  Recent scanning tunneling microscopy (STM) measurements have observed a
multi-peak energy structure on the positive bias side in dilute-hole-doped
cuprates, where tightly-bound hole pairs are identified as the building blocks
that can continuously persist into the superconducting regime. In this work, we
study the single-particle spectral function based on a two-hole ground state
wavefunction [Phys. Rev. X 12, 011062 (2022)], which can provide a consistent
understanding of the experimental results. Here the wavefunction structure with
a dichotomy of $d$-wave Cooper pairing and $s$-wave ``twisted hole'' pairing
will lead to two branches in the local spectral function where the low-lying
one corresponds to a conventional nodal quasiparticle, and a higher energy
branch is associated with a ``twisted'' quasiparticle above the pair breaking
or ``pseudogap'' energy. These energies can be further extended into energy
spectra in the momentum space, in which the low-energy dispersion agrees
excellently with the Quantum Monte Carlo numerical result. The implications for
the STM spectra in the superconducting state will also be discussed.
