Wed·Nov 24, 2021Wednesday·November 24, 2021

1. 01*

   $H$ dibaryon away from the $SU(3{)}_f$ symmetric point

   M. Padmanath🇩🇪 · John Bulava🇩🇪 · Jeremy R. Green🇨🇭 · Andrew D. Hanlon🇺🇸 · Ben Hörz🇺🇸 · Parikshit Junnarkar🇩🇪 · Colin Morningstar🇺🇸 · Srijit Paul🇩🇪 · Hartmut Wittig🇩🇪

   We present the current status of our efforts in search of $H$ dibaryon on $N_f$=2+1 CLS ensembles away from the $SU(3)$ flavor symmetric point. Utilizing the distillation framework (also known as LapH) in its exact and stochastic forms, we calculate two-point correlation matrices using large bases of bi-local two-baryon interpolators to reliably determine the low-energy spectra. We report the low lying spectrum on several moving frames for multiple ensembles with different lattice spacing and physical volumes. The status of finite-volume analysis to extract the scattering amplitudes is also discussed.

   hep-latPoS(2022)·10 citations
2. 02*

   Master-field simulations of QCD

   P. Fritzsch🇮🇪 · J. Bulava🇩🇪 · M. Cè🇨🇭 · A. Francis🇨🇭 · M. Lüscher🇨🇭 · A. Rago🇬🇧

   We report on the first master-field simulations of QCD with 2+1 dynamical quark flavours using non-perturbatively improved stabilised Wilson fermions. Our simulations are performed at a lattice spacing of 0.094 fm with 96 and 192 points in each direction. On both lattices, the pion and kaon masses are equal to 270 and 450 MeV, respectively, and $m_{\pi }L$ thus reaches an unprecedented value of 25 on the larger lattice. This setup matches a single point on a chiral trajectory with fixed trace of the quark mass matrix and allows for comparisons to standard large-scale simulations. We present our algorithmic setup and performance measures, and report about our experience in thermalising large master-field lattices with fermions.

   hep-latPoS(2022)·26 citations
3. 03*

   On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis

   Zohreh Davoudi🇺🇸 · Saurabh V. Kadam🇺🇸

   Lattice quantum chromodynamics (LQCD) has the promise of constraining low-energy constants (LECs) of nuclear effective field theories (EFTs) from first-principles calculations that incorporate the dynamics of quarks and gluons. Given the Euclidean and finite-volume nature of LQCD outputs, complex mappings are developed in recent years to obtain the Minkowski and infinite-volume counterparts of LQCD observables. In particular, as LQCD is moving toward computing a set of important few-nucleon matrix elements at the physical values of the quark masses, it is important to investigate whether the anticipated precision of LQCD spectra and matrix elements will be sufficient to guarantee tighter constraints on the relevant LECs than those already obtained from phenomenology, considering the non-trivial mappings involved. With a focus on the leading-order LECs of the pionless EFT, $L_{1,A}$ and $g_{\nu }^{NN}$, which parametrize, respectively, the strength of the isovector axial two-body current in a single-$\beta$ decay (and other related processes such $pp$ fusion), and of the isotensor contact two-body operator in the neutrinoless double-$\beta$ decay within the light neutrino exchange scenario, the expected uncertainty on future extractions of $L_{1,A}$ and $g_{\nu }^{NN}$ are examined using synthetic data at the physical values of the quark masses. It is observed that achieving small uncertainties in $L_{1,A}$ will be challenging, and (sub)percent-level precision in the two-nucleon spectra and matrix elements is essential in reducing the uncertainty on this LEC compared to the existing constraints. On the other hand, the short-distance coupling of the neutrinoless double-$\beta$ decay, $g_{\nu }^{NN}$, is shown to be less sensitive to uncertainties on both LQCD energies and the matrix element, and can likely be constrained with percent-level precision in the upcoming LQCD calculations.

   hep-lathep-phnucl-thPRD(2022)·35 citations
4. 04*

   Chiral fermion on curved domain-wall

   Shoto Aoki🇯🇵 · Hidenori Fukaya🇯🇵

   We consider a massive fermion system having a curved domain-wall embedded in a square lattice. In a similar way to the conventional flat domain-wall fermion, chiral massless modes appear at the domain-wall but these modes feel "gravity" through the induced spin connections. In this work, we embed $S^1$ and $S^2$ domain-walls into a Euclidean space and show how the gravity is detected from the spectrum of the Dirac operator.

   hep-latPoS(2022)·2 citations
5. 05*

   Glueballs at Physical Pion Mass

   Feiyu Chen🇨🇳 · Xiangyu Jiang🇨🇳 · Ying Chen🇨🇳 · Keh-Fei Liu🇺🇸 · Wei Sun🇨🇳 · Yi-Bo Yang🇨🇳

   We study glueballs on two $N_f=2+1$ RBC/UKQCD gauge ensembles with physical quark masses at two lattice spacings. The statistical uncertainties of the glueball correlation functions are considerably reduced through the cluster decomposition error reduction (CDER) method. The Bethe-Salpeter wave functions are obtained for the scalar, tensor and pseudoscalar glueballs by using spatially extended glueball operators defined through the gauge potential $A_{\mu }(x)$ in the Coulomb gauge. These wave functions show similar features of non-relativistic two-gluon systems, and they are used to optimize the signals of the related correlation functions at the early time regions. Consequently, the ground state masses can be extracted precisely. To the extent that the excited state contamination is not important, our calculation gives glueball masses at the physical pion mass for the first time.

   hep-latCPC(2023)·26 citations
6. 06*

   Topology of the O(3) non-linear sigma model under the gradient flow

   Stuart Yi-Thomas🇺🇸 · Christopher Monahan🇺🇸

   The O(3) non-linear sigma model (NLSM) is a prototypical field theory for QCD and ferromagnetism, and provides a simple system in which to study topological effects. In lattice QCD, the gradient flow has been demonstrated to remove ultraviolet singularities from the topological susceptibility. In contrast, lattice simulations of the NLSM find that the topological susceptibility diverges in the continuum limit, even in the presence of the gradient flow. We introduce a $\theta$-term and analyze the topological charge as a function of $\theta$ under the gradient flow. Our results show that divergence persists in the presence of the flow, even at non-zero $\theta$.

   hep-latPoS(2022)·0 citations
7. 07*

   Dimensional Expressivity Analysis, best-approximation errors, and automated design of parametric quantum circuits

   Lena Funcke🇺🇸 · Tobias Hartung🇬🇧 · Karl Jansen🇩🇪 · Stefan Kühn🇨🇾 · Manuel Schneider🇩🇪 · Paolo Stornati🇩🇪

   The design of parametric quantum circuits (PQCs) for efficient use in variational quantum simulations (VQS) is subject to two competing factors. On one hand, the set of states that can be generated by the PQC has to be large enough to contain the solution state. Otherwise, one may at best find the best approximation of the solution restricted to the states generated by the chosen PQC. On the other hand, the PQC should contain as few parametric quantum gates as possible to minimize noise from the quantum device. Thus, when designing a PQC one needs to ensure that there are no redundant parameters. The dimensional expressivity analysis discussed in these proceedings is a means of addressing these counteracting effects. Its main objective is to identify independent and redundant parameters in the PQC. Using this information, superfluous parameters can be removed and the dimension of the space of states that are generated by the PQC can be computed. Knowing the dimension of the physical state space then allows us to deduce whether or not the PQC can reach all physical states. Furthermore, the dimensional expressivity analysis can be implemented efficiently using a hybrid quantum-classical algorithm. This implementation has relatively small overhead costs both for the classical and quantum part of the algorithm and could therefore be used in the future for on-the-fly circuit construction. This would allow for optimized circuits to be used in every loop of a VQS rather than the same PQC for the entire VQS. These proceedings review and extend work in [1, 2].

   ↳ quant-phhep-latPoS(2022)·6 citations
8. 08*

   QCD factorization for the four-body leptonic $B$-meson decays

   Chao Wang🇨🇳 · Yu-Ming Wang🇨🇳 · Yan-Bing Wei🇨🇳

   Employing the QCD factorization formalism we compute $B_u^{-}\to {\gamma }^{\ast }\ell {\bar{\nu }}_{\ell }$ form factors with an off-shell photon state possessing the virtuality of order $m_b{\Lambda }_{\mathrm{QCD}}$ and $m_b^2$, respectively, at next-to-leading order in QCD. Perturbative resummation for the enhanced logarithms of $m_b/{\Lambda }_{\mathrm{QCD}}$ in the resulting factorization formulae is subsequently accomplished at next-to-leading logarithmic accuracy with the renormalization-group technique in momentum space. In particular, we derive the soft-collinear factorization formulae for a variety of the subleading power corrections to the exclusive radiative $B_u^{-}\to {\gamma }^{\ast }{W}^{\ast }$ form factors with a hard-collinear photon at $\mathcal{O}({\alpha }_s^0)$. We further construct the complete set of the angular observables governing the full differential distribution of the four-body leptonic decays $B_u^{-}\to {\ell }^{\prime }{\bar{\ell }}^{\prime }\ell {\bar{\nu }}_{\ell }$ with $\ell ,{\ell }^{\prime }\in \{e,\mu \}$ and then perform an exploratory phenomenological analysis for a number of decay observables accessible at the LHCb and Belle II experiments, with an emphasis on the systematic uncertainties arising from the shape parameters of the leading-twist $B$-meson light-cone distribution amplitude in heavy quark effective theory.

   ↳ hep-phhep-exhep-latJHEP(2022)·33 citations
9. 09*

   New renormalons from analytic trans-series

   Marcos Marino🇨🇭 · Ramon Miravitllas🇨🇭 · Tomas Reis🇨🇭

   We study the free energy of integrable, asymptotically free field theories in two dimensions coupled to a conserved charge. We develop methods to obtain analytic expressions for its trans-series expansion, directly from the Bethe ansatz equations, and we use this result to determine the structure of its Borel singularities. We find a new class of infrared renormalons which does not fit the traditional expectations of renormalon physics proposed long ago by 't Hooft and Parisi. We check the existence of these new singularities with detailed calculations based on the resurgent analysis of the perturbative expansion. Our results show that the structure of renormalons in asymptotically free theories is more subtle than previously thought, and that large $N$ estimates of their location might be misleading.

   ↳ hep-thhep-lathep-phmath-ph+1JHEP(2022)·39 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.