Potential NRQCD and heavy-quarkonium spectrum at next-to-next-to-next-to-leading order

Kniehl, Bernd A.; Penin, Alexander A.; Smirnov, Vladimir A.; Steinhauser, Matthias

doi:10.1016/s0550-3213(02)00403-0

Cited by 147 publications

(214 citation statements)

References 82 publications

(153 reference statements)

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“…(iii) The corrections to the wave function [31,32,42,43] due to the N 3 LO operators in the effective Hamiltonian [33,34,44,45] and due to the multiple iterations of the next-to-leading and NNLO operators.…”

Section: Jhep04(2014)120mentioning

confidence: 99%

Bottom quark mass from $ \varUpsilon $ sum rules to $ \mathcal{O}\left( {\alpha_s^3} \right) $

Penin

Zerf

2014

J. High Energ. Phys.

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Section: Jhep04(2014)120mentioning

confidence: 99%

Bottom quark mass from $ \varUpsilon $ sum rules to $ \mathcal{O}\left( {\alpha_s^3} \right) $

Penin

Zerf

2014

J. High Energ. Phys.

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“…For these reasons (and perhaps also because it represents the cleanest non-relativistic system bound by the colour force) top-quark pair production near threshold in e + e − annihilation has been thoroughly investigated following the non-relativistic approach of [3,4,5], which treats the leading colour-Coulomb force exactly to all orders in perturbation theory. In this framework, where the strong coupling α s is of the same order as v, the small relative velocity of the top and anti-top, next-to-next-to-leading order (NNLO) corrections have been available for some time [6,7,8,9,10,11,12], next-to-leading and some higher-order logarithms of v have been summed to all orders [13,14,15,16], and the third-order (NNNLO) cross section is now known almost completely [17,18,19], which requires input from three-loop matching coefficients [20], potentials [21,22,23,24,25], and third-order S-wave energy levels and residues [17,26,27,28]. The full NNNLO result should finally clarify the question whether the QCD corrections can be calculated with the required precision.…”

Section: Introductionmentioning

confidence: 99%

Electroweak non-resonant NLO corrections to in the resonance region

2010

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We analyse subleading electroweak effects in the top anti-top resonance production region in e + e − collisions which arise due to the decay of the top and anti-top quarks into the W + W − bb final state. These are NLO corrections adopting the nonrelativistic power counting v ∼ α s ∼ √ α EW . In contrast to the QCD corrections which have been calculated (almost) up to NNNLO, the parametrically larger NLO electroweak contributions have not been completely known so far, but are mandatory for the required accuracy at a future linear collider. The missing parts of these NLO contributions arise from matching coefficients of non-resonant productiondecay operators in unstable-particle effective theory which correspond to off-shell top production and decay and other non-resonant irreducible background processes to tt production. We consider the total cross section of the e + e − → W + W − bb process and additionally implement cuts on the invariant masses of the W + b and W −b pairs.

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“…[27,28] which accounts for corrections of order 1/m 2 . Accounting for the growth of the strong coupling constant for the interaction of a light quark with the heavy quark, we have included in the pure nonrelativistic three-quark Hamiltonian the vacuum polarization corrections of order α 2 s in the form [29,30]:…”

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confidence: 99%

Ground-state triply and doubly heavy baryons in a relativistic three-quark model

2008

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Mass spectra of the ground-state baryons consisting of three or two heavy (b or c) and one light (u, d, s) quarks are calculated in the framework of the relativistic quark model and the hyperspherical expansion. The predictions of masses of the triply and doubly heavy baryons are obtained by employing the perturbation theory for the spin-independent and spin-dependent parts of the three-quark Hamiltonian. The transition from two-quark bound states to three-quark bound states opens new problems which refer both to the form of the quark interaction in the baryon and the structure of three-quark relativistic wave equation describing this system. In general form they were studied and solved already by many authors [1,2,3,4,5,6,7,8] (see other references in Ref.[6]). In practice it is important to have an approach which can allow to obtain simple and reliable estimates for the different experimental quantities regarding to the baryon spectroscopy, the production and decay rates. Whereas heavy baryons with one or two heavy quarks were investigated both theoretically and experimentally, the triply heavy baryons Ω Q 1 Q 2 Q 3 containing b− and c− quarks have not studied so much. The estimate of masses of the lowest-lying (ccc), (ccb), (bbc) and (bbb) states is presented in Refs. [9,10,11]. Their production in a c− or b− quark fragmentation is calculated in Refs. [12,13]. The doubly heavy baryons (Q 1 Q 2 q) represent a unique part of three-quark systems. Two heavy quarks compose a localized quark nucleus while the light quark moves around this color source at a distance of order (1/m q ). This picture leads to the quark-diquark model for doubly heavy baryons which was used in Refs. [14,15,16] for the description of the mass spectrum and decay widths. Moreover, relativistic and bound state corrections to the mass spectra of mesons and baryons (in the quark-diquark approximation) and their different decay rates were also considered in the relativistic quark model [14,15,16,17,18]. Estimates for the masses of baryons containing two heavy quarks have been presented by many authors [4,19,20,21,22,23] using different QCD inspired models for the quark interactions. The aim of the present paper is a twofold one. First, we go beyond the scope of the quark-diquark approximation in Refs. [14,15] treating the total baryon Hamiltonian as a sum of two-quark interactions and using the hyperradial approximation for the ground state triply and doubly heavy baryons. Secondly, we take into account relativistic and bound state corrections of order v 2 /c 2 by the perturbation theory. So, the purpose of our new investigation consists in the elaboration of an alternative calculational scheme of the baryon mass spectrum as compared with the earlier performed investigations in Refs. [14,15] through the use of *

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Potential NRQCD and heavy-quarkonium spectrum at next-to-next-to-next-to-leading order

Cited by 147 publications

References 82 publications

Bottom quark mass from $ \varUpsilon $ sum rules to $ \mathcal{O}\left( {\alpha_s^3} \right) $

Bottom quark mass from $ \varUpsilon $ sum rules to $ \mathcal{O}\left( {\alpha_s^3} \right) $

Electroweak non-resonant NLO corrections to in the resonance region

Ground-state triply and doubly heavy baryons in a relativistic three-quark model

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