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SUMMARY:Three-Point Correlation Functions and Primordial Non-Gaussianity i
 n Horndeski Gravity beyond Leading Order
DTSTART;VALUE=DATE-TIME:20261029T142500Z
DTEND;VALUE=DATE-TIME:20261029T144000Z
DTSTAMP;VALUE=DATE-TIME:20261027T114111Z
UID:indico-contribution-6261@cern.ch
DESCRIPTION:Speakers: Maxim Stepanov (INR RAS)\nWe investigate primordial 
 correlation functions in a broad class of cosmological models within Hornd
 eski gravity whose background evolution admits a controlled slow-roll expa
 nsion. Using the Schwinger–Keldysh (in-in) formalism\, we derive the pri
 mordial three-point correlation functions in the tensor and mixed scalar
 –tensor sectors\, including slow-roll corrections beyond the leading-ord
 er approximation. In particular\, to the best of our knowledge\, our resul
 ts provide the first general derivation of the mixed scalar–tensor bispe
 ctra beyond leading order in the full Horndeski theory. We further obtain 
 the corresponding non-linearity parameters and spectral indices\, thereby 
 providing a systematic characterization of primordial non-Gaussianity in t
 his broad class of theories. We also verify the relevant Maldacena consist
 ency relations in the squeezed limits of the mixed correlators. Besides se
 rving as a nontrivial check of the calculations\, this verification establ
 ishes that the resulting bispectra satisfy the soft-limit constraints impl
 ied by residual diffeomorphism invariance and adiabatic single-clock dynam
 ics. As an application\, we consider a non-singular cosmological model des
 cribing a bouncing Universe and evaluate the associated non-linearity para
 meters. The resulting predictions connect the primordial dynamics of non-s
 ingular cosmology with potentially observable signatures of non-Gaussianit
 y that may be tested by future cosmological observations.\n\nhttps://indic
 o.particle.mephi.ru/event/626/contributions/6261/
LOCATION: Conference Hall 5
URL:https://indico.particle.mephi.ru/event/626/contributions/6261/
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