GW231109_235456: A Sub-threshold Binary Neutron Star Merger in the LIGO-Virgo-KAGRA O4a Observing Run?
We present a sub-threshold search for gravitational-wave inspirals from binary neutron stars using data from the first part of the fourth LIGO--Virgo--KAGRA observing run. To enhance sensitivity to this targeted population, we adopt a population prior informed by the Galactic double neutron star population observed via radio pulsar surveys and by the confirmed GW170817 event. The search, with a sensitivity ~60% higher than standard GWTC-4.0 searches, recovers the previously sub-threshold candidate GW231109_235456 (reported in GWTC-4.0) with a network signal-to-noise ratio of 9.7 and an improved false-alarm rate of 1 per 60 years. Accounting for a trials factor of five, arising from the four previous searches and this new search, the false-alarm rate of the candidate is approximately 1 per 12 years. If the event is of astrophysical origin, the inferred source properties indicate component masses of 1.40 to 2.24 solar masses for the primary and 0.97 to 1.49 solar masses for the secondary, yielding a total mass of 2.95 solar masses with an uncertainty of plus 0.38 and minus 0.07 solar masses. The event is localized to a region of 430 square degrees (90% probability) at a luminosity distance of 165 megaparsecs with an uncertainty of plus 70 and minus 69 megaparsecs. Assuming the signal arises from a binary neutron star merger, this event would contribute a local merger rate of 53 to 342 per cubic gigaparsec per year (90% credible interval).