A What is the explanation behind loops as O(h) corrections in tree level diagrams?

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tree level diagrams are classical, and loops are corrections of order h. what is a good derivation or explanation of this?
 
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Ryder, Quantum Field Theory, page 317.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
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