Counting parity-violating local S-matrices

A bstract Four point tree-level local S-matrices form a module over ring of polynomials of Mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethy...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 4; pp. 109 - 36
Main Author Chowdhury, Subham Dutta
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 24.04.2023
Springer Nature B.V
SpringerOpen
Subjects
Atoms & subatomic particles
Classical and Quantum Gravitation
Correspondence
Effective Field Theories
Elementary Particles
Gluons
Gravitons
High energy physics
Lie groups
Mathematical analysis
Modules
Parity
Partitions (mathematics)
Photons
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Rings (mathematics)
Scattering
Scattering Amplitudes
Spacetime
String Theory
Effective Field Theories
Scattering Amplitudes
Online AccessGet full text

Cover

More Information
Summary:A bstract Four point tree-level local S-matrices form a module over ring of polynomials of Mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethystic contribution to local four point photon, graviton and gluon multi-particle partition functions that encode parity violating 2 → 2 scattering. We generalise the counting problem solved in [ 1 , 2 ] to project out parity violating sectors, a subtle task in even dimensions [ 3 ]. We explicitly enumerate the parity odd contributions to the multi-letter partition function for gauge fields, gravitons and gluons and evaluate the resulting parity violating partition functions in D = 4 , 6. We also perform a large D analysis to show that parity violating local interactions do not contribute to four particle scattering in higher dimensions ( D ≥ 8). Our computations and observations for photons, gravitons and gluons agree with the transformation properties of these S-matrices previously conjectured in [ 1 , 2 ]
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2023)109