K0 anti-K0 Mixing in the Six Quark Model

Gilman, Frederick J.; Wise, Mark B.

doi:10.1103/PhysRevD.27.1128

K0 anti-K0 Mixing in the Six Quark Model

Frederick J. Gilman
(
- SLAC
)
,
Mark B. Wise
(
- Harvard U.
)

Jun, 1982

33 pages

Published in:

Phys.Rev.D 27 (1983) 1128

DOI:

10.1103/PhysRevD.27.1128

Report number:

SLAC-PUB-2940

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Abstract: (APS)

Using the leading-logarithm approximation, strong-interaction corrections to K0−K¯0 mixing in the six-quark model are computed in quantum chromodynamics. The full calculation involving the mixing of eight operators at some stages is done, as well as an approximate, much simpler calculation. Numerically, the exact and approximate results agree to high accuracy and both show that the corrections to the real and imaginary parts can be large. How to obtain the free-quark limit of these and other results is shown explicitly.

K0 anti-K0: mixing
QUARK: SEXTET
CORRECTION: STRONG INTERACTION
STRONG INTERACTION: CORRECTION
APPROXIMATION: LEADING LOGARITHM
QUANTUM CHROMODYNAMICS
CP: violation
NUMERICAL CALCULATIONS

References(24)

Figures(0)

Weak Interactions with Lepton-Hadron Symmetry

- Phys.Rev.D 2 (1970) 1285-1292,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 203-210,
- In *Rosner, J.L. (ed.): New Particles*, 18-25,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 193-200.,
- In *Bologna 1984, Proceedings, Fifty Years of Weak-Interaction Physics* 687-694
•
DOI:
- 10.1103/PhysRevD.2.1285

Rare Decay Modes of the K-Mesons in Gauge Theories

M.K. Gaillard
(
- Fermilab
)
,
Benjamin W. Lee
(
- Fermilab
)

- Phys.Rev.D 10 (1974) 897,
- In *Lichtenberg, D. B. ( Ed.), Rosen, S. P. ( Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 296-315.
•
DOI:
- 10.1103/PhysRevD.10.897

Processes of the Second Order in the Weak Interaction in Asymptotically Free Strong Interaction Theories

A.I. Vainshtein
(
- Moscow, ITEP
)
,
Valentin I. Zakharov
(
- Moscow, ITEP
)
,
V.A. Novikov
(
- Moscow, ITEP
)
,
Mikhail A. Shifman
(
- Moscow, ITEP
)

- Sov.J.Nucl.Phys. 23 (1977) 540-543,
- Yad.Fiz. 23 (1976) 1024-1031,
- Sov.J.Nucl.Phys.(English Transl.) 23 (1977) 540-543

Short Distance Analysis of Weak Interactions

Edward Witten
(
- Princeton U.
)

- Nucl.Phys.B 122 (1977) 109-143
•
DOI:
- 10.1016/0550-3213(77)90428-X

On the Strong Interaction Effects on the K(L) --> 2 mu Decay and K(L) K(s) Mass Difference. A Reply

A.I. Vainshtein
(
- Moscow, ITEP
)
,
Valentin I. Zakharov
(
- Moscow, ITEP
)
,
V.A. Novikov
(
- Moscow, ITEP
)
,
Mikhail A. Shifman
(
- Moscow, ITEP
)

- Phys.Rev.D 16 (1977) 223
•
DOI:
- 10.1103/PhysRevD.16.223

On the Effect of Strong Interactions at Small Distances on the Amplitudes of the Second Order in Weak Interactions

A.I. Vainshtein
(
- Moscow, ITEP
)
,
Valentin I. Zakharov
(
- Moscow, ITEP
)
,
V.A. Novikov
(
- Moscow, ITEP
)
,
Mikhail A. Shifman
(
- Moscow, ITEP
)

- Phys.Lett.B 60 (1975) 71-73
•
DOI:
- 10.1016/0370-2693(75)90530-4

Rare Decay Modes of the K Mesons and K(L)-K(S) Mass Difference in an Asymptotically Free Gauge Theory

Dimitri V. Nanopoulos
(
- CERN
)
,
Graham G. Ross
(
- CERN
)

- Phys.Lett.B 56 (1975) 279-285
•
DOI:
- 10.1016/0370-2693(75)90395-0

Gauge Theory of CP Violation

Steven Weinberg
(
- Harvard U.
)

- Phys.Rev.Lett. 37 (1976) 657
•
DOI:
- 10.1103/PhysRevLett.37.657

Gauge Theoretical Realization of the Superweak Model of CP Violation

P. Sikivie
(
- Maryland U.
)

- Phys.Lett.B 65 (1976) 141-144
•
DOI:
- 10.1016/0370-2693(76)90015-0

Lefthanded Currents and CP Violation

- Nucl.Phys.B 109 (1976) 213-243
•
DOI:
- 10.1016/0550-3213(76)90203-0

Strong Interaction Corrections to K0 anti-K0 Mixing in the Six Quark Model

Frederick J. Gilman
(
- SLAC
)
,
Mark B. Wise
(
- SLAC
)

- Phys.Lett.B 93 (1980) 129-133
•
DOI:
- 10.1016/0370-2693(80)90110-0

A Model of Leptons

Steven Weinberg
(
- MIT, LNS
)

- Phys.Rev.Lett. 19 (1967) 1264-1266,
- Also in *Lichtenberg, D. B. (ed.), Rosen, S. P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 157-159,
- In *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 185-187,
- In *Rosner, J. L. (ed.): New Particles*, 26-28
•
DOI:
- 10.1103/PhysRevLett.19.1264

Weak and Electromagnetic Interactions

Abdus Salam
(
- Imperial Coll., London and
- ICTP, Trieste
)

- Conf.Proc.C 680519 (1968) 367-377,
- Reprinted in *Lichtenberg, D. B. (ed.), Rosen, S. P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 160-170, and in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 188-198,
- Also in *Rosner, J.L. (ed.): New particles* 29-39,
- Also in *Ali, A. (ed.) et al.: Selected papers of Abdus Salam* 244-254
•
DOI:
- 10.1142/9789812795915_0034

CP Violation in the Renormalizable Theory of Weak Interaction

Makoto Kobayashi
(
- Kyoto U.
)
,
Toshihide Maskawa
(
- Kyoto U.
)

- Prog.Theor.Phys. 49 (1973) 652-657,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 218-223.
•
DOI:
- 10.1143/PTP.49.652

Effective Hamiltonian for Delta s = 1 Weak Nonleptonic Decays in the Six Quark Model

Frederick J. Gilman
(
- SLAC
)
,
Mark B. Wise
(
- SLAC
)

- Phys.Rev.D 20 (1979) 2392
•
DOI:
- 10.1103/PhysRevD.20.2392

K ---> pi e+ e- in the Six Quark Model

Frederick J. Gilman
(
- SLAC
)
,
Mark B. Wise
(
- SLAC
)

- Phys.Rev.D 21 (1980) 3150
•
DOI:
- 10.1103/PhysRevD.21.3150

K0 anti-K0 TRANSITION IN THE STANDARD SU(3) x SU(2) x U(1) MODEL

M.I. Vysotsky
(
- Moscow, ITEP
)

- Sov.J.Nucl.Phys. 31 (1980) 797,
- Yad.Fiz. 31 (1980) 1535-1550,
- Yad.Fiz.31 (1980) 1535-1550 and Moscow Inst Theor Exp Phys Gkae - ITEF-79-121 (79,REC.JAN 80) 25 P. (000804)

Grand Unification of Effective Gauge Theories

Lawrence J. Hall
(
- Harvard U.
)

- Nucl.Phys.B 178 (1981) 75-124
•
DOI:
- 10.1016/0550-3213(81)90498-3

Effective Gauge Theories

Steven Weinberg
(
- Harvard U. and
- Harvard-Smithsonian Ctr. Astrophys.
)

- Phys.Lett.B 91 (1980) 51-55
•
DOI:
- 10.1016/0370-2693(80)90660-7

Comment on the Calculation of the Effective Weak Hamiltonian

H. Galic
(
- Boskovic Inst., Zagreb
)

- Phys.Rev.D 22 (1980) 1209
•
DOI:
- 10.1103/PhysRevD.22.1209

$\Lambda^2$ of Effective {QCD} in the Minimal Subtraction Scheme

Robert D.C. Miller
(
- Melbourne U.
)
,
Bruce H.J. McKellar
(
- Melbourne U.
)

- J.Phys.G 7 (1981) L247,
- J. Phys. G9 ( 1983) 467. ( J. Phys. G7 ( 1981) L247) and Melbourne Univ. - UM-P 81-63 (81,REC.SEP.) 12p
•
DOI:
- 10.1088/0305-4616/7/11/001

Is the Strong Coupling Constant Small?

R.Michael Barnett
(
- SLAC
)
,
D. Schlatter
(
- SLAC
)

- Phys.Lett.B 112 (1982) 475-478
•
DOI:
- 10.1016/0370-2693(82)90853-X

Possible Evidence for Substantial Nonperturbative Quantum Chromodynamic Effects

R.Michael Barnett
(
- SLAC
)

- Phys.Rev.Lett. 48 (1982) 1657
•
DOI:
- 10.1103/PhysRevLett.48.1657

Parameters of the Six Quark Model

Bradley D. Gaiser
(
- Stanford U., ITP
)
,
Thomas Tsao
(
- SLAC
)
,
Mark B. Wise
(
- SLAC
)

- Annals Phys. 132 (1981) 66
•
DOI:
- 10.1016/0003-4916(81)90269-4