HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses

Abstract

We present a new lattice determination of some of the parameters appearing both in the Operator Product Expansion (OPE) analysis of the inclusive semileptonic $B$-meson decays and in the Heavy Quark Expansion (HQE) of the pseudoscalar (PS) and vector (V) heavy-light meson masses. We perform a lattice QCD (LQCD) computation of PS and V heavy-light meson masses for heavy-quark masses $m_h$ in the range from $m_c^{\mathrm{phys}}$ to $\simeq 4m_b^{\mathrm{phys}}$. We employed the $N_f=2+1+1$ gauge configurations of the European Twisted Mass Collaboration (ETMC) at three values of the lattice spacing $a\simeq (0.062,0.082,0.089)$ fm with pion masses in the range $M_{\pi }\simeq (210-450)$ MeV. The heavy-quark mass is simulated directly on the lattice up to $\simeq 3m_c^{\mathrm{phys}}$. The interpolation to the physical $m_b^{\mathrm{phys}}$ is performed using the ETMC ratio method and adopting the kinetic mass scheme. We obtain $m_b^{\rm kin}(1~\mbox{GeV}) = 4.61 (20)$ GeV (${\overline{m}}_b({\overline{m}}_b)=4.26(18)$ GeV in the $\overline{\mathrm{MS}}$ scheme). The lattice data are analyzed in terms of the HQE and the matrix elements of dimension-4 and dimension-5 operators are extracted with good precision, namely: $\overline{\Lambda }=0.552(26)$ GeV, ${\mu }_{\pi }^2=0.321(32)$ GeV${}^2$ and ${\mu }_G^2(m_b)=0.253(25)$ GeV${}^2$. The data also allow for an estimate of the dimension-6 operator matrix elements.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1704.06105

References in corpus (12)

• Big-Bang Nucleosynthesis
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• Precision determination of the CKM element Vcb
• Taming the higher power corrections in semileptonic B decays
• Non-Abelian Dipole Radiation and the Heavy Quark Expansion
• Three-Loop Chromomagnetic Interaction in HQET
• A proposal for B-physics on current lattices
• B-> D* zero-recoil formfactor and the heavy quark expansion in QCD: a systematic study
• B semileptonic moments at NNLO
• Renormalons and the Heavy Quark Effective Theory

Cited by in corpus (3)

• ${\tau }_{B_s}/{\tau }_{B_d}$ and $\Delta {\Gamma }_s$ confront new physics in $b\to s\tau \tau$
• Determination of $|V_{cb}|$ using N${}^3$LO perturbative corrections to $\Gamma (B\to X_c\ell \nu )$ and 1S masses
• Determination of the Strong Coupling Constant ${\alpha }_s$ from Inclusive Semi-leptonic $B$ Meson Decays