R and R{sub {tau}} ratios at the five-loop level of perturbative QCD

Journal Article · Tue Nov 01 04:00:00 EST 1994 · International Journal of Theoretical Physics

DOI:https://doi.org/10.1007/BF00675802· OSTI ID:69602

Samuel, M A ^[1]; Li, G ^[1]

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1. Oklahoma State Univ., Stillwater, OK (United States)

The authors study perturbative QCD at the five-loop level. In particular they consider R = {sigma}{sub tot}(e{sup +}e{sup {minus}} {yields} hadrons)/{sigma}(e{sup +}e{sup {minus}} {yields} {mu}{sup +}{mu}{sup {minus}}) and R{sub {tau}} = {Gamma}({tau} {yields} {nu} + hadrons)/{Gamma}({tau} {yields} e{nu}{bar {nu}}). They use their method to estimate the five-loop coefficients. As a result, they obtain {alpha}{sub s}(M{sub Z}) = 0.1186(11) and {alpha}{sub s}(34 GeV) = 0.1396(16), which are accurate at the 1% level. They also find R = 3.8350(18), which is consistent with R{sub {tau}} and is accurate to 0.05%.

• Sponsoring Organization: USDOE
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 69602
• Journal Information: International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 11 Vol. 33; ISSN 0020-7748; ISSN IJTPBM
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANNIHILATION
BRANCHING RATIO
ELECTRON-POSITRON INTERACTIONS
HADRONS
MUONS MINUS
MUONS PLUS
QUANTUM CHROMODYNAMICS
SEMILEPTONIC DECAY
TAU PARTICLES