Hanoi 2004, 9th Asia Pacific
Physics Conference, 53-54.

ibitem{CWC1}
C.~W.~ Chiang, M.~Gronau, Z.~ Luo, J.~L.~Rosner and D.~A.~Suprun,
Phys.~Rev.~D, { f69} 034001 (2004) [hep-ph/0307395].

ibitem{CWC2}
C.~W.~ Chiang, M.~ Gronau, J.~L.~Rosner and D.~A.~Suprun,
Phys.~Rev.~D, { f70} 034020 (2004) [hep-ph/0404073].

ibitem{TDLee}
T.~D.~Lee, {it Particle Physics and Introduction to Field Theory}
(Harwood Academic Publishers, Chur, Switzerland, 1981).

ibitem{HNLi}
Y.~Y.~Keum, H.~N.~Li, A.I. Sanda, Phys.~Rev.~D~{ f 63}, 054008
(2001) [hep-ph/0004173].

ibitem{Beneke:2003}
M.~Beneke and M.~Neubert, Nucl. Phys. { f B675}, 333 (2003).

ibitem{Beneke:2001}
M.~Beneke, G.~Buchalla, M.~Neubert and C.~T.~Sachrajda, Nucl.
Phys. { f B606}, 245 (2001) [hep-ph/0104110].

ibitem{Beneke:2003s}
M.~Beneke and M.~Neubert, Nucl. Phys. { f B651}, 225 (2003).

ibitem{Beneke:1999ry}
M.~Beneke, G.~Buchalla, M.~Neubert and C.~T.~Sachrajda, Phys. Rev.
Lett. 83, 1914 (1999) [hep-ph/9905312].

ibitem{Beneke:2000ry}
M.~Beneke, G.~Buchalla, M.~Neubert and C.~T.~Sachrajda,
%``QCD factorization for exclusive, non-leptonic B meson decays:
%General arguments and the case of heavy-light final states,''
Nucl. Phys. { f B591}, 313 (2000) [hep-ph/0006124].

ibitem{PDG}
K. Hagiwara {it et al}, Particle Data Group, Phys.~Rev.~D { f 86},
010001 (2002).

ibitem{HFAV}
Heavy Flavor Averaging Group,
http://www.slac.stanford.edu/xorg/hfag/.

ibitem{UTfit:2006}
Unitarity Triangle fit, http://utfit.roma1.infn.it/.

ibitem{CKMfitter:2006}
CKM fitter, http://www.slac.stanford.edu/xorg/ckmfitter/.

ibitem{CCC:formfactor}
H.~Y.~Cheng, C.~K.~Chua, C.~W.~Hwang, Phys.~Rev.~D { f 69}, 074025
(2004) [hep-ph/0310359 ].