Quick Search:
Prog. Theor. Phys. Vol. 109 No. 3 (2003) pp. 371-381
Proper Construction of the Continuum in Light-Cone QCD Sum Rules
Hungchong Kim,1,2
Su Houng Lee1 and
Makoto Oka2
1Institute of Physics and Applied Physics, Yonsei
University, Seoul 120-749, Korea
2Department of Physics, Tokyo Institute of Technology,
Tokyo 152-8552, Japan
(Received December 6, 2002)
Abstract:
A proper method of subtracting the continuum contributions in
light-cone QCD sum rules (LCQSR) is demonstrated. Specifically, we
calculate the continuum corresponding to a typical operator product
expansion (OPE) appearing in LCQSR by properly combining the double
dispersion relation with QCD duality.
We demonstrate how the subtraction terms can
spuriously contribute to the sum rules. In the limit of zero
external momentum, removal of the spurious continuum is found to
yield the sum rules using the single-variable dispersion relation.
The continuum factor constructed in this way differs from that
appearing in usual LCQSR. The difference substantially affects the
extraction of hadronic parameters from the correlation function
involving baryon currents.
URL :
http://ptp.ipap.jp/link?PTP/109/371/
DOI : 10.1143/PTP.109.371
References:
-
M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147 (1979), 385[CrossRef].
-
M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147 (1979), 448[CrossRef].
-
L. J. Reinders, H. Rubinstein and S. Yazaki, Phys. Rep. 127 (1985), 1[CrossRef].
-
H. Kim, S. H. Lee and M. Oka, Phys. Lett. B 453 (1999), 199, [CrossRef]
nucl-th/9809004[e-print arXiv].
- H. Kim, Eur. Phys. J. A 7 (2000), 121,
nucl-th/9904049[e-print arXiv].
-
H. Kim, S. H. Lee and M. Oka, Phys. Rev. D 60 (1999), 034007, [APS]
nucl-th/9811096[e-print arXiv].
-
H. Kim, T. Doi, M. Oka and S. H. Lee, Nucl. Phys. A 662 (2000), 371, [CrossRef]
nucl-th/9909007[e-print arXiv].
-
H. Kim, T. Doi, M. Oka and S. H. Lee, Nucl. Phys. A 678 (2000), 295, [CrossRef]
nucl-th/0002011[e-print arXiv].
-
T. Doi, H. Kim and M. Oka, Phys. Rev. C 62 (2000), 055202, [APS]
nucl-th/0004065[e-print arXiv].
-
T. M. Aliev and M. Savci, Phys. Rev. D 61 (2000), 016008, [APS]
hep-ph/9904296[e-print arXiv].
-
S. L. Zhu, W. Y. Hwang and Y. B. Dai, Phys. Rev. C 59 (1999), 442, [APS]
nucl-th/9809033[e-print arXiv].
-
V. M. Belyaev, V. M. Braun, A. Khodjamirian and R. Ruckl, Phys. Rev. D 51 (1995), 6177, [APS]
hep-ph/9410280[e-print arXiv].
-
B. L. Ioffe and A. V. Smilga, Nucl. Phys. B 232 (1984), 109[CrossRef].
-
T. M. Aliev, A. Ozpineci and M. Savci, Nucl. Phys. A 678 (2000), 443, [CrossRef]
hep-ph/0002228[e-print arXiv].
-
I. I. Balitsky, V. M. Braun and A. V. Kolesnichenko, Nucl. Phys. B 312 (1989), 509[CrossRef].
- V. M. Braun and I. E. Halperin, Z. Phys. C 44 (1989), 157.
- V. M. Braun and I. E. Halperin, Z. Phys. C 48 (1990), 239.
- I. E. Halperin, Z. Phys. C 56 (1992), 615.
-
H. Kim, Phys. Rev. C 61 (2000), 019801, [APS]
nucl-th/9903040[e-print arXiv].
- B. L. Ioffe, Phys. Atom. Nucl. 58 (1995), 1408,
hep-ph/9501319[e-print arXiv].
-
B. Krippa and M. C. Birse, Phys. Rev. C 61 (2000), 019802, [APS]
nucl-th/9904003[e-print arXiv].
- H. Kim, Prog. Theor. Phys. 103 (2000), 1001, [PTP]
nucl-th/9906081[e-print arXiv].
-
H. Kim, hep-ph/0206170[e-print arXiv], to be published in Journal of the Korean Physical Society.
- A. Anastassov et al. [CLEO Collaboration],
Phys. Rev. D 65 (2002), 032003, [APS]
hep-ex/0108043[e-print arXiv].
-
D. Becirevic and A. L. Yaouanc, J. High Energy Phys. 03 (1999), 021, [CrossRef]
hep-ph/9901431[e-print arXiv].
-
A. Abada et al., hep-ph/0206237[e-print arXiv].
- V. A. Novikov, M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Fortsch. Phys. 32 (1985), 585.
-
V. A. Beilin and A. V. Radyushkin, Nucl. Phys. B 260 (1985), 61[CrossRef].
-
P. Ball and V. M. Braun, Phys. Rev. D 49 (1994), 2472, [APS]
hep-ph/9307291[e-print arXiv].
-
V. A. Nesterenko and A. V. Radyushkin, Phys. Lett. B 115 (1982), 410[CrossRef].