Pseudoscalar quarkonium+γ production at NLL+NLO accuracy

Chung, Hee Sok; Ee, June-Haak; Kang, Daekyoung; Kim, U-Rae; Lee, Jung-Il; Wang, Xiangpeng

doi:10.1007/jhep10(2019)162

Cited by 13 publications

(8 citation statements)

References 57 publications

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“…where α is the QED coupling constant, and e Q is the fractional charge of the heavy quark Q. For pseudoscalar quarkonium, f P cannot be compared directly with an experimentally measurable quantity, although it appears in hard exclusive production rates of pseudoscalar quarkonium P [60][61][62][63], and also have been studied in lattice QCD [64,65]. We also compute the two-photon decay rates of pseudoscalar quarkonia, which can be compared with measurements.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Now we compute the decay constants f P of P = η c and η c (2S). Although f P cannot be obtained directly from experimental measurements, this decay constant appears in exclusive production cross sections of pseudoscalar quarkonia at high energies [62,63]. We obtain the following expression for f P by expanding the corrections to the SDCs and the corrections to the wavefunctions at the origin:…”

Section: Jhep12(2020)065mentioning

confidence: 99%

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MS renormalization of S-wave quarkonium wavefunctions at the origin

Chung

2020

J. High Energ. Phys.

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We compute S-wave quarkonium wavefunctions at the origin in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme based on nonrelativistic effective field theories. We include the effects of nonperturbative long-distance behaviors of the potentials, while we determine the short-distance behaviors of the potentials in perturbative QCD. We obtain $$ \overline{\mathrm{MS}} $$ MS ¯ -renormalized quarkonium wavefunctions at the origin that have the correct scale dependences that are expected from perturbative QCD, so that the scale dependences cancel in physical quantities. Based on the calculation of the wavefunctions at the origin, we make model-independent predictions of decay constants and electromagnetic decay rates of S-wave charmonia and bottomonia, and compare them with measurements. We find that the poor convergence of perturbative QCD corrections are substantially improved when we include corrections to the wavefunctions at the origin in the calculation of decay constants and decay rates.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Jhep12(2020)065mentioning

confidence: 99%

MS renormalization of S-wave quarkonium wavefunctions at the origin

Chung

2020

J. High Energ. Phys.

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“…In section 2, after outlining the 1 When √ s ≫ mc, the collinear logarithm ln s/m 2 c in NRQCD short-distance coefficients can get large, which may potentially ruin the convergence of fixed-order perturbative expansion. For e + e − → ηc + γ, there have been attempts to resum the leading logarithms [16] and next-to-leading logarithms [17] to all orders in αs.…”

Section: Contentsmentioning

confidence: 99%

Next-to-leading-order QCD corrections to e + e − → H + γ

et al. 2017

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Within the nonrelativistic QCD (NRQCD) factorization framework, we have computed the O(α 2 s) corrections to the exclusive production of P-wave spin-triplet charmonia χ cJ (J = 0, 1, 2) accompanied with a hard photon at B factory. For the first time, we have explicitly verified the validity of NRQCD factorization for exclusive Pwave quarkonium production to two-loop order. Unlike the χ cJ electromagnetic decays, the O(α 2 s) corrections are found to be smaller than the O(α s) corrections in all three channels e + e − → χ c0,1,2 + γ. In particular, the O(α 2 s) corrections appear moderate for χ c1 + γ case, and marginal for χ c0 + γ. Moreover, the predictions in next-to-next-to-leading order (NNLO) accuracy for the production rates of χ c0,1 + γ are insensitive to the renormalization and factorization scales. All of these features may indicate that perturbative expansion in these two channels exhibits a decent convergence behavior. By contrast, both the O(α s) and O(α 2 s) corrections to the χ c2 + γ production rate are sizable, which reduces the Born order cross section by one order of magnitude after including the NNLO perturbative corrections. Taking the values of the long-distance NRQCD matrix elements from nonrelativistic potential model, our prediction to χ c1 + γ production rate is consistent with the recent Belle measurement. The NNLO predictions to the χ c0,2 + γ production rates are much smaller than that for χ c1 + γ, which seems to naturally explain why the e + e − → χ c0,2 + γ channels have escaped experimental detection to date.

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“…1 On the other hand, since charm quark is 1 When √ s mc, the collinear logarithm ln s/m 2 c in NRQCD short-distance coefficients can get large, which may potentially ruin the convergence of fixed-order perturbative expansion. For e + e − → ηc + γ, there have been attempts to resum the leading logarithms [16] and next-to-leading logarithms [17] to all orders in αs.…”

Section: Introductionmentioning

confidence: 99%

Next-to-next-to-leading-order radiative corrections to e+e− → χcJ + γ at B factory

Sang

Feng

Jia

2020

J. High Energ. Phys.

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Within the nonrelativistic QCD (NRQCD) factorization framework, we have computed the $$ \mathcal{O}\left({\alpha}_s^2\right) $$ O α s 2 corrections to the exclusive production of P-wave spin-triplet charmonia χcJ (J = 0, 1, 2) accompanied with a hard photon at B factory. For the first time, we have explicitly verified the validity of NRQCD factorization for exclusive P-wave quarkonium production to two-loop order. Unlike the χcJ electromagnetic decays, the $$ \mathcal{O}\left({\alpha}_s^2\right) $$ O α s 2 corrections are found to be smaller than the $$ \mathcal{O} $$ O (αs) corrections in all three channels e+e− → χc0,1,2 + γ. In particular, the $$ \mathcal{O}\left({\alpha}_s^2\right) $$ O α s 2 corrections appear moderate for χc1 + γ case, and marginal for χc0 + γ. Moreover, the predictions in next-to-next-to-leading order (NNLO) accuracy for the production rates of χc0,1 + γ are insensitive to the renormalization and factorization scales. All these features may indicate that perturbative expansion in these two channels exhibits a decent convergence behavior. By contrast, both the $$ \mathcal{O} $$ O (αs) and $$ \mathcal{O}\left({\alpha}_s^2\right) $$ O α s 2 corrections to the χc2 + γ production rate are sizable, which reduce the Born order cross section by one order of magnitude after including the NNLO perturbative corrections. Taking the values of the long-distance NRQCD matrix elements from nonrelativistic potential model, our prediction to χc1 + γ production rate is consistent with the recent Belle measurement. The NNLO predictions to the χc0,2 + γ production rates are much smaller than that for χc1 + γ, which seems to naturally explain why the e+e− → χc0,2 + γ channels have escaped experimental detection to date.

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Pseudoscalar quarkonium+γ production at NLL+NLO accuracy

Cited by 13 publications

References 57 publications

MS renormalization of S-wave quarkonium wavefunctions at the origin

MS renormalization of S-wave quarkonium wavefunctions at the origin

Next-to-leading-order QCD corrections to e + e − → H + γ

Next-to-next-to-leading-order radiative corrections to e+e− → χcJ + γ at B factory

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