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Use when relating quasi-observables at finite hadron momentum to light-cone quantities using leading-power LaMET asymptotic expansion.
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| name | lamet_asymptotic_expansion |
| description | Use when relating quasi-observables at finite hadron momentum to light-cone quantities using leading-power LaMET asymptotic expansion. |
Apply this skill when the task involves quasi-distributions, quasi-TMD matrix elements, or other quasi-observables computed at finite hadron momentum and you need a leading-power relation to the corresponding light-cone quantity.
Relate quasi-observables computed at finite hadron momentum to their light-cone counterparts using the large-momentum effective theory (LaMET) asymptotic expansion.
P_z >> Lambda_QCDO(1 / P_z^2) power corrections unless the user explicitly asks to analyze themquasi_observable: Renormalized quasi-distribution or quasi-TMD matrix element defined with spacelike Wilson lineshadron_momentum: Large hadron momentum component, usually P_zrenormalization_scale: Renormalization scale mufactorized_form: Leading-power factorized expression relating the quasi-observable to the corresponding light-cone quantitypower_counting_statement: Explicit statement of neglected power corrections and their parametric scalingIdentify the large-momentum variable. Fix the reference frame and specify which hadron momentum component is taken to be asymptotically large.
Perform the power expansion.
Expand the quasi-observable in powers of 1 / P_z and keep the leading-power term.
Match operator structures. Identify the light-cone operator corresponding to the leading term in the large-momentum expansion.
State the factorization formula. Write the leading-power LaMET relation, including perturbative matching if required by the task.
P_z independent up to higher-order corrections.O(1 / P_z^2) or smaller.