We discuss numerical aspects of instantons in two- and three-dimensional theories with an internal symmetry group, the so-called -vector model. By combining asymptotic transseries expansions for large arguments with convergence acceleration techniques, we obtain high-precision values for certain integrals of the instanton that naturally occur in loop corrections around instanton configurations. Knowledge of these numerical properties is necessary in order to evaluate corrections to the large-order factorial growth of perturbation theory in theories. The results contribute to the understanding of the mathematical structures underlying the instanton configurations. Published by the American Physical Society2024
more »
« less
Dimensional regularization and two-loop vacuum polarization operator: Master integrals, analytic results, and energy shifts
We present a complete reevaluation of the irreducible two-loop vacuum-polarization correction to the photon propagator in quantum electrodynamics, i.e. with an electron-positron pair in the fermion propagators. The integration is carried out by reducing the integrations to a limited set of master integrals, which are calculated using integration-by-parts identities. Dimensional regularization is used in dimensions, and on-mass shell renormalization is employed. The one-loop effect is given to order , to be combined with the divergence of the two-loop amplitude. Master integrals are given. Final evaluations of two-loop energy shifts for , , and states are done analytically, and results are presented, with an emphasis on muonic hydrogen. For relativistic Dirac-Coulomb reference states, higher-order coefficients are obtained for the -expansion. We compare the results obtained to the existing literature. Published by the American Physical Society2024
more »
« less
- Award ID(s):
- 2110294
- PAR ID:
- 10530202
- Publisher / Repository:
- American Physical Society
- Date Published:
- Journal Name:
- Physical Review D
- Volume:
- 109
- Issue:
- 9
- ISSN:
- 2470-0010
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
Searches for pair-produced multijet signatures using data corresponding to an integrated luminosity of of proton-proton collisions at are presented. A data scouting technique is employed to record events with low jet scalar transverse momentum sum values. The electroweak production of particles predicted in -parity violating supersymmetric models is probed for the first time with fully hadronic final states. This is the first search for prompt hadronically decaying mass-degenerate higgsinos, and extends current exclusions on -parity violating top squarks and gluinos. © 2024 CERN, for the CMS Collaboration2024CERNmore » « less
-
Six-dimensional chiral gauged Einstein-Maxwell supergravity admits a two-parameter rotating dyonic string solution whose near horizon limit is the direct product of three-dimensional Anti-De Sitter space and a squashed three-sphere . For a particular relation between the two parameters, the solution preserves supersymmetry. We determine the complete Kaluza-Klein spectrum of the theory around these backgrounds. For the supersymmetric backgrounds, the states organize into infinite towers of long and short multiplets of . In a certain limit of parameters, both the supersymmetric and the nonsupersymmetric spectra exhibit scale separation. In the latter case there are five topologically massive vectors and five scalars retaining finite masses with integer conformal dimensions, and in the supersymmetric case there are supersymmetric partners with half integer conformal dimensions, while all other masses diverge. Published by the American Physical Society2025more » « less
-
The quantum numbers of monopoles in in the presence of massless fermions have been analyzed using a uniform flux background in coupled to fermions. An analogous study in is performed by studying the discrete symmetries of the Dirac Hamiltonian in the presence of a static uniform field on with a total flux of in the continuum. The degenerate ground states are classified based on their transformation properties under rotations of that leave the background field invariant. We find that the lattice analysis with overlap fermions exactly reproduces the transformation properties of the single-particle zero modes in the continuum. Whereas the transformation properties of the single-particle negative energy states can be studied in the continuum and the lattice, we are also able to study the transformation properties and the particle number (charge) of the many-body ground state on a finite lattice, and we show that the contributions from the fully filled single-particle states cannot be ignored. Published by the American Physical Society2025more » « less
-
Differential cross sections are measured for the standard model Higgs boson produced in association with vector bosons ( , ) and decaying to a pair of quarks. Measurements are performed within the framework of the simplified template cross sections. The analysis relies on the leptonic decays of the and bosons, resulting in final states with 0, 1, or 2 electrons or muons. The Higgs boson candidates are either reconstructed from pairs of resolved -tagged jets, or from single large-radius jets containing the particles arising from two quarks. Proton-proton collision data at , collected by the CMS experiment in 2016–2018 and corresponding to a total integrated luminosity of , are analyzed. The inclusive signal strength, defined as the product of the observed production cross section and branching fraction relative to the standard model expectation, combining all analysis categories, is found to be . This corresponds to an observed (expected) significance of 6.3 (5.6) standard deviations. © 2024 CERN, for the CMS Collaboration2024CERNmore » « less
An official website of the United States government

