HEP Lattice·hep-lat

Fri·Sep 11, 2026Friday·September 11, 2026

3 papers—1 primary·2 cross-listed

01
Properties of the positive and negative parity charm-strange and bottom-strange mesons $D_{s}$ , $D_{s}^{*}$ , $D_{s 0}^{*}$ , $D_{s 1}$ , $B_{s}$ , $B_{s}^{*}$ , $B_{s 0}^{*}$ , $B_{s 1}$ from lattice QCD: masses, decay constants, and compositeness
Forrest Guyton · Stefan Meinel
We present a lattice-QCD determination of properties of the lightest scalar, pseudoscalar, vector, and axial-vector heavy-strange mesons. This includes the decay constants of all mesons, and the binding energies and Weinberg compositeness parameters of the positive-parity states. The calculations are performed with domain-wall fermions for the light and strange quarks and anisotropic clover actions for the charm and bottom quarks. We use seven ensembles generated by RBC/UKQCD with pion masses ranging from 431 MeV to 139 MeV and lattice spacings ranging from 0.114 fm to 0.073 fm, which allows us to perform combined chiral and continuum extrapolations. For the negative-parity mesons, we obtain $f_{D_{s}} = 251.4 (2.1) (0.4) (2.5) MeV$ , $f_{D_{s}^{*}} = 272.5 (4.3) (1.0) (2.7) MeV$ , $f_{B_{s}} = 228.4 (5.8) (0.5) (2.3) MeV$ , $f_{B_{s}^{*}} = 229.2 (4.4) (0.8) (2.3) MeV$ , $f_{D_{s}^{*}} / f_{D_{s}} = 1.086 (14) (11)$ , and $f_{B_{s}^{*}} / f_{B_{s}} = 1.003 (22) (10)$ . In the positive-parity sector, the finite-volume energies and decay constants are extracted using the GEVP from correlation matrices with three different types of hadron interpolating operators, including operators with covariant derivatives and meson-meson-scattering operators at both source and sink. After extrapolation to the physical point, we obtain $f_{D_{s 0}^{*}} = 136.6 (8.0) (4.0) (1.4)$ MeV, $f_{D_{s 1}} = 200 (33) (24) (2)$ MeV, $f_{B_{s 0}^{*}} = 207 (12) (8) (2)$ MeV, and $f_{B_{s 1}} = 196 (16) (11) (2)$ MeV. Our results for $f_{B_{s 0}^{*}}$ and $f_{B_{s 1}}$ are the first from lattice QCD. Lüscher's method is used to find the infinite-volume bound-state masses. At the physical point, we obtain $m_{D_{s 0}^{*}} - m_{D} - m_{K} = - 48 (14) (4)$ MeV, $m_{D_{s 1}} - m_{D^{*}} - m_{K} = - 61 (15) (2)$ MeV, $m_{B_{s 0}^{*}} - m_{B} - m_{K} = - 69 (13) (4)$ MeV, and $m_{B_{s 1}} - m_{B^{*}} - m_{K} = - 77 (10) (5)$ MeV. Our analysis shows consistency with the positive-parity states being predominantly molecular.
hep-lathep-exhep-phnucl-th
02
Unitarity dressing of the dynamical gluon mass scale
T. V. Iser · V. Li · E. G. S. Luna
We study the effect of $s$ -channel unitarity on the dynamical gluon mass scale, $m_{g}$ , extracted from high-energy elastic $pp$ scattering. The elementary input is a Reggeized Landshoff--Nachtmann two-gluon exchange, in which the soft Pomeron is represented by a color-singlet pair of dynamically massive gluons. At Born level, the logarithmic and power-law mass solutions give $m_{g} = 299$ -- $422 \MeV$ , in the usual phenomenological range. When the same input is embedded in the eikonal and $U$ -matrix schemes, the preferred values move to $m_{g} = 749$ -- $1101 \MeV$ . The enhancement, by a factor close to $2.5$ , is stable against the ATLAS--TOTEM data choice, the running of the gluon mass, and the unitarization prescription. We trace this shift to the nonlinear mapping between the elementary two-gluon kernel and the physical impact-parameter profile. The scale inferred from elastic scattering is therefore a unitarity-dressed infrared scale, fixed jointly by the nonperturbative gluon propagator and by multiple-exchange dynamics.
↳ hep-phhep-exhep-lathep-th
03
The Casimir effect in Gribov-Zwanziger theory
David Dudal · Philipe De Fabritiis · Sebbe Stouten · David Vercauteren
We consider Yang-Mills theory with two infinite parallel plates, separated by a distance $L$, that are perfect magnetic conductors (PMC) or perfect electric conductors (PEC). Recently, it was shown that the Gribov copy problem persists in such a setting. We then study the Gribov-Zwanziger (GZ) action in the presence of those boundaries using functional integral methods. Lagrange multiplier fields allow one to lift the boundary conditions into the action, after which the boundary modifications to the gluon propagator can straightforwardly be determined. In the PEC case, we provide evidence that, even when translation invariance is (partially) broken, the usual horizon term in the GZ action still restricts the functional integral to the Gribov region. We compute the Casimir energy for GZ with PMC or PEC plates, both directly from the functional integral and from the energy-momentum tensor, obtaining consistent results. We compare our analytical results with recent lattice data, in both 4D and 3D. A priori, one might expect that the boundary-modified gluon propagator introduces new $L$-dependencies into the GZ gap equation. This would make the Gribov mass $\gamma$ dynamically dependent on $L$, implying an interesting interplay with the Casimir energy. However, we show that no such dynamical $L$-dependence occurs within the current approximation.
↳ hep-thhep-lathep-ph

Properties of the positive and negative parity charm-strange and bottom-strange mesons Ds​, Ds∗​, Ds0∗​, Ds1​, Bs​, Bs∗​, Bs0∗​, Bs1​ from lattice QCD: masses, decay constants, and compositeness

Unitarity dressing of the dynamical gluon mass scale

The Casimir effect in Gribov-Zwanziger theory

Properties of the positive and negative parity charm-strange and bottom-strange mesons $D_{s}$ , $D_{s}^{}$ , $D_{s 0}^{}$ , $D_{s 1}$ , $B_{s}$ , $B_{s}^{}$ , $B_{s 0}^{}$ , $B_{s 1}$ from lattice QCD: masses, decay constants, and compositeness