The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3

Larin, S.A.; Ritbergen, T. van; Vermaseren, J.A.M.

doi:10.1016/0550-3213(94)00574-x

Cited by 186 publications

(220 citation statements)

References 48 publications

(63 reference statements)

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“…To facilitate the numerical analysis, we then prefer to rewrite the full expression for M n in terms of the coupling a defined in the n l -flavour theory. From the matching relations for a [45][46][47], it follows that this just amounts to using the corresponding β 1 with n l flavours in eq. (2.8).…”

Section: Coulomb Resummationmentioning

confidence: 99%

Bottom quark mass and αs from the ϒ system

Jamin¹,

Pich²

1997

Nuclear Physics B

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The mass of the bottom quark and the strong coupling constant α s are determined from QCD moment sum rules for the Υ system. Two analyses are performed using both the pole mass M b as well as the mass m b in the M S scheme. In the pole-mass scheme large perturbative corrections resulting from coulombic contributions have to be resummed. In the M S scheme this can be avoided by an appropriate choice for the renormalization scale. For the bottom quark mass we obtain M b = 4.60 ± 0.02 GeV and m b (m b ) = 4.13± 0.06 GeV. Our combined result from both determinations for the strong coupling is α s (M Z ) = 0.119 ± 0.008.

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Section: Coulomb Resummationmentioning

confidence: 99%

Bottom quark mass and αs from the ϒ system

Jamin¹,

Pich²

1997

Nuclear Physics B

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“…The decoupling of heavy quark flavor is realized by the second term on the RHS of Eq. (32) [118][119][120][121], while the third factor gets rid of the additional factor Γ(1 + ǫ) exp(ǫγ E ) through to O(α 2 s ) [122]. The scalar form factors are functions of x.…”

Section: Hard Function From Qcd Heavy Quark Form Factormentioning

confidence: 99%

Electroweak production of top-quark pairs ine+e−annihilation at NNLO in QCD: The vector current contributions

Gao

Zhu

2014

Phys. Rev. D

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We report on a calculation of the vector current contributions to the electroweak production of top quark pairs in e + e − annihilation at next-to-next-to-leading order in Quantum Chromodynamics.Our setup is fully differential and can be used to calculate any infrared-safe observable. The real emission contributions are handled by a next-to-next-to-leading order generalization of the phasespace slicing method. We demonstrate the power of our technique by considering its application to various inclusive and exclusive observables.

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“…s (m) at the scale of the pole mass. Hence we re-express the effective coupling using the decoupling relation [52,53] …”

Section: A Threshold Expansionmentioning

confidence: 99%

Reconstruction of heavy quark current correlators at

et al. 2009

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We construct approximate formulas for the O(α 3 s ) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Padé approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use our results to estimate additional terms in these expansions.

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The large quark mass expansion of Λ(Z0 → hadrons) and Λ(τ− → vτ + hadrons)in the order αs3

Cited by 186 publications

References 48 publications

Bottom quark mass and αs from the ϒ system

Bottom quark mass and αs from the ϒ system

Electroweak production of top-quark pairs ine+e−annihilation at NNLO in QCD: The vector current contributions

Reconstruction of heavy quark current correlators at

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