메뉴 건너뛰기




Volumn 2008, Issue 9, 2008, Pages

α s and the τ hadronic width: Fixed-order, contour- improved and higher-order perturbation theory

Author keywords

QCD; Renormalization group; Renormalization regularization and renormalons

Indexed keywords


EID: 58149292043     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/09/044     Document Type: Article
Times cited : (175)

References (68)
  • 2
    • 33846673212 scopus 로고    scopus 로고
    • Experimental tests of asymptotic freedom
    • S. Bethke, Experimental tests of asymptotic freedom 2007 Prog. Part. Nucl. Phys. 58 351 [hep-ex/0606035]
    • (2007) Prog. Part. Nucl. Phys. , vol.58 , Issue.2 , pp. 351
    • Bethke, S.1
  • 4
    • 0000589776 scopus 로고
    • QCD analysis of the τ hadronic width
    • E. Braaten, S. Narison and A. Pich, QCD analysis of the τ hadronic width 1992 Nucl. Phys. B 373 581
    • (1992) Nucl. Phys. , vol.373 , Issue.3 , pp. 581
    • Braaten, E.1    Narison, S.2    Pich, A.3
  • 5
    • 4244100798 scopus 로고
    • Measurement of alpha-s from τ decays
    • CLEO collaboration, T. Coan et al., Measurement of alpha-s from τ decays 1995 Phys. Lett. B 356 580
    • (1995) Phys. Lett. , vol.356 , Issue.4 , pp. 580
    • Collaboration, C.1    Coan, T.2
  • 6
    • 0040587122 scopus 로고    scopus 로고
    • Measurement of the spectral functions of axial-vector hadronic τ decays and determination of αs({M}τ2)
    • 2), 1998 Eur. Phys. J. C 4 409
    • (1998) Eur. Phys. J. , vol.4 , Issue.3 , pp. 409
    • Collaboration, A.1    Barate, R.2
  • 7
    • 0007194082 scopus 로고    scopus 로고
    • Measurement of the strong coupling constant αs and the vector and axial-vector spectral functions in hadronic τ decays
    • s and the vector and axial-vector spectral functions in hadronic τ decays 1999 Eur. Phys. J. C 7 571 [hep-ex/9808019]
    • (1999) Eur. Phys. J. , vol.7 , Issue.4 , pp. 571
    • Collaboration, O.1    Ackerstaff, K.2
  • 8
    • 27644491294 scopus 로고    scopus 로고
    • Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications
    • ALEPH collaboration, S. Schael et al., Branching ratios and spectral functions of τ decays: final ALEPH measurements and physics implications 2005 Phys. Rep. 421 191 [hep-ex/0506072]
    • (2005) Phys. Rep. , vol.421 , Issue.5-6 , pp. 191
    • Collaboration, A.1    Schael, S.2
  • 9
    • 33749479686 scopus 로고    scopus 로고
    • The physics of hadronic τ decays
    • M. Davier, A. Höcker and Z. Zhang, The physics of hadronic τ decays 2006 Rev. Mod. Phys. 78 1043 [hep-ph/0507078]
    • (2006) Rev. Mod. Phys. , vol.78 , Issue.4 , pp. 1043
    • Davier, M.1    Höcker, A.2    Zhang, Z.3
  • 11
    • 33750393570 scopus 로고
    • QCD predictions for the decay of the τ lepton
    • E. Braaten, QCD predictions for the decay of the τ lepton 1988 Phys. Rev. Lett. 60 1606
    • (1988) Phys. Rev. Lett. , vol.60 , Issue.16 , pp. 1606
    • Braaten, E.1
  • 12
    • 0001252434 scopus 로고
    • QCD formulation of the τ decay and determination of ΛmS
    • MS, 1988 Phys. Lett. B 211 183
    • (1988) Phys. Lett. , vol.211 , Issue.1-2 , pp. 183
    • Narison, S.1    Pich, A.2
  • 13
    • 33645908134 scopus 로고
    • The perturbative QCD corrections to the ratio R for τ decay
    • E. Braaten, The perturbative QCD corrections to the ratio R for τ decay 1989 Phys. Rev. D 39 1458
    • (1989) Phys. Rev. , vol.39 , Issue.5 , pp. 1458
    • Braaten, E.1
  • 14
    • 33744619164 scopus 로고
    • Electroweak radiative corrections to τ decay
    • W.J. Marciano and A. Sirlin, Electroweak radiative corrections to τ decay 1988 Phys. Rev. Lett. 61 1815
    • (1988) Phys. Rev. Lett. , vol.61 , Issue.16 , pp. 1815
    • Marciano, W.J.1    Sirlin, A.2
  • 15
    • 0001067956 scopus 로고
    • Electroweak radiative corrections to the semihadronic decay rate of the τ lepton
    • E. Braaten and C.-S. Li, Electroweak radiative corrections to the semihadronic decay rate of the τ lepton 1990 Phys. Rev. D 42 3888
    • (1990) Phys. Rev. , vol.42 , Issue.11 , pp. 3888
    • Braaten, E.1    Li, C.-S.2
  • 16
    • 34249832031 scopus 로고
    • Renormalization group analysis of the τ-lepton decay within QCD
    • A.A. Pivovarov, Renormalization group analysis of the τ-lepton decay within QCD 1992 Z. Physik C 53 461 [hep-ph/0302003]
    • (1992) Z. Physik , vol.53 , Issue.3 , pp. 461
    • Pivovarov, A.A.1
  • 17
  • 18
    • 0041976339 scopus 로고
    • Resummation of (β0αs)n corrections in QCD: Techniques and applications to the τ hadronic width and the heavy quark pole mass
    • n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass 1995 Nucl. Phys. B 452 563 [hep-ph/9502300]
    • (1995) Nucl. Phys. , vol.452 , Issue.3 , pp. 563
    • Ball, P.1    Beneke, M.2    Braun, V.M.3
  • 20
    • 26044450251 scopus 로고    scopus 로고
    • Contour-improved versus fixed-order perturbation theory in hadronic τ decays
    • M. Jamin, Contour-improved versus fixed-order perturbation theory in hadronic τ decays 2005 J. High Energy Phys. JHEP09(2005)058 [hep-ph/0509001]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.9 , pp. 058
    • Jamin, M.1
  • 21
    • 0000423882 scopus 로고    scopus 로고
    • Renormalons
    • M. Beneke, Renormalons 1999 Phys. Rep. 317 1 [hep-ph/9807443]
    • (1999) Phys. Rep. , vol.317 , Issue.1-2 , pp. 1
    • Beneke, M.1
  • 22
    • 33645920338 scopus 로고    scopus 로고
    • Perturbative quark mass corrections to the τ hadronic width
    • A. Pich and J. Prades, Perturbative quark mass corrections to the τ hadronic width 1998 J. High Energy Phys. JHEP06(1998)013 [hep-ph/9804462]
    • (1998) J. High Energy Phys. , vol.1998 , Issue.6 , pp. 013
    • Pich, A.1    Prades, J.2
  • 23
    • 33646042551 scopus 로고    scopus 로고
    • Strange quark mass determination from Cabibbo-suppressed τ decays
    • A. Pich and J. Prades, Strange quark mass determination from Cabibbo-suppressed τ decays 1999 J. High Energy Phys. JHEP10(1999)004 [hep-ph/9909244]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.10 , pp. 004
    • Pich, A.1    Prades, J.2
  • 24
    • 0000159471 scopus 로고
    • Decay correlations of heavy leptons in e+e-l+l
    • - 1971 Phys. Rev. D 4 2821 [Erratum 1976 Phys. Rev. D 13 771]
    • (1971) Phys. Rev. , vol.4 , Issue.9 , pp. 2821
    • Tsai, Y.-S.1
  • 25
    • 0000699669 scopus 로고
    • Some simple vacuum polarization phenomenology: E+e- Hadrons: Muonic-atom x-ray discrepancy and gμ-2
    • μ-2 1974 Phys. Rev. D 10 3714
    • (1974) Phys. Rev. , vol.10 , Issue.11 , pp. 3714
    • Adler, S.L.1
  • 28
    • 0041028464 scopus 로고
    • Total hadronic cross-section in e+e- annihilation at the four loop level of perturbative QCD
    • - annihilation at the four loop level of perturbative QCD 1991 Phys. Rev. Lett. 66 560 [Erratum 1991 Phys. Rev. Lett. 66 2416]
    • (1991) Phys. Rev. Lett. , vol.66 , Issue.5 , pp. 560
    • Surguladze, L.R.1    Samuel, M.A.2
  • 29
    • 0000487603 scopus 로고
    • Deep inelastic scattering beyond the leading order in asymptotically free gauge theories
    • W.A. Bardeen, A.J. Buras, D.W. Duke and T. Muta, Deep inelastic scattering beyond the leading order in asymptotically free gauge theories 1978 Phys. Rev. D 18 3998
    • (1978) Phys. Rev. , vol.18 , Issue.11 , pp. 3998
    • Bardeen, W.A.1    Buras, A.J.2    Duke, D.W.3    Muta, T.4
  • 30
    • 33750811194 scopus 로고
    • Optimized perturbation theory
    • P.M. Stevenson, Optimized perturbation theory 1981 Phys. Rev. D 23 2916
    • (1981) Phys. Rev. , vol.23 , Issue.12 , pp. 2916
    • Stevenson, P.M.1
  • 31
    • 1542655523 scopus 로고
    • An island of ambiguity in perturbative QCD: Has Stevenson found the treasure?
    • M.R. Pennington, An island of ambiguity in perturbative QCD: has Stevenson found the treasure? 1982 Phys. Rev. D 26 2048
    • (1982) Phys. Rev. , vol.26 , Issue.8 , pp. 2048
    • Pennington, M.R.1
  • 32
    • 0001689351 scopus 로고
    • Estimates of the higher order QCD corrections to R(s), Rτ and deep inelastic scattering sum rules
    • τ and deep inelastic scattering sum rules 1995 Mod. Phys. Lett. A 10 235 [hep-ph/9502348]
    • (1995) Mod. Phys. Lett. , vol.10 , Issue.3 , pp. 235
    • Kataev, A.L.1    Starshenko, V.V.2
  • 35
    • 4243924798 scopus 로고
    • Large order perturbation theory for a physical quantity
    • M. Beneke, Large order perturbation theory for a physical quantity 1993 Nucl. Phys. B 405 424
    • (1993) Nucl. Phys. , vol.405 , Issue.2-3 , pp. 424
    • Beneke, M.1
  • 36
    • 0038840948 scopus 로고
    • Large-N expansion of QED: Asymptotic photon propagator and contributions to the muon anomaly, for any number of loops
    • D.J. Broadhurst, Large-N expansion of QED: asymptotic photon propagator and contributions to the muon anomaly, for any number of loops 1993 Z. Physik C 58 339
    • (1993) Z. Physik , vol.58 , Issue.2 , pp. 339
    • Broadhurst, D.J.1
  • 37
    • 0030600822 scopus 로고    scopus 로고
    • QCD analysis of hadronic τ decays revisited
    • M. Neubert, QCD analysis of hadronic τ decays revisited 1996 Nucl. Phys. B 463 511 [hep-ph/9509432]
    • (1996) Nucl. Phys. , vol.463 , Issue.2-3 , pp. 511
    • Neubert, M.1
  • 38
    • 0003141374 scopus 로고    scopus 로고
    • Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rule
    • D.J. Broadhurst, A.L. Kataev and C.J. Maxwell, Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rule 2001 Nucl. Phys. B 592 247 [hep-ph/0007152]
    • (2001) Nucl. Phys. , vol.592 , Issue.1-2 , pp. 247
    • Broadhurst, D.J.1    Kataev, A.L.2    Maxwell, C.J.3
  • 40
    • 33744742734 scopus 로고
    • On the structure of infrared renormalons in physical processes at high-energies
    • A.H. Mueller, On the structure of infrared renormalons in physical processes at high-energies 1985 Nucl. Phys. B 250 327
    • (1985) Nucl. Phys. , vol.250 , Issue.1-4 , pp. 327
    • Mueller, A.H.1
  • 42
    • 0040561156 scopus 로고    scopus 로고
    • Large-order behaviour due to ultraviolet renormalons in QCD
    • M. Beneke, V.M. Braun and N. Kivel, Large-order behaviour due to ultraviolet renormalons in QCD 1997 Phys. Lett. B 404 315 [hep-ph/9703389]
    • (1997) Phys. Lett. , vol.404 , Issue.3-4 , pp. 315
    • Beneke, M.1    Braun, V.M.2    Kivel, N.3
  • 43
    • 0000704178 scopus 로고
    • Wilson expansion for correlators of vector currents at the two loop level: Dimension four operators
    • K.G. Chetyrkin, V.P. Spiridonov and S.G. Gorishnii, Wilson expansion for correlators of vector currents at the two loop level: dimension four operators 1985 Phys. Lett. B 160 149
    • (1985) Phys. Lett. , vol.160 , Issue.1-3 , pp. 149
    • Chetyrkin, K.G.1    Spiridonov, V.P.2    Gorishnii, S.G.3
  • 44
    • 0001463756 scopus 로고
    • Renormalization scheme invariant large order perturbation theory and infrared renormalons in QCD
    • M. Beneke, Renormalization scheme invariant large order perturbation theory and infrared renormalons in QCD 1993 Phys. Lett. B 307 154
    • (1993) Phys. Lett. , vol.307 , Issue.1-2 , pp. 154
    • Beneke, M.1
  • 45
    • 4243547054 scopus 로고    scopus 로고
    • Resummation of the hadronic τ decay width with modified Borel transform method
    • G. Cvetic, C. Dib, T. Lee and I. Schmidt, Resummation of the hadronic τ decay width with modified Borel transform method 2001 Phys. Rev. D 64 093016 [hep-ph/0106024]
    • (2001) Phys. Rev. , vol.64 , Issue.9 , pp. 093016
    • Cvetic, G.1    Dib, C.2    Lee, T.3    Schmidt, I.4
  • 46
    • 0002575091 scopus 로고    scopus 로고
    • Normalization constants of large order behavior
    • T. Lee, Normalization constants of large order behavior 1999 Phys. Lett. B 462 1 [hep-ph/9908225]
    • (1999) Phys. Lett. , vol.462 , Issue.1-2 , pp. 1
    • Lee, T.1
  • 47
    • 3543143457 scopus 로고    scopus 로고
    • Determination of the bottom quark mass from the Upsilon(1S) system
    • A. Pineda, Determination of the bottom quark mass from the Upsilon(1S) system 2001 J. High Energy Phys. JHEP06(2001)022 [hep-ph/0105008]
    • (2001) J. High Energy Phys. , vol.2001 , Issue.6 , pp. 022
    • Pineda, A.1
  • 50
    • 0000521701 scopus 로고
    • Mass corrections to the τ decay rate
    • K.G. Chetyrkin and A. Kwiatkowski, Mass corrections to the τ decay rate 1993 Z. Physik C 59 525 [hep-ph/9805232]
    • (1993) Z. Physik , vol.59 , Issue.3 , pp. 525
    • Chetyrkin, K.G.1    Kwiatkowski, A.2
  • 52
    • 33749820673 scopus 로고    scopus 로고
    • Scalar Kπ form factor and light quark masses
    • M. Jamin, J.A. Oller and A. Pich, Scalar Kπ form factor and light quark masses 2006 Phys. Rev. D 74 074009 [hep-ph/0605095]
    • (2006) Phys. Rev. , vol.74 , Issue.7 , pp. 074009
    • Jamin, M.1    Oller, J.A.2    Pich, A.3
  • 54
    • 33744755304 scopus 로고
    • Behavior of current divergences under SU(3) × SU(3)
    • M. Gell-Mann, R.J. Oakes and B. Renner, Behavior of current divergences under SU(3) × SU(3), 1968 Phys. Rev. 175 2195
    • (1968) Phys. Rev. , vol.175 , Issue.5 , pp. 2195
    • Gell-Mann, M.1    Oakes, R.J.2    Renner, B.3
  • 55
    • 0002165884 scopus 로고    scopus 로고
    • Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
    • M. Jamin, Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation 2002 Phys. Lett. B 538 71 [hep-ph/0201174]
    • (2002) Phys. Lett. , vol.538 , Issue.1-2 , pp. 71
    • Jamin, M.1
  • 57
    • 0001653943 scopus 로고
    • Renormalization of four quark operators and QCD sum rules
    • L.E. Adam and K.G. Chetyrkin, Renormalization of four quark operators and QCD sum rules 1994 Phys. Lett. B 329 129 [hep-ph/9404331]
    • (1994) Phys. Lett. , vol.329 , Issue.1 , pp. 129
    • Adam, L.E.1    Chetyrkin, K.G.2
  • 58
    • 0001466169 scopus 로고
    • Anomalous dimensions of spin-0 four quark operators without derivatives
    • M. Jamin and M. Kremer, Anomalous dimensions of spin-0 four quark operators without derivatives 1986 Nucl. Phys. B 277 349
    • (1986) Nucl. Phys. , vol.277 , pp. 349
    • Jamin, M.1    Kremer, M.2
  • 60
    • 0001314603 scopus 로고
    • Instanton contributions to the τ decay widths
    • I.I. Balitsky, M. Beneke and V.M. Braun, Instanton contributions to the τ decay widths 1993 Phys. Lett. B 318 371 [hep-ph/9309217]
    • (1993) Phys. Lett. , vol.318 , Issue.2 , pp. 371
    • Balitsky, I.I.1    Beneke, M.2    Braun, V.M.3
  • 62
    • 43949089526 scopus 로고    scopus 로고
    • Unraveling duality violations in hadronic τ decays
    • O. Cat, M. Golterman and S. Peris, Unraveling duality violations in hadronic τ decays 2008 Phys. Rev. D 77 093006 [0803.0246]
    • (2008) Phys. Rev. , vol.77 , Issue.9 , pp. 093006
    • Cat, O.1    Golterman, M.2    Peris, S.3
  • 63
    • 41049099896 scopus 로고    scopus 로고
    • An improved calculation of the isospin-symmetry-breaking corrections to superallowedFermi beta decay
    • I.S. Towner and J.C. Hardy, An improved calculation of the isospin-symmetry-breaking corrections to superallowedFermi beta decay 2008 Phys. Rev. C 77 025501 [0710.3181]
    • (2008) Phys. Rev. , vol.77 , Issue.2 , pp. 025501
    • Towner, I.S.1    Hardy, J.C.2
  • 64
    • 0001350459 scopus 로고    scopus 로고
    • The four-loop β-function in quantum chromodynamics
    • T. van Ritbergen, J.A.M. Vermaseren and S.A. Larin, The four-loop β-function in quantum chromodynamics 1997 Phys. Lett. B 400 379 [hep-ph/9701390]
    • (1997) Phys. Lett. , vol.400 , Issue.3-4 , pp. 379
    • Van Ritbergen, T.1    Vermaseren, J.A.M.2    Larin, S.A.3
  • 65
    • 14044252821 scopus 로고    scopus 로고
    • The four-loop QCD β-function and anomalous dimensions
    • M. Czakon, The four-loop QCD β-function and anomalous dimensions 2005 Nucl. Phys. B 710 485 [hep-ph/0411261]
    • (2005) Nucl. Phys. , vol.710 , Issue.1-2 , pp. 485
    • Czakon, M.1
  • 66
    • 0001364758 scopus 로고    scopus 로고
    • Strong coupling constant with flavour thresholds at four loops in the MS-bar scheme
    • K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser, Strong coupling constant with flavour thresholds at four loops in the MS-bar scheme 1997 Phys. Rev. Lett. 79 2184 [hep-ph/9706430]
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.12 , pp. 2184
    • Chetyrkin, K.G.1    Kniehl, B.A.2    Steinhauser, M.3
  • 67
    • 0342592357 scopus 로고    scopus 로고
    • RunDec: A Mathematica package for running and decoupling of the strong coupling and quark masses
    • K.G. Chetyrkin, J.H. Kuhn and M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses 2000 Comput. Phys. Commun. 133 43 [hep-ph/0004189]
    • (2000) Comput. Phys. Commun. , vol.133 , Issue.1 , pp. 43
    • Chetyrkin, K.G.1    Kuhn, J.H.2    Steinhauser, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.