MS renormalization of S-wave quarkonium wavefunctions at the origin

Chung, Hee Sok

doi:10.1007/jhep12(2020)065

Cited by 21 publications

(51 citation statements)

References 104 publications

(286 reference statements)

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“…which can be directly translated from refs. [34,35]. After hard work, we find that the remained divergence in σ(cc( 1 S 0 )) can be exactly cancelled by the IR divergence in eq.…”

Section: Jhep01(2021)131mentioning

confidence: 82%

Scale-fixed predictions for γ + ηc production in electron-positron collisions at NNLO in perturbative QCD

Sang

Huang

et al. 2021

J. High Energ. Phys.

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In the paper, we present QCD predictions for γ + ηc production at an electron-positron collider up to next-to-next-to-leading order (NNLO) accuracy without renormalization scale ambiguities. The NNLO total cross-section for e+ + e− → γ + ηc using the conventional scale-setting approach has large renormalization scale ambiguities, usually estimated by choosing the renormalization scale to be the e+e− center-of-mass collision energy $$ \sqrt{s} $$ s . The Principle of Maximum Conformality (PMC) provides a systematic way to eliminate such renormalization scale ambiguities by summing the nonconformal β contributions into the QCD coupling αs(Q2). The renormalization group equation then sets the value of αs for the process. The PMC renormalization scale reflects the virtuality of the underlying process, and the resulting predictions satisfy all of the requirements of renormalization group invariance, including renormalization scheme invariance. After applying the PMC, we obtain a renormalization scale-and-scheme independent prediction, σ|NNLO,PMC ≃ 41.18 fb for $$ \sqrt{s} $$ s =10.6 GeV. The resulting pQCD series matches the series for conformal theory and thus has no divergent renormalon contributions. The large K factor which contributes to this process reinforces the importance of uncalculated NNNLO and higher-order terms. Using the PMC scale-and-scheme independent conformal series and the Padé approximation approach, we predict σ|NNNLO,PMC+Pade ≃ 18.99 fb, which is consistent with the recent BELLE measurement $$ {\sigma}^{\mathrm{obs}}={16.58}_{-9.93}^{+10.51} $$ σ obs = 16.58 − 9.93 + 10.51 fb at $$ \sqrt{s} $$ s ≃ 10.6 GeV. This procedure also provides a first estimate of the NNNLO contribution.

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“…which can be directly translated from refs. [34,35]. After hard work, we find that the remained divergence in σ(cc( 1 S 0 )) can be exactly cancelled by the IR divergence in eq.…”

Section: Jhep01(2021)131mentioning

confidence: 82%

Scale-fixed predictions for γ + ηc production in electron-positron collisions at NNLO in perturbative QCD

Sang

Huang

et al. 2021

J. High Energ. Phys.

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“…[46], these corrections depend strongly on the scheme and the scale associated with the renormalization of the wavefunctions at the origin (see, for example, refs. [47,48]). The strong dependence on the scheme and scale will not cancel in production rates unless the short-distance coefficients for cross sections are also computed to the same accuracy in α s .…”

Section: Jhep09(2021)032mentioning

confidence: 99%

“…Some advancements towards an accurate determination of the quarkonium wavefunctions at the origin also for strongly coupled quarkonia has been made recently in refs. [47,48]. From a general perspective, it is important to emphasize that our phenomenological results, having been derived in an effective field theory framework, can be systematically improved through the formalism developed in this work by including corrections of higher order in v. These come from higher dimensional operators in the NRQCD factorization formula, from higher order corrections to the pNRQCD expansion of the NRQCD long-distance matrix elements, and from higher order corrections to the wavefunctions originating from higher order corrections to the pNRQCD potential.…”

Section: Jhep09(2021)032 5 Conclusionmentioning

confidence: 99%

Inclusive production of heavy quarkonia in pNRQCD

Brambilla

Chung

Vairo

2021

J. High Energ. Phys.

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We develop a formalism for computing inclusive production cross sections of heavy quarkonia based on the nonrelativistic QCD and the potential nonrelativistic QCD effective field theories. Our formalism applies to strongly coupled quarkonia, which include excited charmonium and bottomonium states. Analogously to heavy quarkonium decay processes, we express nonrelativistic QCD long-distance matrix elements in terms of quarkonium wavefunctions at the origin and universal gluonic correlators. Our expressions for the long-distance matrix elements are valid up to corrections of order $$ 1/{N}_c^2 $$ 1 / N c 2 . These expressions enhance the predictive power of the nonrelativistic effective field theory approach to inclusive production processes by reducing the number of nonperturbative unknowns, and make possible first-principle determinations of long-distance matrix elements once the gluonic correlators are known. Based on this formalism, we compute the production cross sections of P-wave charmonia and bottomonia at the LHC, and find good agreement with measurements.

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“…Beyond leading order, also charmonium wavefunctions are presently model dependent. Recent progress towards a more rigorous determination of the behaviour of the quarkonium wavefunctions at the origin has been made in [38,39].…”

Section: Discussionmentioning

confidence: 99%