臺灣博碩士論文加值系統

在遍舉性衰變過程的計算中,1/mb修正項可由微擾色動力學方法求出。因為初始態重強子的重加法已被證實無法破壞夸克-強子二重性，我們提出一個來自末態粒子的〔門檻重加法〕是個可能破壞此局域二重性的機制。藉由操弄夸克觀點與強子觀點之間的運動學參數的差異，我們可在遍舉性衰變率計算中得出1/mb修正項。這1/mb修正項的其一來源被證實是來自於〔紅外再歸一子〕的效應。在不考慮高階的量子色動力學微擾修正情形下， $B_{sL}$, $n_c$, $r_{c\tau \bar\nu}$, $r_{c\bar cs}$,　$r_{c\bar ud}$, $\tau(B_u)$, $\tau(B_s)$, $\tau(B_d)$ and　$\tau(\Lambda_b)$　的數值結果都已被計算出來。

The $1/m_b$ corrections in the calculations of inclusive decay
rates are explored by PQCD technique. Since resummation for the
initial heavy hadron has been shown not violating the duality, the
possible mechanism responsible for the breakdown of the local
duality that we proposed arises from threshold resummation
associated with final-state particles. By manipulating the
kinematical gaps within quark-frame and hadron-frame
considerations, the $1/m_b$ corrections come out in the inclusive
decay rates. One of the sources of the $1/m_b$ corrections is
proved to be originated from renormalon effect. The numerical
results of $B_{sL}$, $n_c$, $r_{c\tau \bar\nu}$, $r_{c\bar cs}$,
$r_{c\bar ud}$, $\tau(B_u)$, $\tau(B_s)$, $\tau(B_d)$ and
$\tau(\Lambda_b)$ without $O(\alpha_s)$ corrections are obtained.

1. Introduction
2. Review of Previous Works
3. Infrared Renormalon
4. Factorizatiio Formulas
5. Numerical Study
6. Conclusion

\begin{thebibliography}{99}
%
% Chapter 1/ Introduction
%
\bibitem {Isgur&Wise}
N. Isgur and M.B. Wise, Phys. Lett.{\bf B 232}, 113 (1989);
{\bf237}, 527 (1990).
%\bibitem {Isgur91}
%N. Isgur and M.B. Wise, Phys. Rev. Lett.{\bf 66}, 1130 (1991).
\bibitem {Eichten&Hill}
E. Eichten and B. Hill, Phys. Lett. {\bf B 234}, 511 (1990).
\bibitem {Georgi90}
H. Georgi, Phys. Lett. {\bf B 240}, 447 (1990).
\bibitem {Mannel92}
T. Mannel, W. Roberts and Z. Ryzak, Nucl. Phys. {\bf B 368}, 204
(1992).
\bibitem {Eichten90}
E. Eichten and B. Hill, Phys. Lett. {\bf B 243}, 427 (1990).
\bibitem {Falk91}
A.F. Falk, B. Grinstein and M.E. Luke, Nucl. Phys. {\bf B 357},
185 (1991).
\bibitem {Luke90}
M.E. Luke, Phys. Lett. {\bf B 252}, 447 (1990).
\bibitem {GW90}
H. Georgi, B. Grinstein and M.B. Wise, Phys. Lett. {\bf B 252},
456 (1990).
\bibitem {FN93}
A.F. Falk and M. Neubert, Phys. Rev. {\bf D 47}, 2965 (1993); {\bf
47}, 2982 (1993).
\bibitem{KLN}
F. Bloch and A. Nordsieck, Phys. Rev. {\bf 52}, 54 (1937); T.
Kinoshita, J. Math. Phys. {\bf 3}, 650 (1962); T.D. Lee and M.
Nauenberg, Phys. Rev. {\bf 133}, 1549 (1964).
\bibitem{Catani89}
S. Catani and L. Trentadue, Nucl. Phys. {\bf B 327}, 323 (1989).
\bibitem{Catani84}
S. Catani and Ciafaloni, Ncul. Phys. {\bf B 236}, 61 (1984); {\bf
B 249}, 301 (1985).
%\bibitem{BCM}
%A. Bassetto, M. Ciafaloni and G. Marchesini, Phys. Rep. {\bf 100}
%202 (1983).
%
% Chapter 2/ Review of Previous Works
%
\bibitem {expBsl 89?}
ARGUS Collab., H. Albrecht et al., Phys. Lett. B{\bf249},
35(1990); CLEO Collab., R. Fulton et al., Cornell preprint CLNS
90-989(1990);K. Berkelman and S. Stone, Cornell preprint CLNS
91-1644(1991);Crystal Ball Collab., K. Wachs et al., Z. Phys. C
{\bf42}, 33(1989).
\bibitem {expBsl 90}
F. Dydak, Proc. 25th Intern. Conf. on High energy physics
(Singapore, 1990).
\bibitem {Bsl Cortes}
J.P. Cortes et al., Phys. Rev. D{\bf25}, 188(1982).
\bibitem {Bsl AC2M2}
G. Altarelli et al., Nucl. Phys. B{\bf208}, 365(1982).
\bibitem {Bsl PDG90}
Particle Data Group, J.J. Hern\'{a}ndez et al., Review of particle
properties, Phys. Lett. B{\bf239}, 1(1990).
\bibitem {th Bsl 81?}
J.P. Leveille, University of Michigan preprint UM-HE 81-18(1981),
R. R\"{u}ckl, Habilitationsschrift, Munich(1983).
\bibitem {Bsl spectator}
G. Alteralli and S. Petrarca, Phys. Lett. B{\bf261}, 303(1991).
\bibitem{CGG}
J.~Chay, H.~Georgi and B.~Grinstein, Phys.\ Lett.\ {\bf B247}, 399
(1990).
\bibitem{SVsemi}
I.I.~Bigi, M.~Shifman, N.G.~Uraltsev and A.I.~Vainshtein, Phys. Rev.\ Lett.\ {\bf 71}, 496 (1993); B.~Blok, L.~Koyrakh,
M.~Shifman and A.I.~Vainshtein, Phys.\ Rev.\ {\bf D49}, 3356
(1994).
\bibitem{MW}
A.~Manohar and M.B.~Wise, Phys.\ Rev.\ {\bf D49}, 1310 (1994).
\bibitem{Mannel}
T.~Mannel, Nucl.\ Phys.\ {\bf B413}, 396 (1994).
\bibitem{tau}
A.F.~Falk, Z.~Ligeti, M.~Neubert and Y.~Nir, Phys.\ Lett.\ {\bf
B326}, 145 (1994); L.~Koyrakh, Phys.\ Rev.\ {\bf D49}, 3379
(1994); S.~Balk, J.G.~K\"orner, D.~Pirjol and K.~Schilcher, Mainz
Report No.~MZ--TH/93--32 (1993).
\bibitem{SVrare}
I.I.~Bigi, N.G.~Uraltsev and A.I.~Vainshtein, Phys.\ Lett.\ {\bf
B293}, 430 (1992); Erratum, Phys.\ Lett.\ {\bf B297}, 477 (1993);
I.I.~Bigi, B.~Blok, M.~Shifman, N.G.~Uraltsev and A.I.~Vainshtein,
Minnesota Report No.~TPI--MINN--92/67--T (1992).
\bibitem{FLS}
A.F.~Falk, M.~Luke and M.J.~Savage, Phys.\ Rev.\ {\bf D49}, 3367
(1994).
\bibitem{BS}
B.~Blok and M.~Shifman, Nucl.\ Phys.\ {\bf B399}, 441 (1993);
B.~Blok and M.~Shifman, Nucl.\ Phys.\ {\bf B399}, 459 (1993);
N.~Bilic, B.~Guberina and J.~Trampetic, Nucl.\ Phys.\ {\bf B248},
261 (1984); M.~Voloshin and M.~Shifman, Sov.\ J.\ Nucl.\ Phys. {\bf 41}, 120 (1985); M.~Voloshin and M.~Shifman, Sov. Phys.--JETP {\bf 64}, 698 (1986); V.A.~Khoze, M.~Shifman,
N.G.~Uraltsev and M.~Voloshin, Sov.\ J.\ Nucl.\ Phys.\ {\bf 46},
112 (1987).
\bibitem{BVbaff}
I.I.~Bigi, B.~Blok, M.A.~Shifman and A.~Vainshtein, Phys.\ Lett. {\bf B323}, 408 (1994).
\bibitem{FWD}
A.F. Falk, M.B. Wise, and I. Dunietz, Phys. Rev. D{\bf 51},
1183(1995).
\bibitem {Bagan}
E. Bagan et al., Nucl.\ Phys.\ B {\bf 432}, 3 (1994); Phys. Lett.\ B {\bf 342}, 362 (1995) [E: {\bf 374}, 363 (1996)]; E.
Bagan et al., Phys.\ Lett.\ B {\bf 351}, 546 (1995).
%E. Bagan, P. Ball, V.M. Braun and P. Gosdzinsky, Nucl.\ Phys.\ B {\bf
%432}, 3 (1994); Phys.\ Lett.\ B {\bf 342}, 362 (1995) [E: {\bf 374},
%363 (1996)];
%E. Bagan, P. Ball, B. Fiol and P. Gosdzinsky, Phys.\ Lett.\ B {\bf
%351}, 546 (1995).
\bibitem{Voloshin}
M.B. Voloshin, Phys.\ Rev.\ {\bf D51}, 3948 (1995).
\bibitem{nc oral}
M.V. Danilov, \textit{B Physics}, Rapporteur talk at Int.
Europhysics Conf. on High Energy Physics, Marseille, 22-28 July
1993; Preprint ITEP-92-93, 1993.
\bibitem {Neubert&Sach}
M. Neubert and C.T. Sachrajda, Nucl.\ Phys.\ B {\bf 483}, 339
(1997).
\bibitem{Neubert98}
M. Neubert, hep-ph/9801269.
\bibitem {Buchalla95}
G. Buchalla, I. Dunietz and H. Yamamoto, Phys.\ Lett.\ B {\bf
364}, 188 (1995).
\bibitem {Drell97}
P. Drell, Preprint CLNS-97-1521 [hep-ex/9711020], the Proceedings
of the 18th International Symposium on Lepton--Photon
Interactions, Hamburg, Germany, July 1997.
\bibitem {Feindt}
M. Feindt, hep-ph/9802380, the Proceedings of the Int. Europhysics
Conf. on High Energy Physics, Jerusalem, Israel,19-26 August,
1997.
\bibitem{Altarelli96}
G. Altarelli, G. Martinelli, S. Petrarca and F. Rapuano, Phys.
Lett B {\bf 382}, 409 (1996).
\bibitem{Cheng}
H.Y. Cheng, Phys. Rev. D {\bf 56}, 2783 (1997).
\bibitem {Du97}
I. Dunietz et al., Eur.\ Phys.\ J.~C {\bf 1}, 211 (1998).
\bibitem {Close97}
F.E. Close et al., Preprint RAL-97-036 [hep-ph/9708265].
\bibitem {Kagan95}
A. Kagan, Phys.\ Rev.\ D {\bf 51}, 6196 (1995).
\bibitem {RoSh96}
L. Roszkowski and M. Shifman, Phys.\ Rev.\ D {\bf 53}, 404 (1996).
%\bibitem {Uli97}
%A. Lenz, U. Nierste and G. Ostermaier, Phys.\ Rev.\ D {\bf 56},
%7228 (1997).
\bibitem {CLEOwrongc}
CLEO Coll.\ (T.E. Coan et al.), Preprint CLNS-97-1516
[hep-ex/9710028].
\bibitem {DELbccs}
DELPHI Coll., DELPHI~97-80 CONF~66, contributed paper eps97-448 to
the Int. Europhysics Conf. on High Energy Physics, Jerusalem,
Israel,19-26 August, 1997.; P.~Kluit, the Proceedings of the Int.
Europhysics Conf. on High Energy Physics, Jerusalem, Israel,19-26
August, 1997.
%\bibitem {lifetimes}
%T. Junk, to appear in the Proceedings of the 2nd International
%Conference on $B$ Physics and CP Violation, Honolulu, Hawaii,
%March 1997.
\bibitem{Poggio76}
E.C. Poggio, H.R. Quinn and S. Weinberg, Phys. Rev. {\bf D 13},
1958 (1976).
\bibitem{ad} R.W. Forty, Proceedings for the 4th International
Workshop on $B$ Physics and CP Violation, p.154, Ise-Shima, Japan,
Feb. 2001.
%\bibitem {BBD96}
%M. Beneke, G. Buchalla and I. Dunietz, Phys.\ Rev.\ D {\bf 54},
%4419 (1996).
\bibitem {Blok94}
B. Blok et al., Phys.\ Rev.\ D {\bf 49}, 3356 (1994) [E: {\bf 50},
3572 (1994)];
%B. Blok, L. Koyrakh, M.A. Shifman and A.I. Vainshtein, Phys.\ Rev. %D {\bf 49}, 3356 (1994) [E: {\bf 50}, 3572 (1994)];
I.I. Bigi et al., in: B Decays, edited by S. Stone, Second Edition
(World Scientific, Singapore, 1994), p.~134.
\bibitem {Shif94}
M. Shifman, in {\sl Particles, Strings and Cosmology}, Proceedings
of the Joint Meeting of the International Symposium on Particles,
Strings and Cosmology and the 19th Johns Hopkins Workshop on
Current Problems in Particle Theory, edited by J.~Bagger et al. (World Scientific, Singapore, 1996), p.~69.
\bibitem {Blok97}
B. Blok, M. Shifman and D.-X. Zhang, Preprint TPI-MINN-13-97-T
[hep-ph/9709333].
\bibitem {GrinLeb}
B. Grinstein and R.F. Lebed, Preprint UCSD/PTH~97-20
[hep-ph/9708396].
\bibitem {Chib96}
B. Chibisov et al., Int.\ J.\ Mod.\ Phys.\ A {\bf 12}, 2075
(1997).
%B. Chibisov, R.D. Dikeman, M. Shifman and N. Uraltsev, Int.\ J.\ Mod. %Phys.\ A {\bf 12}, 2075 (1997).
%
% Chapter 4/ Infared Renormalon
%
\bibitem{BRS} C. Becchi, A. Rouet, and R. Stora, Phys. Lett. B {\bf 52},
344 (1974).
\bibitem{KS} G.P. Korchemsky and G. Sterman, Phys. Lett. B {\bf 340},
96 (1994); R. Akhoury and I.Z. Rothstein, Phys. Rev. D {\bf 54},
2349 (1996).
%
% Chapter 5/ Factorization Formulas
%
\bibitem{L2} H-n. Li, hep-ph/0102013.
\bibitem{ai}
C. H. V. Chang, D. Chang, W. F. Chang, H-n. Li, and H. L. Yu,
Phys. Rev. D {\bf 58}, 094019 (1998).
%
% Chapter 6/ Numerical Study
%
\bibitem{Ciuchini} M. Ciuchini {\it et al.}, Nucl. Phys. {\bf B625}
211 (2002).
\bibitem{Beneke&Lenz} M. Beneke {\it et al.}, hep-ph/0202106.
\end{thebibliography}