Reconstruction of heavy quark current correlators at

Kiyo, Y.; Maier, A. A.; Maierhöfer, Philipp; Marquard, Peter

doi:10.1016/j.nuclphysb.2009.08.010

Cited by 124 publications

(188 citation statements)

References 53 publications

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“…[33][34][35] and the three-loop terms agree with refs. [36][37][38]. 3 At n-loop order the leading term of ∆ (n) behaves as (α s /β) n which is determined by the Sommerfeld factor 4 S = z/(1 − e −z ) with z = C F α s π/β.…”

Section: Jhep01(2017)074mentioning

confidence: 99%

Massive three-loop form factor in the planar limit

Henn

Smirnov

et al. 2017

J. High Energ. Phys.

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Abstract:We compute the three-loop QCD corrections to the massive quark-anti-quarkphoton form factors F 1 and F 2 in the large-N c limit. The analytic results are expressed in terms of Goncharov polylogarithms. This allows for a straightforward numerical evaluation. We also derive series expansions, including power suppressed terms, for three kinematic regions corresponding to small and large invariant masses of the photon momentum, and small velocities of the heavy quarks.

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Section: Jhep01(2017)074mentioning

confidence: 99%

Massive three-loop form factor in the planar limit

Henn

Smirnov

et al. 2017

J. High Energ. Phys.

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“…The theoretical expression for the moments is related to derivatives of the vacuum polarization function at q 2 = 0. Four-loop [O(α s 3 )] results for the vacuum polarization function have appeared for the first moment [240][241][242], second moment [243], third moment [244], and approximate results for higher moments [245,246]. All those four-loop results are used in the most recent low-momentum sum-rule determinations of the heavy-quark masses reported below.…”

Section: • Momentsmentioning

confidence: 99%

Heavy quarkonium: progress, puzzles, and opportunities

Brambilla¹,

Eidelman²,

Heltsley³

et al. 2011

Advances in the Physics of Particles and Nuclei

103

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A golden age for heavy quarkonium physics dawned a decade ago, initiated by the confluence of exciting advances in quantum chromodynamics (QCD) and an explosion of related experimental activity. The early years of this period were chronicled in the Quarkonium Working Group (QWG) CERN Yellow Report (YR) in 2004, which presented a comprehensive review of the status of the field at that time and provided specific recommendations for further progress. However, the broad spectrum of subsequent breakthroughs, surprises, and continuing puzzles could only be partially anticipated. Since the release of the YR, the BESII program concluded only to give birth to BESIII; the B-factories and CLEO-c flourished; quarkonium production and polarization measurements at HERA and the Tevatron matured; and heavy-ion collisions at RHIC have opened a window on the deconfinement regime. All these experiments leave legacies of quality, precision, and unsolved mysteries for quarkonium physics, and therefore beg for continuing investigations at BESIII, the LHC, RHIC, FAIR, the Super Flavor and/or Tau-Charm factories, JLab, the ILC, and beyond. The list of newly-found conventional states expanded to include hc(1P ), χc2(2P ), B + c , and η b (1S). In addition, the unexpected and still-fascinating X(3872) has been joined by * Editors † Section coordinators ‡ Corresponding author: bkh2@cornell.edu more than a dozen other charmonium-and bottomonium-like "XY Z" states that appear to lie outside the quark model. Many of these still need experimental confirmation. The plethora of new states unleashed a flood of theoretical investigations into new forms of matter such as quark-gluon hybrids, mesonic molecules, and tetraquarks. Measurements of the spectroscopy, decays, production, and in-medium behavior of cc, bb, and bc bound states have been shown to validate some theoretical approaches to QCD and highlight lack of quantitative success for others. Lattice QCD has grown from a tool with computational possibilities to an industrialstrength effort now dependent more on insight and innovation than pure computational power. New effective field theories for the description of quarkonium in different regimes have been developed and brought to a high degree of sophistication, thus enabling precise and solid theoretical predictions. Many expected decays and transitions have either been measured with precision or for the first time, but the confusing patterns of decays, both above and below open-flavor thresholds, endure and have deepened. The intriguing details of quarkonium suppression in heavy-ion collisions that have emerged from RHIC have elevated the importance of separating hotand cold-nuclear-matter effects in quark-gluon plasma studies. This review systematically addresses all these matters and concludes by prioritizing directions for ongoing and future efforts.

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“…Using a different approach based on threshold resummation the low-energy expansion coefficients have also been estimated in [21]. All determinations agree within the error, with [19] giving the smallest errors. A comparison between the works is shown in Tab.…”

Section: Analytic Resultsmentioning

confidence: 97%

“…Recently, the exact results for the second [17] and third [18] moments were obtained. Combining these coefficients with additional information on the threshold and the high-energy behaviour and using the analyticity of Π Q (q 2 ) and Padé approximations, fairly precise numerical results were obtained [19] for the higher coefficients up to n = 10. (For an earlier analysis along similar lines see Ref.…”

Section: Analytic Resultsmentioning

confidence: 99%