Five-dimensional spinor helicity for all masses and spins

Pokraka, Andrzej; Rajan, Smita; Ren, Lecheng; Volovich, Anastasia; Zhao, W. Wayne

doi:10.1007/JHEP07(2025)056

Five-dimensional spinor helicity for all masses and spins

Journal Article · Thu Jul 03 00:00:00 EDT 2025 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2025)056· OSTI ID:3006317

^[1]; ^[1]; ^[1]; ^[2]; ^[3]

Brown Univ., Providence, RI (United States)
Brown Univ., Providence, RI (United States); Harvard Univ., Cambridge, MA (United States)
Princeton Univ., NJ (United States)

We develop a spinor helicity formalism for five-dimensional scattering amplitudes of any mass and spin configuration. While five-dimensional spinor helicity variables have been previously studied in the context of $$\mathcal{N}$$ = 2, 4 supersymmetric Yang-Mills scattering amplitudes with spin less than two [1], we propose an alternative viewpoint that stems from d-dimensional spinor helicity variables avoiding the decomposition of a massive momentum into the sum of two massless momenta. By enumerating all possible independent little group tensors, we systematically build the full space of five-dimensional three-point tree-level scattering amplitudes for any configuration of spins and masses. Furthermore, we provide a prescription for computing the high energy limit of scattering amplitudes written in our spinor helicity variables. We also expect that our formalism will be applicable to effective field theories with higher spin, in particular, the scattering of highly spinning black holes in five dimensions.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States); Brown University, Providence, RI (United States)

Sponsoring Organization:: Simons Investigator; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010010

OSTI ID:: 3006317

Alternate ID(s):: OSTI ID: 2571356

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2025; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (30)

General three-point functions in 4D CFT Elkhidir, Emtinan; Karateev, Denis; Serone, Marco Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)133	journal	January 2015
Kerr black holes as elementary particles Arkani-Hamed, Nima; Huang, Yu-tin; O’Connell, Donal Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)046	journal	January 2020
Compton black-hole scattering for s ≤ 5/2 Chiodaroli, Marco; Johansson, Henrik; Pichini, Paolo Journal of High Energy Physics, Vol. 2022, Issue 2 https://doi.org/10.1007/JHEP02(2022)156	journal	February 2022
Spinor-helicity formalism for massive and massless amplitudes in five dimensions Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik Journal of High Energy Physics, Vol. 2023, Issue 2 https://doi.org/10.1007/JHEP02(2023)040	journal	February 2023
Helicity amplitudes for QCD with massive quarks Ochirov, Alexander Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)089	journal	April 2018
Classification of all 3 particle S-matrices quadratic in photons or gravitons Chakraborty, Soumangsu; Chowdhury, Subham Dutta; Gopalka, Tushar Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)110	journal	April 2020
Amplitudes from Coulomb to Kerr-Taub-NUT Emond, William T.; Huang, Yu-tin; Kol, Uri Journal of High Energy Physics, Vol. 2022, Issue 5 https://doi.org/10.1007/JHEP05(2022)055	journal	May 2022
Spinor-helicity three-point amplitudes from local cubic interactions Conde, Eduardo; Joung, Euihun; Mkrtchyan, Karapet Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)040	journal	August 2016
Constructing $$ \mathcal{N} $$ = 4 Coulomb branch superamplitudes Herderschee, Aidan; Koren, Seth; Trott, Timothy Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)107	journal	August 2019
Lorentz constraints on massive three-point amplitudes Conde, Eduardo; Marzolla, Andrea Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)041	journal	September 2016
Double copy for massive quantum particles with spin Johansson, Henrik; Ochirov, Alexander Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)040	journal	September 2019
Spinning conformal correlators Costa, Miguel S.; Penedones, João; Poland, David Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)071	journal	November 2011
Scattering amplitudes for all masses and spins Arkani-Hamed, Nima; Huang, Tzu-Chen; Huang, Yu-tin Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)070	journal	November 2021
Massive amplitudes on the Coulomb branch of $$ \mathcal{N} = 4 $$ SYM Craig, Nathaniel; Elvang, Henriette; Kiermaier, Michael Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)097	journal	December 2011
Kerr-Newman stress-tensor from minimal coupling Chung, Ming-Zhi; Huang, Yu-tin; Kim, Jung-Wook Journal of High Energy Physics, Vol. 2020, Issue 12 https://doi.org/10.1007/JHEP12(2020)103	journal	December 2020
Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry De Laurentis, Giuseppe; Page, Ben Journal of High Energy Physics, Vol. 2022, Issue 12 https://doi.org/10.1007/JHEP12(2022)140	journal	December 2022
Black holes in higher dimensional space-times Myers, R. C.; Perry, M. J. Annals of Physics, Vol. 172, Issue 2 https://doi.org/10.1016/0003-4916(86)90186-7	journal	December 1986
Quantum Field Theory and the Standard Model Schwartz, Matthew D. https://doi.org/10.1017/9781139540940	book	January 2013
String Theory Polchinski, Joseph Cambridge University Press https://doi.org/10.1017/CBO9780511618123	book	January 2010
Quantum Field Theory Srednicki, Mark Cambridge University Press https://doi.org/10.1017/CBO9780511813917	book	January 2007
Scattering Amplitudes in Gauge Theory and Gravity Elvang, Henriette; Huang, Yu-tin Cambridge University Press https://doi.org/10.1017/CBO9781107706620	book	January 2015
Amplitudes and spinor-helicity in six dimensions Cheung, Clifford; O'Connell, Donal Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/075	journal	July 2009
The SAGEX review on scattering amplitudes* Travaglini, Gabriele; Brandhuber, Andreas; Dorey, Patrick Journal of Physics A: Mathematical and Theoretical, Vol. 55, Issue 44 https://doi.org/10.1088/1751-8121/ac8380	journal	November 2022
Photons and Gravitons in S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass Weinberg, Steven Physical Review, Vol. 135, Issue 4B https://doi.org/10.1103/PhysRev.135.B1049	journal	August 1964
All Possible Symmetries of the S Matrix Coleman, Sidney; Mandula, Jeffrey Physical Review, Vol. 159, Issue 5 https://doi.org/10.1103/PhysRev.159.1251	journal	July 1967
Double copy of electric-magnetic duality Huang, Yu-tin; Kol, Uri; O’Connell, Donal Physical Review D, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevD.102.046005	journal	August 2020
Rotating metrics and new multipole moments from scattering amplitudes in arbitrary dimensions Gambino, Claudio; Pani, Paolo; Riccioni, Fabio Physical Review D, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevD.109.124018	journal	June 2024
Amplitude for n -Gluon Scattering Parke, Stephen J.; Taylor, T. R. Physical Review Letters, Vol. 56, Issue 23 https://doi.org/10.1103/PhysRevLett.56.2459	journal	June 1986
Constructing Compact Ansätze for Scattering Amplitudes De Laurentis, Giuseppe; Page, Ben Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022) https://doi.org/10.22323/1.416.0038	conference	October 2022
Janis–Newman Algorithm: Generating Rotating and NUT Charged Black Holes Erbin, Harold Universe, Vol. 3, Issue 1 https://doi.org/10.3390/universe3010019	journal	March 2017

Similar Records

Spinor-helicity formalism for massive and massless amplitudes in five dimensions

Journal Article · Thu Feb 02 19:00:00 EST 2023 · Journal of High Energy Physics (Online) · OSTI ID:2417787

Scattering amplitudes for all masses and spins

Journal Article · Tue Nov 09 19:00:00 EST 2021 · Journal of High Energy Physics (Online) · OSTI ID:1976579

Related Subjects

Field Theories in Higher Dimensions
Scattering Amplitudes
field theories in higher dimensions
scattering amplitudes

Five-dimensional spinor helicity for all masses and spins

Citation Formats

References (30)

Similar Records

Related Subjects