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SUMMARY:Efficient on-shell matching
DTSTART;VALUE=DATE-TIME:20241120T094500Z
DTEND;VALUE=DATE-TIME:20241120T100000Z
DTSTAMP;VALUE=DATE-TIME:20260421T131512Z
UID:indico-contribution-25288@indico.ific.uv.es
DESCRIPTION:Speakers: Javier López Miras (Universidad de Granada)\nWe pro
 pose an efficient method to perform on-shell matching calculations in effe
 ctive field theories. The standard off-shell approach to matching requires
  the use of a Green's basis that includes redundant and evanescent operato
 rs. The reduction of such a basis to a physical one is often highly non-tr
 ivial\, difficult to automate and error prone. However\, on-shell matching
  allows to perform the matching directly to the physical basis\, thus over
 coming the necessity to deal with redundancies and evanescent operators. \
 n\nOur proposal is based on a numerical solution of the corresponding on-s
 hell matching equations\, which automatically implements in a trivial way 
 the delicate cancellation of non-local terms between the full theory and t
 he effective one. The use of rational on-shell kinematics ensures an exact
  analytic solution despite the numerical procedure. In contrast to the tra
 ditional off-shell matching\, where one has to match only one-light-partic
 le irreducible Green functions\, with this approach the full amplitude is 
 needed. In this way we only need a physical basis to perform the matching.
  We present the algorithm and some further applications in which the on-sh
 ell matching approach can be very useful\, such as the automation of the G
 reen’s basis reduction to a physical one\, the obtaining of evanescent c
 ontributions or the computation of renormalization group equations.\n\nhtt
 ps://indico.ific.uv.es/event/7664/contributions/25288/
LOCATION:
URL:https://indico.ific.uv.es/event/7664/contributions/25288/
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