Nuclear Theory·nucl-th

Friday·May 27, 2022

6 papers—3 primary·3 cross-listed

04
[Submitted on 25 May 2022] (cross-list from hep-ph)
Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization
G. Colangelo🇨🇭 · A. X. El-Khadra🇺🇸 · M. Hoferichter🇨🇭 · A. Keshavarzi🇬🇧 · C. Lehner🇩🇪 · P. Stoffer🇨🇭 · T. Teubner🇬🇧
In this paper, we discuss how windows in Euclidean time can be used to isolate the origin of potential conflicts between evaluations of the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon in lattice QCD and from $e^{+} e^{-} \to hadrons$ cross-section data. We provide phenomenological comparison numbers evaluated from $e^{+} e^{-} \to hadrons$ data for the window quantities most commonly studied in lattice QCD, complete with the correlations among them. We discuss and evaluate modifications of window parameters that could be useful in dissecting the energy dependence of tensions in the HVP integral and emphasize that further optimizations require a precise knowledge of the full covariance matrix in lattice-QCD calculations as well.
Comments:
9 pages, 4 figures; journal version
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2205.12963 [pdf]
PLB(2022)·145 citations
05
[Submitted on 26 May 2022] (cross-list from hep-ph)
Double-charm tetraquark under the complex scaling method
Jian-Bo Cheng🇨🇳 · Zi-Yang Lin🇨🇳 · Shi-Lin Zhu🇨🇳
The LHCb Collaboration discovered a double-charm tetraquark $T_{cc}^{+}$ with a very small width. We investigate the $T_{cc}^{+}$ as a $D D^{*}$ molecule with $J^{P} = 1^{+}$ in the framework of the one-boson-exchange potential model. The isospin breaking effect and $S - D$ wave coupling are taken into account carefully. We adopt the complex scaling method (CSM) to study the $D D^{*}$ system and obtain a quasibound state corresponding to the $T_{cc}^{+}$ . Its binding energy relative to the $D^{0} D^{*+}$ and width are $- 354$ keV and $61$ keV respectively. The isospin breaking effect is found to be enormous, and the $S -$ wave $D^{0} D^{*+}$ and $D^{+} D^{* 0}$ components give dominant contributions with the probabilities of $72.1%$ and $27.1%$ respectively. In addition, we do not find any resonances in the $D D^{*}$ system. As a by-product, we study the $X (3872)$ as a $(D D ˉ^{*} - D^{*} D ˉ) / 2$ molecule with $J^{P C} = 1^{++}$ . We also find a quasibound state corresponding to the $X (3872)$ . Its binding energy relative to the $D^{0} D ˉ^{* 0}$ threshold and width are $- 111$ keV and $26$ keV respectively. The $S -$ wave $(D^{0} D ˉ^{* 0} - D^{* 0} D ˉ^{0}) / 2$ component dominates this state with the probability of $92.7%$ .
Comments:
11 pages, 15 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2205.13354 [pdf]
PRD(2022)·39 citations
06
[Submitted on 26 May 2022] (cross-list from hep-ph)
Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory
Prabal Adhikari🇺🇸 · Elizabeth Leeser🇺🇸 · Jake Markowski🇺🇸
We study phonon modes associated with magnetic vortex lattices of finite isospin chiral perturbation theory near the upper critical point by introducing quasimomentum fluctuations to the lattice and calculate dispersion relations associated with the optical and acoustic modes. We find that one of the acoustic modes is massless and that its energy for small transverse quasimomentum is quartic (due the presence of an isospin chemical potential), which is significantly softer than the "supersoft" (quadratic) massless mode of the Abelian Higgs Model (AHM). Due to the presence of derivative interactions, which is absent in the AHM, the speed of the longitudinal mode depends on both the isospin chemical potential and the external magnetic field. Our results suggest that the standard assumption of an ordered lattice in finite isospin QCD should be revisited and the existence of a disordered spaghetti phase of a vortex liquid or gas, should be considered.
Comments:
8 pages, 4 figures, improved discussion, matches published version
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2205.13369 [pdf]
Mod.Phys.Lett.A(2023)·10 citations

Affiliations

first authorsco-authorsvia INSPIRE

Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization

Double-charm tetraquark under the complex scaling method

Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory

Affiliations