Tue·Oct 25, 2022Tuesday·October 25, 2022

1. 01*

   Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel

   Nils Asmussen🇬🇧 · En-Hung Chao🇩🇪 · Antoine Gérardin🇫🇷 · Jeremy R. Green🇩🇪 · Renwick J. Hudspith🇩🇪 · Harvey B. Meyer🇩🇪 · Andreas Nyffeler🇩🇪

   Hadronic light-by-light scattering is one of the virtual processes that causes the gyromagnetic factor $g$ of the muon to deviate from the value of two predicted by Dirac's theory. This process makes one of the largest contributions to the uncertainty of the Standard Model prediction for the muon $(g-2)$. Lattice QCD allows for a first-principles approach to computing this non-perturbative effect. In order to avoid power-law finite-size artifacts generated by virtual photons in lattice simulations, we follow a coordinate-space approach involving a weighted integral over the vertices of the QCD four-point function of the electromagnetic current carried by the quarks. Here we present in detail the semi-analytical calculation of the QED part of the amplitude, employing position-space perturbation theory in continuous, infinite four-dimensional Euclidean space. We also provide some useful information about a computer code for the numerical implementation of our approach that has been made public at https://github.com/RJHudspith/KQED.

   hep-lathep-phhep-thJHEP(2023)·21 citations
2. 02*

   Ab-initio study of dibaryons with highest bottom number

   M. Padmanath · Nilmani Mathur🇮🇳 · Debsubhra Chakraborty🇮🇳

   We present the first lattice study of dibaryons with highest bottom number. Utilizing a set of state-of-the-art lattice QCD ensembles and methodologies, we determine the ground state of dibaryon composed of two ${\Omega }_{bbb}$ baryons. We extract the related scattering amplitude in the ${}^1{S}_0$ channel and find a sub-threshold pole, which signifies an unambiguous evidence for a deeply bound ${\Omega }_{bbb}-{\Omega }_{bbb}$ dibaryon. The binding energy of such a state as dictated by this pole singularity is found to be -81(${}_{-16}^{+14}$) MeV. We quantify various systematic uncertainties involved in this determination, including those related to the excited state contamination and Coulomb repulsion between the bottom quarks.

   hep-lathep-phPoS(2023)·2 citations
3. 03*

   Study of $I=0$ bottomonium bound states and resonances based on lattice QCD static potentials

   Pedro Bicudo🇵🇹 · Nuno Cardoso🇵🇹 · Lasse Mueller🇩🇪 · Marc Wagner🇩🇪

   We investigate $I=0$ bottomonium bound states and resonances in S, P, D and F waves using lattice QCD static-static-light-light potentials. We consider five coupled channels, one confined quarkonium and four open $B^{(\ast )}{\bar{B}}^{(\ast )}$ and $B_s^{(\ast )}{\bar{B}}_s^{(\ast )}$ meson-meson channels and use the Born-Oppenheimer approximation and the emergent wave method to compute poles of the T matrix. We discuss results for masses and decay widths and compare them to existing experimental results. Moreover, we determine the quarkonium and meson-meson composition of these states to clarify, whether they are ordinary quarkonium or should rather be interpreted as tetraquarks.

   hep-lathep-phPoS(2023)·3 citations
4. 04*

   Numerical Evaluation of a Soliton Pair with Long Range Interaction

   Joachim Wabnig🇦🇹 · Josef Resch🇦🇹 · Dominik Theuerkauf🇦🇹 · Fabian Anmasser🇦🇹 · Manfried Faber🇦🇹

   Within the model of topological particles (MTP) we determine the interaction energy of monopole pairs, sources and sinks of a Coulombic field. The monopoles are represented by topological solitons of finite size and mass, described by a field without any divergences. We fix the soliton centres in numerical calculations at varying distance. Due to the finite size of the solitons we get deviations from the Coulomb potential at distances of a few soliton radii. We compare the numerical results for these deviations with the running of the coupling in perturbative QED.

   hep-latUniverse(2025)·5 citations
5. 05*

   Five loop anomalous dimension of non-singlet quark currents in the RI' scheme

   J.A. Gracey🇬🇧

   We construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified Regularization Invariant (RI') scheme. Using these core results we also compute the four loop Green's function where the quark mass operator and vector current are separately inserted in a quark 2-point function. These are necessary for measurements of the same quantities on the lattice. The Green's functions are provided in both the modified Minimal Subtraction (MSbar) and RI' schemes. All the results are available for a general Lie group.

   ↳ hep-phhep-latEPJC(2023)·10 citations
6. 06*

   Fractional topological charge in lattice Abelian gauge theory

   Motokazu Abe🇯🇵 · Okuto Morikawa🇯🇵 · Hiroshi Suzuki🇯🇵

   We construct a non-trivial $U(1)/{\mathbb{Z}}_q$ principal bundle on~$T^4$ from the compact $U(1)$ lattice gauge field by generalizing Lüscher's constriction so that the cocycle condition contains ${\mathbb{Z}}_q$ elements (the 't~Hooft flux). The construction requires an admissibility condition on lattice gauge field configurations. From the transition function so constructed, we have the fractional topological charge that is ${\mathbb{Z}}_q$ one-form gauge invariant and odd under the lattice time reversal transformation. Assuming a rescaling of the vacuum angle $\theta \to q\theta$ suggested from the Witten effect, our construction provides a lattice implementation of the mixed 't~Hooft anomaly between the ${\mathbb{Z}}_q$ one-form symmetry and the time reversal symmetry in the $U(1)$ gauge theory with matter fields of charge~$q\in 2\mathbb{Z}$ when $\theta =\pi$, which was studied by Honda and Tanizaki [J. High Energy Phys. \textbf{12}, 154 (2020)] in the continuum framework.

   ↳ hep-thhep-latPTEP(2023)·13 citations
7. 07*

   Perturbative Color Correlations in Double Parton Scattering

   B.Blok🇮🇱 · J. Mehl🇮🇱

   We study the contribution of color correlations to Double Parton Scattering (DPS). We show that there is a specific class of Feynman diagrams related to so called 1 \textrightarrow{} 2 processes when the contribution of these color correlations is not Sudakov suppressed with the transverse scales. The split scale increases with the transverse scale Q, with color correlations being up to 5-10 percent of singlet ones. The effective absence of Sudakov suppression gives hope that although they are small relative to color singlet correlations, they eventually can be observed.

   ↳ hep-phhep-exhep-latnucl-thInt.J.Mod.Phys.A(2024)·5 citations
8. 08*

   Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization

   Wei Zhu🇨🇳 · Chao Han🇨🇳 · Emilie Huffman🇨🇦 · Johannes S. Hofmann🇮🇱 · Yin-Chen He🇨🇦

   The $3D$ Ising transition, the most celebrated and unsolved critical phenomenon in nature, has long been conjectured to have emergent conformal symmetry, similar to the case of the $2D$ Ising transition. Yet, the emergence of conformal invariance in the $3D$ Ising transition has rarely been explored directly, mainly due to unavoidable mathematical or conceptual obstructions. Here, we design an innovative way to study the quantum version of the $3D$ Ising phase transition on spherical geometry, using the "fuzzy (non-commutative) sphere" regularization. We accurately calculate and analyze the energy spectra at the transition, and explicitly demonstrate the state-operator correspondence (i.e. radial quantization), a fingerprint of conformal field theory. In particular, we have identified 13 parity-even primary operators within a high accuracy and 2 parity-odd operators that were not known before. Our result directly elucidates the emergent conformal symmetry of the $3D$ Ising transition, a conjecture made by Polyakov half a century ago. More importantly, our approach opens a new avenue for studying $3D$ CFTs by making use of the state-operator correspondence and spherical geometry.

   ↳ cond-mat.stat-mechcond-mat.str-elhep-lathep-thPRX(2023)·149 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.