The D ∗ Dπ and B ∗ Bπ couplings from light-cone sum rules

Alexander Khodjamirian (Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, Siegen, D-57068, Germany) ; Blaženka Melić (Rudjer Boskovic Institute, Division of Theoretical Physics, Bijenička 54, Zagreb, HR-10000, Croatia) ; Yu-Ming Wang (School of Physics, Nankai University, Weijin Road 94, Tianjin, 300071, China) ; Yan-Bing Wei (School of Physics, Nankai University, Weijin Road 94, Tianjin, 300071, China; Physik Department T31, Technische Universität München, James-Franck-Straße 1, Garching, D-85748, Germany)

We revisit the calculation of the strong couplings D ∗ Dπ and B ∗ Bπ from the QCD light-cone sum rules using the pion light-cone distribution amplitudes. The accuracy of the correlation function, calculated from the operator product expansion near the light-cone, is upgraded by taking into account the gluon radiative corrections to the twist-3 terms. The double spectral density of the correlation function, including the twist-2, 3 terms at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$ and the twist-4 LO terms, is presented in an analytical form for the first time. This form allows us to use various versions of the quark-hadron duality regions in the double dispersion relation underlying the sum rules. We predict g D = 14.1 1.2 + 1.3 $$ {g}_{D^{\ast } D\pi}={14.1}_{-1.2}^{+1.3} $$ and g B = 30.0 2.4 + 2.6 $$ {g}_{B^{\ast } B\pi}={30.0}_{-2.4}^{+2.6} $$ when the decay constants of heavy mesons entering the light-cone sum rule are taken from lattice QCD results. We compare our results with the experimental value for the charmed meson coupling and with the lattice QCD calculations.

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          "organization": "Division of Theoretical Physics"
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      "surname": "Meli\u0107", 
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      "full_name": "Meli\u0107, Bla\u017eenka", 
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      "surname": "Wang", 
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          "country": "Germany", 
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      "surname": "Wei", 
      "email": "weiyb@nankai.edu.cn", 
      "full_name": "Wei, Yan-Bing", 
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      "title": "The D \u2217 D\u03c0 and B \u2217 B\u03c0 couplings from light-cone sum rules"
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      "source": "Springer", 
      "value": "We revisit the calculation of the strong couplings D \u2217 D\u03c0 and B \u2217 B\u03c0 from the QCD light-cone sum rules using the pion light-cone distribution amplitudes. The accuracy of the correlation function, calculated from the operator product expansion near the light-cone, is upgraded by taking into account the gluon radiative corrections to the twist-3 terms. The double spectral density of the correlation function, including the twist-2, 3 terms at   <math> <mi>O</mi> <mfenced> <msub> <mi>\u03b1</mi> <mi>s</mi> </msub> </mfenced> </math>  $$ \\mathcal{O}\\left({\\alpha}_s\\right) $$  and the twist-4 LO terms, is presented in an analytical form for the first time. This form allows us to use various versions of the quark-hadron duality regions in the double dispersion relation underlying the sum rules. We predict   <math> <msub> <mi>g</mi> <mrow> <msup> <mi>D</mi> <mo>\u2217</mo> </msup> <mi>D\u03c0</mi> </mrow> </msub> <mo>=</mo> <msubsup> <mn>14.1</mn> <mrow> <mo>\u2212</mo> <mn>1.2</mn> </mrow> <mrow> <mo>+</mo> <mn>1.3</mn> </mrow> </msubsup> </math>  $$ {g}_{D^{\\ast } D\\pi}={14.1}_{-1.2}^{+1.3} $$  and   <math> <msub> <mi>g</mi> <mrow> <msup> <mi>B</mi> <mo>\u2217</mo> </msup> <mi>B\u03c0</mi> </mrow> </msub> <mo>=</mo> <msubsup> <mn>30.0</mn> <mrow> <mo>\u2212</mo> <mn>2.4</mn> </mrow> <mrow> <mo>+</mo> <mn>2.6</mn> </mrow> </msubsup> </math>  $$ {g}_{B^{\\ast } B\\pi}={30.0}_{-2.4}^{+2.6} $$  when the decay constants of heavy mesons entering the light-cone sum rule are taken from lattice QCD results. We compare our results with the experimental value for the charmed meson coupling and with the lattice QCD calculations."
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Published on:
01 March 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 3
Pages 1-41
DOI:
https://doi.org/10.1007/JHEP03(2021)016
arXiv:
2011.11275
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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