Speaker
Description
We develop a unified, symmetry-based effective field theory (EFT) framework for heavy-light meson systems, combining Hilbert series methods, flavor symmetries, and chiral EFT ideas, with a systematic extension to finite-temperature environments.
We construct a complete and non-redundant operator basis for heavy-light meson EFT using Hilbert series techniques, incorporating symmetry constraints, spurions, and redundancy removal through equations of motion and integration-by-parts. Building on this, we derive all symmetry-driven amplitude relations (sum rules) arising from isospin, U-spin, and SU(3)$_V$ flavor symmetries, together with their controlled breaking patterns.
We further extend the framework by incorporating vector mesons within the heavy hadron chiral perturbation theory (HHChPT) framework, combined with heavy meson EFT, enabling a more complete description of heavy–light hadronic dynamics beyond the pseudoscalar sector.
In parallel, we formulate a Hilbert series framework for finite-temperature EFTs on $\mathbb{R}^3 \times S^1$, where reduced symmetry and distinct temporal and spatial structures lead to modified redundancy conditions and new operator building blocks. Using this, we obtain complete operator bases for the Standard Model and selected beyond-the-Standard-Model scenarios at finite temperature, including operators that vanish in the zero-temperature limit. We finally extend this construction to heavy-light meson EFT, providing the first systematic classification of thermal operators in such systems.
This work delivers a coherent EFT toolchain linking operator-basis construction, symmetry relations, and finite-temperature effects, with applications to flavor physics and hot QCD environments.