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SUMMARY:Massive Inflationary Amplitudes: Differential Equations and Comple
 te Solutions for General Trees
DTSTART;VALUE=DATE-TIME:20260521T090000Z
DTEND;VALUE=DATE-TIME:20260521T091500Z
DTSTAMP;VALUE=DATE-TIME:20260530T133047Z
UID:indico-contribution-2479@indico.itp.ac.cn
DESCRIPTION:Speakers: Haoyuan Liu (Tsinghua University)\nWe construct and 
 solve a complete system of differential equations for general tree-level i
 nflation correlators with an arbitrary number of massive scalar exchanges 
 and time-dependent couplings. Any massive tree correlators can be uniquely
  fixed by solving this system of equations with appropriate boundary condi
 tions. We take a hybrid approach to solve this system\, using the differen
 tial equation to get the inhomogeneous solution and the bulk time integral
 s to determine the homogeneous solution. Altogether\, we obtain analytical
  results for all tree-level massive inflation correlators with generic kin
 ematics\, expressed as multivariate hypergeometric series of energy ratios
 . The result can be neatly organized as a sum of the completely inhomogene
 ous solution\, which we call the massive family tree\, and all of its cuts
 . As simple applications\, we provide full analytical expressions for tree
  correlators with one\, two\, and three massive exchanges.\n\nhttps://indi
 co.itp.ac.cn/event/419/contributions/2479/
LOCATION:Small Lecture Hall\, Chongqing University Library (图书馆小
 报告厅) 1F-9
URL:https://indico.itp.ac.cn/event/419/contributions/2479/
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