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We develop a formalism to study indirect resonant inelastic x-ray scattering(RIXS) in systems with itinerant electrons, accounting for the attractionbetween valence electrons and the positively-charged core hole exactly, andapply this formalism to the hole-doped cuprate superconductors. We focus on therelationship between RIXS lineshapes and band structure, including brokensymmetries. We show that RIXS is capable of distinguishing between competingorder parameters, establishing it as a useful probe of the pseudogap phase.

Probing Competing and Intertwined Orders with Resonant Inelastic x-ray Scattering in the Hole-Doped Cuprates