We reexamine a dynamical dark matter model with Kaluza-Klein (KK) towers of gravitons and neutrinos fitting together in the dark dimension. We show that even though gravitational decays of neutrino KK towers have little impact in cosmology, the weak decay channel could have significant cosmological effects. Taking conservative upper bounds on the dark matter decay rate into two photons before reionization and on the number of effective extra neutrino species , we derive constraints on the conversion rate from active to sterile species despite the dependence of the mixing angle on the KK mode mass. We also provide counterarguments to a recent claim suggesting that the bounds on rule out micron-sized extra dimensions. Published by the American Physical Society2025
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Cyclic Products of Higher-Genus Szegö Kernels, Modular Tensors, and Polylogarithms
A wealth of information on multiloop string amplitudes is encoded in fermionic two-point functions known as Szegö kernels. Here we show that cyclic products of any number of Szegö kernels on a Riemann surface of arbitrary genus may be decomposed into linear combinations of modular tensors on moduli space that carry all the dependence on the spin structure . The -independent coefficients in these combinations carry all the dependence on the marked points and are composed of the integration kernels of higher-genus polylogarithms. We determine the antiholomorphic moduli derivatives of the -dependent modular tensors. Published by the American Physical Society2024
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- Award ID(s):
- 2209700
- PAR ID:
- 10625375
- Publisher / Repository:
- American Physical Society
- Date Published:
- Journal Name:
- Physical Review Letters
- Volume:
- 133
- Issue:
- 2
- ISSN:
- 0031-9007
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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