{"knowledge_schema": {"broad_category": "Physics \u2192 Particle Physics \u2192 Scattering Theory", "refinement": "This problem deals with the calculation of cross sections for particle interactions, specifically focusing on neutrino-nucleus scattering.", "specific_scope": "The task is to identify the correct formula for the cross section of coherent scattering between a neutrino and an atomic nucleus without the approximations of massless neutrinos and low energy.", "goal": "Select the appropriate formula from the given candidates that accurately represents the cross section under the specified conditions."}, "summary": "This problem involves identifying the correct formula for the cross section of coherent scattering between a neutrino and an atomic nucleus, considering the full mass effects of the neutrino. The candidates provided include various formulations that differ in their treatment of kinetic energy transfer and mass terms. The goal is to select the formula that accurately reflects the physics of the interaction without the approximations of massless neutrinos and low energy, ensuring that all relevant terms are included."}