The ρ-meson light-cone distribution amplitudes from lattice QCD


Braun, Vladimir M, Bruns, Peter C, Collins, Sara, Gracey, John A ORCID: 0000-0002-9101-2853, Gruber, Michael, Goeckeler, Meinulf, Hutzler, Fabian, Perez-Rubio, Paula, Schaefer, Andreas, Soeldner, Wolfgang et al (show 2 more authors) (2017) The ρ-meson light-cone distribution amplitudes from lattice QCD. JOURNAL OF HIGH ENERGY PHYSICS, 04 (4). 082-.

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Abstract

We present the results of a lattice study of the normalization constants and second moments of the light-cone distribution amplitudes of longitudinally and transversely polarized $\rho$ mesons. The calculation is performed using two flavors of dynamical clover fermions at lattice spacings between $0.060\,\text{fm}$ and $0.081\,\text{fm}$, different lattice volumes up to $m_\pi L = 6.7$ and pion masses down to $m_\pi=150\,\text{MeV}$. Bare lattice results are renormalized non-perturbatively using a variant of the RI'-MOM scheme and converted to the $\overline{\text{MS}}$ scheme. The necessary conversion coefficients, which are not available in the literature, are calculated. The chiral extrapolation for the relevant decay constants is worked out in detail. We obtain for the ratio of the tensor and vector coupling constants $f_\rho^T/f_\rho^{\vphantom{T}} = 0.629(8)$ and the values of the second Gegenbauer moments $a_2^\parallel = 0.132(27)$ and $a_2^\perp = 0.101(22)$ at the scale $\mu = 2\,\text{GeV}$ for the longitudinally and transversely polarized $\rho$ mesons, respectively. The errors include the statistical uncertainty and estimates of the systematics arising from renormalization. Discretization errors cannot be estimated reliably and are not included. In this calculation the possibility of $\rho\to\pi\pi$ decay at the smaller pion masses is not taken into account.

Item Type: Article
Additional Information: Updated to published version
Uncontrolled Keywords: Lattice field theory simulation, Non-perturbative renormalization
Depositing User: Symplectic Admin
Date Deposited: 10 Mar 2017 10:02
Last Modified: 12 Oct 2023 19:57
DOI: 10.1007/JHEP04(2017)082
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3006306

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