Higher spin supersymmetry at the cosmological collider: sculpting SUSY rilles in the CMB

Abstract

We study the imprint of higher spin supermultiplets on cosmological correlators, namely the non-Gaussianity of the cosmic microwave background. Supersymmetry is used as a guide to introduce the contribution of fermionic higher spin particles, which have been neglected thus far in the literature. This necessarily introduces more than just a single additional fermionic superpartner, since the spectrum of massive, higher spin supermultiplets includes two propagating higher spin bosons and two propagating higher spin fermions, which all contribute to the three point function. As an example we consider the half-integer superspin Y = s + 1/2 supermultiplet, which includes particles of spin values j = s + 1, j = s + 1/2, j = s + 1/2 and j = s. We compute the curvature perturbation 3-point function for higher spin particle exchange and find that the known P s (cos θ) angular dependence is accompanied by superpartner contributions that scale as P s+1 (cos θ) and m P m s (cos θ), with P s and P m s defined as the Legendre and Associated Legendre polynomials respectively. We also compute the tensor-scalar-scalar 3-point function, and find a complicated angular dependence as an integral over products of Legendre and associated Legendre polynomials.

Probing P and CP violations on the cosmological collider

“…Its underneath idea is that particles produced in the exponentially expanding spacetime interact with each other and leave characteristic imprints on the correlation functions of curvature fluctuations and tensor fluctuations (primordial gravitational waves). For example, the mass of the mediator is encoded in the scaling/oscillation behavior of correlation functions in the soft limit, its spin is extracted from the angular dependence P S (cos θ) [43], and the couplings are read from the size of non-Gaussianities f N L in the correlation functions. For light fields, signals are usually large [26].…”

Cosmological collider physics and the curvaton

“…This is the focus of the "cosmological collider physics" program [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. For various recent ideas in this direction see, [18][19][20][21][22][23][24][25][26][27][28].…”

The Cosmological Bootstrap: Spinning correlators from symmetries and factorization

“…33) where we have written the coefficient of the scalar functional derivative as ∆ − to emphasize that it is the weight of the late-time bulk field profile. The equation (B.33) can also be derived from a purely boundary perspective by demanding invariance of the generating function under the following Weyl transformation[89] …”