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SUMMARY:Efficient on-shell matching - Jose Santiago (Universidad de Granad
 a)
DTSTART:20241206T160000Z
DTEND:20241206T170000Z
UID:TALK224257@talks.cam.ac.uk
CONTACT:Nico Gubernari
DESCRIPTION:We propose an efficient method to perform on-shell matching ca
 lculations in effective field theories. The standard off-shell approach to
  matching requires the use of a Green's basis that includes redundant and 
 evanescent operators. The reduction of such a basis to a physical one is o
 ften highly non-trivial\, difficult to automate and error prone. Our propo
 sal is based on a numerical solution of the corresponding on-shell matchin
 g equations\, which automatically implements in a trivial way the delicate
  cancellation between the non-local terms in the full theory and those in 
 the effective one. The use of rational on-shell kinematics ensures an exac
 t analytic solution despite the numerical procedure. In this way we only n
 eed a physical basis to perform the matching. Our procedure can be used to
  reduce any Green's basis to an arbitrary physical one\, or to translate b
 etween physical bases\; to renormalize arbitrary effective Lagrangians\, d
 irectly in terms of a physical basis\; and to perform finite matching\, in
 cluding evanescent contributions\, as we discuss with explicit examples.
LOCATION:MR19 (Potter Room\, Pavilion B)\, CMS
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