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Mass renormalization group of heavy meson light-cone distribution amplitude in QCD
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Mass renormalization group of heavy meson light-cone distribution amplitude in QCD
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The heavy meson light-cone distribution amplitude (LCDA), as defined in full QCD, plays a key role in the collinear factorization for exclusive heavy meson production and in lattice computations of the LCDA within heavy-quark effective theory (HQET). In addition to its dependence on the renormalization scale, the QCD LCDA also evolves with the heavy quark mass. We derive a partial differential equation to characterize the mass evolution of the heavy meson QCD LCDA, examining the heavy quark mass dependence through its solution. Our results link the internal structure of heavy mesons across different quark masses, offering significant implications for lattice calculations and enabling the extrapolation of results from lower to higher quark masses.
Forward citations
Cited by 5 Pith papers
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Accessing the HQET B-Meson Shape Function from a LaMET Quasi-Shape Function
Establishes the HQLaMET two-step factorization scheme to enable lattice QCD computation of the B-meson shape function by separating the effects of disparate scales.
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Determination of heavy meson light-cone distribution amplitudes: theoretical framework and lattice simulations
Continuum-extrapolated lattice QCD yields heavy-meson LCDAs with D-meson peak at y≈0.2-0.3 and HQET inverse moment λ_B=0.340(20) GeV at 1 GeV, consistent with other determinations.
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Heavy quark mass dependence of the $\Lambda_Q$ light-cone distribution amplitude in QCD
The Lambda_Q baryon LCDA at mass m_Q equals (m_Q/m_Q^0)^2 times the LCDA at m_Q^0 evaluated at rescaled fractions x_i*m_Q/m_Q^0, times an exponentiated anomalous dimension, plus renormalon-model power corrections.
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
A global fit to B→π,K,D lattice form factors and B→πℓν data yields λ_B=217(19)+82−17 MeV and |V_ub|=3.68(13)+0−1×10−3.
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.
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