Pion and Kaon Distribution Amplitudes from Lattice QCD

Hua, Jianfeng; Chu, Min-Huan; He, Fangcheng; He, Jin-Chen; Ji, Xiangdong; Schäfer, Andreas; Su, Yushan; Sun, Peng; Wang, Wei; Xu, Jun; Yang, Yi-Bo; Yao, Fei; Zhang, Jian-Hui; Zhang, Qi-An

doi:10.1103/physrevlett.129.132001

Cited by 35 publications

(7 citation statements)

References 54 publications

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“…We see that (a) the scale running of the nonperturbative parameters does not bring significant modification to the fit result, indicating that fixing them at the default scale in previous pQCD calculations is a reasonable treatment, (b) the variation of scale choice brings about 20%-30% modification to the result of m π 0 , which reveals the possible nonnegligible correction from the next-to-next-leading-order QCD correction to the form factor, (c) the fitted result of m π 0 is well under control with the current data accuracy, and the data-driven approach developed here to extract the nonper- The data-driven approach developed here can not extract the gegenbauer coefficient a π 2 in the study of pion electromagnetic form factor. From the theoretical side, the first lattice endeavour by using the momentum smearing technique shows a π 2 (1 GeV) = 0.155 +0.025 −0.027 with full control of all systematic errors [40], while the very recent lattice result by using large-momentum effective theory shows a noticeably larger value 0.258 +0.070 −0.052 [41]. It is also studied by the global PQCD fit at leading order (LO) with considering the wellexplained hadronic two-body B decays [42], nevertheless, the result shows obvious difference with that obtained from QCD sum rules (QCDSRs) [34], dispersion derivation [43] and LQCD evaluations.…”

Section: Resultsmentioning

confidence: 99%

Study pion distribution amplitudes from the electromagnetic form factor by data-driven dispersion relation

2023

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We study the pion electromagnetic form factor in the modulus squared dispersion relation, and do the model independent extraction of the chiral mass embedded in the sub-leading twist light-cone distribution amplitude. The motivation of this work is the recent measurement of timelike form factor in the resonant regions, which makes up the piece lacking solid QCD-based calculation. With the perturbative QCD calculation up to next-to-leading-order of strong coupling and twist four level of meson distribution amplitudes, we obtain the chiral mass of pion meson as $$m_0^\pi (1 \, \textrm{GeV}) = 1.31^{+0.27}_{-0.30} \, \textrm{GeV}$$ m 0 π ( 1 GeV ) = 1 . 31 - 0.30 + 0.27 GeV . Due to the chiral enhancement contribution from the sub-leading twist distribution amplitudes in the perturbative QCD calculation, we can not extract the lowest Gegenbauer moments of pion from the study of electromagnetic form factor. This problem could be settled down with the foresee Belle-II and BESIII measurement of the transition form factor especially in the large momentum transfers regions.

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Section: Resultsmentioning

confidence: 99%

Study pion distribution amplitudes from the electromagnetic form factor by data-driven dispersion relation

2023

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“…[21] and figure 1 of ref. [25] that the continuum perturbation theory can describe lattice matrix element around 0.1 − 0.2 fm. This value is much smaller than the proton charge radius around 0.8 fm where the non-perturbative effects are important.…”

Section: Jhep12(2023)044mentioning

confidence: 98%

“…[22]. It has a wide range of applications [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] since its proposal.…”

Section: Jhep12(2023)044mentioning

confidence: 99%

Hybrid renormalization for quasi distribution amplitudes of a light baryon

Han,

Su,

Wang

et al. 2023

J. High Energ. Phys.

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We develop a hybrid scheme to renormalize quasi distribution amplitudes of a light baryon on the lattice, which combines the self-renormalization and ratio scheme. By employing self-renormalization, the UV divergences and linear divergence at large spatial separations in quasi distribution amplitudes are removed without introducing extra nonperturbative effects, while making a ratio with respect to the zero-momentum matrix element can properly remove the UV divergences in small spatial separations. As a specific application, distribution amplitudes of the Λ baryon made ofudsare investigated, and the requisite equal-time correlators, which define quasi distribution amplitudes in coordinate space, are perturbatively calculated up to the next-to-leading order in strong coupling constantαs. These perturbative equal-time correlators are used to convert lattice QCD matrix elements to the continuum space during the renormalization process. Subsequently, quasi distribution amplitudes are matched onto lightcone distribution amplitudes by integrating out hard modes and the corresponding hard kernels are derived up to next-to-leading order inαsincluding the hybrid counterterms. These results are valuable in the lattice-based investigation of the lightcone distribution amplitudes of a light baryon from the first principles of QCD.

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“…The input parameters adopted in our numerical calculations are summarized as follows (the masses, decay constants, and QCD scale are in units of GeV, and the meson lifetime is in units of ps) [31,43,48]:…”

Section: B Cmentioning

confidence: 99%

Quasi-two-body decays in perturbative QCD*

Zhao¹,

Zhang²,

Zhang³

et al. 2023

Chinese Phys. C

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In this work, we investigate the quasi-two-body decays $B_c\to D^*h\to D\pi h$ with $h = (K^0,\pi^0,\eta,\eta^{\prime})$ using the perturbative QCD(PQCD)approach. The description of final state interactions between the $D\pi$ pair is achieved through the two-meson distribution amplitudes (DAs),which are normalized to the time-like form factor. The PQCD predictions on the branching ratios of the quasi-two-body decays $B_c\to D^*h\to D\pi h$show an obvious hierarchy: $Br(B_{c}^+ \to D^{*+} K^{0}\to D^0\pi^+K^{0})=({5.05}_{-0.91}^{+0.88})\times{10}^{-6},Br(B_{c}^+ \to D^{*+} \pi^{0}\to D^0\pi^+\pi^{0})=({1.05}_{-0.18}^{+0.26})\times{10}^{-7}, Br(B_{c}^+ \to D^{*+} \eta\to D^0\pi^+\eta)=({6.81}_{-1.08}^{+1.33})\times{10}^{-8}$ and $Br(B_{c}^+ \to D^{*+} \eta^\prime\to D^0\pi^+\eta^\prime)=({4.26}_{-0.68}^{+0.83})\times{10}^{-8}$. From the invariant mass $m_{D\pi}$-dependences of the decay spectrums, one can find that the branching fractions are concentrated in a narrow region around the $D^{*}$ pole mass.So one can obtain the branching ratios for the corresponding two-body decays $B_c\to D^{*+}h$ under the narrow width approximation. We find that the branching ratios ofthe decays $B_c\to D^{*+}K^0$and $B_c\to D^{*+}\pi^0$ are consistent well with the previous PQCD calculations, while there exists $3\sim4$ times differences for the decays$B_c\to D^{*+}\eta^{(\prime)}$.These predictions will be tested by the future experiments. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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Pion and Kaon Distribution Amplitudes from Lattice QCD

Cited by 35 publications

References 54 publications

Study pion distribution amplitudes from the electromagnetic form factor by data-driven dispersion relation

Study pion distribution amplitudes from the electromagnetic form factor by data-driven dispersion relation

Hybrid renormalization for quasi distribution amplitudes of a light baryon

Quasi-two-body decays in perturbative QCD*

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