HEP Lattice·hep-lat

Mon·Sep 7, 2026Monday·September 7, 2026

4 papers—2 primary·2 cross-listed

01
Accessing the Wess-Zumino-Witten term using Lattice QCD
Fernando Romero-López🇨🇭 · Stephen R. Sharpe🇺🇸
The Wess-Zumino-Witten interaction in chiral perturbation theory is a manifestation of chiral anomalies. One of its consequences is the presence of a nonvanishing $K K \to π^{+} π^{0} π^{-}$ amplitude. We derive the finite-volume formalism that allows one to access this, and related, amplitudes, using the spectra of two and three particles in finite volumes, spectra that can be calculated using lattice QCD. Specifically, we present the formalism for the systems $K K + 3 π$ with $I = 0$ and $π K + π π K$ with $I = 1/2$ and $3/2$ . In addition, we determine the threshold expansions for the $2 \leftrightarrow 3$ and $3 \leftrightarrow 3$ K matrices that enter the formalism, and calculate the leading order predictions from chiral perturbation theory for the coefficients that enter these expansions.
hep-lathep-phnucl-th0 citations
02
Equation of state of dense magnetized QCD matter via a robust analytic continuation
S. Borsányi🇩🇪 · B. B. Brandt🇩🇪 · G. Endrődi🇩🇪 · J. N. Guenther🇩🇪 · G. Markó🇩🇪 · M. A. Petri🇩🇪 · A. D. M. Valois🇪🇸
We compute the equation of state of dense and magnetized strongly interacting matter using lattice QCD at a non-zero value of the lattice spacing. Our simulations employ $2 + 1 + 1$ dynamical flavors of rooted staggered quarks with masses tuned to the physical point. To conform with experimental constraints, we impose strangeness neutrality and isospin asymmetry on our observables. We circumvent the sign problem by simulating imaginary values of the chemical potential and applying the $T^{'}$ -expansion scheme to carry out the analytic continuation of our observables to the real chemical potential axis. This novel scheme, adapted to the setup with nonzero magnetic fields, is demonstrated to produce significantly smaller systematic errors in the final observables, compared to the standard analytical continuation at fixed temperature, allowing for better-controlled extrapolations. Our results for the pressure, the entropy density and the interaction measure are tabulated for direct use in heavy-ion phenomenology applications.
hep-lat0 citations
03
Systematic study of baryon-baryon interactions in singly bottomed systems
Yuxuan Du🇨🇳 · Yanyue Pan🇨🇳 · Xinmei Zhu🇨🇳 · Zhiyun Tan🇨🇳 · Hongxia Huang🇨🇳 · Jialun Ping🇨🇳
In this work, we systematically investigate the baryon-baryon interactions in singly bottomed dibaryon systems within the chiral quark model and search for possible bound states. By exploring the baryon-baryon interaction, we find that low-isospin channels tend to generate deeper attractive interactions and are prone to form bound states. We also find that decuplet-decuplet systems tend to show stronger attraction and support a larger number of bound states, whereas octet-octet systems generally exhibit weaker attraction and fewer bound solutions. The binding behavior of octet-decuplet systems generall lies between these two cases. Several bound states are obtained, which are $Δ Σ_{b}^{*}$ with $I J = \frac{1}{2} 0$ , $\frac{1}{2} 1$ , $\frac{1}{2} 2$ , $\frac{1}{2} 3$ , and $\frac{3}{2} 3$ , the $Δ Σ_{b}$ with $I J = \frac{1}{2} 1$ , $\frac{1}{2} 2$ , $\frac{3}{2} 1$ , and $\frac{3}{2} 2$ , the $N Σ_{b}^{*}$ with $I J = \frac{1}{2} 2$ , the $Σ Σ_{b}$ with $I J = 00$ , $01$ , and $11$ , the $Σ Σ_{b}^{*}$ with $I J = 01$ and $02$ , the $Σ^{*} Σ_{b}$ with $I J = 01$ and $02$ , and the $Σ^{*} Σ_{b}^{*}$ with $I J = 00$ , $01$ , $02$ , $03$ , and $13$ . Further investigations of the corresponding scattering processes are still required to determine whether these bound-state candidates can be identified. These states deserve further experimental investigation.
↳ hep-phhep-exhep-latnucl-th0 citations
04
The axial-vector nucleon form factor in the meson dominance picture: the role triangle singularities from a dispersive view
Enrique Ruiz Arriola🇪🇸 · Pablo Sanchez-Puertas🇪🇸
The nucleon axial form factor is analyzed in terms of a dispersion relation comprising chiral perturbation theory (ChPT) and perturbative QCD (pQCD) in the low- and high-momentum regimes respectively, which implies a set of superconvergence sum rules for the $A \to N N ˉ$ spectral function. In the timelike region below the $N N ˉ$ production threshold we include the $a_{1}$ and $a_{1}^{'}$ resonances, with finite-width effects modeled through $ρ π$ and $σ π$ intermediate states. Above the $N N ˉ$ threshold, we model an infinite tower of radially excited $1^{++}$ resonances with a non-integer power fall-off, eventually matching pQCD. In this setup, we find that both the ChPT and pQCD contributions are tiny. In turn, the dominant $ρ π$ triangle provides the leading deviations from axial meson dominance. Our calculation is not a fit; it contains parameters with a priori uncertainties estimates. The axial radius is predicted to be $r_{A}^{2} = (0.28 - 0.33) fm^{2} = (0.47 - 0.57 fm)^{2}$ in agreement with recent lattice QCD results but inconsistent with the MINER $ν$ A determination. A simple semiempirical formula is provided accounting for the main physical effects.
↳ hep-phhep-exhep-lat0 citations

Affiliations

first authorsco-authorsvia INSPIRE

Accessing the Wess-Zumino-Witten term using Lattice QCD

Equation of state of dense magnetized QCD matter via a robust analytic continuation

Systematic study of baryon-baryon interactions in singly bottomed systems

The axial-vector nucleon form factor in the meson dominance picture: the role triangle singularities from a dispersive view

Affiliations