New high order relations between physical observables in perturbative QCD

Groote, S.; Korner, J.G.; Pivovarov, A.A.; Schilcher, K.

doi:10.1103/PhysRevLett.79.2763

New high order relations between physical observables in perturbative QCD

S. Groote
(
- Mainz U., Inst. Phys.
)
,
J.G. Korner
(
- Mainz U., Inst. Phys.
)
,
A.A. Pivovarov
(
- Mainz U., Inst. Phys. and
- Moscow, INR
)
,
K. Schilcher
(
- Mainz U., Inst. Phys.
)

Mar, 1997

7 pages

Published in:

Phys.Rev.Lett. 79 (1997) 2763-2766

e-Print:

hep-ph/9703208 [hep-ph]

DOI:

10.1103/PhysRevLett.79.2763

Report number:

MZ-TH-97-09

View in:

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Abstract:

We exploit the fact that within massless perturbative QCD the same Green's function determines the hadronic contribution to the

\tau

decay width and the moments of the

e~+e~-

cross section. This allows one to obtain relations between physical observables in the two processes up to an unprecedented high order of perturbative QCD. A precision measurement of the

\tau

decay width allows one then to predict the first few moments of the spectral density in

e~+e~-

annihilations integrated up to

s\sim m_\tau~2

with high accuracy. The proposed tests are in reach of present experimental capabilities.

Note:

7 pages, Latex, no figures

quantum chromodynamics: massless
perturbation theory: higher-order
electron positron: annihilation
tau: semileptonic decay
tau: width
spectral representation: moment
renormalization group
numerical calculations

References(18)

Figures(0)

Status of precision tests of the standard model

Guido Altarelli
(
- CERN and
- Rome III U.
)

- NATO Sci.Ser.B 365 (1997) 1-31,
•
e-Print:
- hep-ph/9611239
•
DOI:
- 10.1007/978-1-4615-5963-4_1

The Proton Spin, Axial Vector Current and Mesonic Cloud

Nils A. Tornqvist
(
- Helsinki U.
)

- Phys.Lett.B 221 (1989) 70-76
•
DOI:
- 10.1016/0370-2693(89)90194-9

Renormalization Scheme Independent QCD and QED: The Method of Effective Charges

G. Grunberg
(
- Ecole Polytechnique
)

- Phys.Rev.D 29 (1984) 2315-2338
•
DOI:
- 10.1103/PhysRevD.29.2315

Optimized Perturbation Theory

Paul M. Stevenson
(
- Wisconsin U., Madison
)

- Phys.Rev.D 23 (1981) 2916
•
DOI:
- 10.1103/PhysRevD.23.2916

Optimization and the Ultimate Convergence of QCD Perturbation Theory

Paul M. Stevenson
(
- CERN
)

- Nucl.Phys.B 231 (1984) 65-90
•
DOI:
- 10.1016/0550-3213(84)90307-9

On the Elimination of Scale Ambiguities in Perturbative Quantum Chromodynamics

Stanley J. Brodsky
(
- Princeton, Inst. Advanced Study and
- SLAC
)
,
G.Peter Lepage
(
- Princeton, Inst. Advanced Study and
- Cornell U., LNS
)
,
Paul B. Mackenzie
(
- Fermilab
)

- Phys.Rev.D 28 (1983) 228
•
DOI:
- 10.1103/PhysRevD.28.228

Commensurate scale relations in quantum chromodynamics

Stanley J. Brodsky
(
- SLAC
)
,
Hung Jung Lu
(
- Maryland U.
)

- Phys.Rev.D 51 (1995) 3652-3668
•
e-Print:
- hep-ph/9405218
•
DOI:
- 10.1103/PhysRevD.51.3652

QCD analysis of the tau hadronic width

- Nucl.Phys.B 373 (1992) 581-612
•
DOI:
- 10.1016/0550-3213(92)90267-F

QCD tests from tau decays

A. Pich
(
- Valencia U.
)

•
e-Print:
- hep-ph/9701305

The Four loop beta function in quantum chromodynamics

T. van Ritbergen
(
- Michigan U.
)
,
J.A.M. Vermaseren
(
- NIKHEF, Amsterdam
)
,
S.A. Larin
(
- Moscow, INR
)

- Phys.Lett.B 400 (1997) 379-384
•
e-Print:
- hep-ph/9701390
•
DOI:
- 10.1016/S0370-2693(97)00370-5

The $O(\alpha^{3}_{s})$ -corrections to $\sigma_{tot}(e^{+}e^{-}\rightarrow hadrons)$ and $\Gamma(\tau^{-} \rightarrow \nu_{\tau} + hadrons)$ in QCD

- Phys.Lett.B 259 (1991) 144-150
•
DOI:
- 10.1016/0370-2693(91)90149-K

Total hadronic cross-section in e+ e- annihilation at the four loop level of perturbative QCD

Levan R. Surguladze
(
- Moscow, INR and
- Tbilisi State U.
)
,
Mark A. Samuel
(
- Oklahoma State U.
)

- Phys.Rev.Lett. 66 (1991) 560-563,
- Phys.Rev.Lett. 66 (1991) 2416 (erratum),
- Norman Standard Model 1990:206-210
•
DOI:
- 10.1103/PhysRevLett.66.560

Total hadronic cross-section in e+ e- annihilation at the four loop level of perturbative QCD

Levan R. Surguladze
(
- Moscow, INR and
- Tbilisi State U.
)
,
Mark A. Samuel
(
- Oklahoma State U.
)

- Phys.Rev.Lett. 66 (1991) 560-563,
- Phys.Rev.Lett. 66 (1991) 2416 (erratum),
- Norman Standard Model 1990:206-210
•
DOI:
- 10.1103/PhysRevLett.66.560

The perturbative QCD prediction to R(tau) revisited

F. Le Diberder
(
- Orsay, LAL
)
,
A. Pich
(
- CERN
)

- Phys.Lett.B 286 (1992) 147-152
•
DOI:
- 10.1016/0370-2693(92)90172-Z

A Prediction for the four loop beta function in QCD

John R. Ellis
(
- CERN
)
,
Marek Karliner
(
- Tel Aviv U.
)
,
Mark A. Samuel
(
- McGill U. and
- SLAC
)

- Phys.Lett.B 400 (1997) 176-181
•
e-Print:
- hep-ph/9612202
•
DOI:
- 10.1016/S0370-2693(97)00342-0

Estimates of the higher order QCD corrections to R(s), R(tau) and deep inelastic scattering sum rules

- Mod.Phys.Lett.A 10 (1995) 235-250
•
e-Print:
- hep-ph/9502348
•
DOI:
- 10.1142/S0217732395000272

Hadronic contributions to g-2 of the leptons and to the effective fine structure constant alpha (M(z)**2)

S. Eidelman
(
- Novosibirsk, IYF
)
,
F. Jegerlehner
(
- PSI, Villigen
)

- Z.Phys.C 67 (1995) 585-602
•
e-Print:
- hep-ph/9502298
•
DOI:
- 10.1007/BF01553984

Summary of experiments with the neutral detector at the e+ e- storage ring VEPP-2M

et al.

- Phys.Rept. 202 (1991) 99-170
•
DOI:
- 10.1016/0370-1573(91)90127-8