Celestial soft currents at one-loop and their OPEs

Bhardwaj, Rishabh; Yelleshpur Srikant, Akshay

doi:10.1007/JHEP07(2024)034

Celestial soft currents at one-loop and their OPEs

Journal Article · Thu Jul 04 00:00:00 EDT 2024 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2024)034· OSTI ID:2570453

^[1]; ^[2]

Brown Univ., Providence, RI (United States)
Univ. of Oxford (United Kingdom)

Conformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level. In this paper, focusing our attention to Yang-Mills theory, we introduce new operators in the boundary celestial CFT in order to extend the definition of conformally soft currents to include one-loop effects. We then compute their OPEs with other operators in the theory. We also examine new subtleties that arise in defining OPEs of two conformally soft operators. We elucidate the connection between the new operators and loop corrected soft theorems in the bulk. Finally, we conclude by demonstrating how these operators fit into the framework of a logarithmic CFT.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0010010

OSTI ID:: 2570453

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (63)

Conformally soft photons and gravitons Donnay, Laura; Puhm, Andrea; Strominger, Andrew Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)184	journal	January 2019
Celestial operator product expansions and w1+∞ symmetry for all spins Himwich, E.; Pate, M.; Singh, K. Journal of High Energy Physics, Vol. 2022, Issue 1 https://doi.org/10.1007/JHEP01(2022)080	journal	January 2022
Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes Nastase, Horatiu; Rojas, Francisco; Rubio, Carlos Journal of High Energy Physics, Vol. 2022, Issue 1 https://doi.org/10.1007/JHEP01(2022)136	journal	January 2022
A comment on loop corrections to the celestial stress tensor Pasterski, Sabrina Journal of High Energy Physics, Vol. 2023, Issue 1 https://doi.org/10.1007/JHEP01(2023)025	journal	January 2023
Celestial locality and the Jacobi identity Ball, Adam Journal of High Energy Physics, Vol. 2023, Issue 1 https://doi.org/10.1007/JHEP01(2023)146	journal	January 2023
Classical and quantum results on logarithmic terms in the soft theorem in four dimensions Sahoo, Biswajit; Sen, Ashoke Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)086	journal	February 2019
Celestial gluon and graviton OPE at loop level Krishna, Hare Journal of High Energy Physics, Vol. 2024, Issue 3 https://doi.org/10.1007/JHEP03(2024)176	journal	March 2024
Supersymmetry and the celestial Jacobi identity Ball, Adam; Spradlin, Marcus; Srikant, Akshay Yelleshpur Journal of High Energy Physics, Vol. 2024, Issue 4 https://doi.org/10.1007/JHEP04(2024)099	journal	April 2024
Conformal blocks from celestial gluon amplitudes Fan, Wei; Fotopoulos, Angelos; Stieberger, Stephan Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)170	journal	May 2021
Non-abelian infrared divergences on the celestial sphere Magnea, Lorenzo Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)282	journal	May 2021
The structure of IR divergences in celestial gluon amplitudes González, Hernán A.; Rojas, Francisco Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)171	journal	June 2021
Celestial Supersymmetry Taylor, Tomasz R.; Zhu, Bin Journal of High Energy Physics, Vol. 2023, Issue 6 https://doi.org/10.1007/JHEP06(2023)210	journal	June 2023
Four-point correlators of light-ray operators in CCFT Hu, Yangrui; Lippstreu, Luke; Spradlin, Marcus Journal of High Energy Physics, Vol. 2022, Issue 7 https://doi.org/10.1007/JHEP07(2022)104	journal	July 2022
Symmetries in Celestial CFTd Pano, Yorgo; Puhm, Andrea; Trevisani, Emilio Journal of High Energy Physics, Vol. 2023, Issue 7 https://doi.org/10.1007/JHEP07(2023)076	journal	July 2023
Soft sub-leading divergences in Yang-Mills amplitudes Casali, Eduardo Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)077	journal	August 2014
Loop-corrected Virasoro symmetry of 4D quantum gravity He, T.; Kapec, D.; Raclariu, A. Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)050	journal	August 2017
Conformally soft theorem in gravity Puhm, Andrea Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)130	journal	September 2020
Loop-corrected subleading soft theorem and the celestial stress tensor Donnay, Laura; Nguyen, Kevin; Ruzziconi, Romain Journal of High Energy Physics, Vol. 2022, Issue 9 https://doi.org/10.1007/JHEP09(2022)063	journal	September 2022
The ABC (in any D) of logarithmic CFT Hogervorst, Matthijs; Paulos, Miguel; Vichi, Alessandro Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)201	journal	October 2017
Celestial amplitudes: conformal partial waves and soft limits Nandan, Dhritiman; Schreiber, Anders; Volovich, Anastasia Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)018	journal	October 2019
Correlators of four light-ray operators in CCFT De, Shounak; Hu, Yangrui; Srikant, Akshay Yelleshpur Journal of High Energy Physics, Vol. 2022, Issue 10 https://doi.org/10.1007/JHEP10(2022)170	journal	October 2022
Burns space and holography Costello, Kevin; Paquette, Natalie M.; Sharma, Atul Journal of High Energy Physics, Vol. 2023, Issue 10 https://doi.org/10.1007/JHEP10(2023)174	journal	October 2023
Celestial diamonds: conformal multiplets in celestial CFT Pasterski, Sabrina; Puhm, Andrea; Trevisani, Emilio Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)072	journal	November 2021
Revisiting the conformally soft sector with celestial diamonds Pasterski, Sabrina; Puhm, Andrea; Trevisani, Emilio Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)143	journal	November 2021
Holographic symmetry algebras for gauge theory and gravity Guevara, A.; Himwich, E.; Pate, M. Journal of High Energy Physics, Vol. 2021, Issue 11 https://doi.org/10.1007/JHEP11(2021)152	journal	November 2021
Loop-level gluon OPEs in celestial holography Bhardwaj, Rishabh; Lippstreu, Luke; Ren, Lecheng Journal of High Energy Physics, Vol. 2022, Issue 11 https://doi.org/10.1007/JHEP11(2022)171	journal	November 2022
Universality of loop corrected soft theorems in 4d Krishna, Hare; Sahoo, Biswajit Journal of High Energy Physics, Vol. 2023, Issue 11 https://doi.org/10.1007/JHEP11(2023)233	journal	November 2023
Loop corrections to soft theorems in gauge theories and gravity He, Song; Huang, Yu-tin; Wen, Congkao Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)115	journal	December 2014
On Conformal Jordan Cells of Finite and Infinite Rank Rasmussen, Jørgen Letters in Mathematical Physics, Vol. 73, Issue 2 https://doi.org/10.1007/s11005-005-0001-2	journal	August 2005
Multi-parton amplitudes in gauge theories Mangano, Michelangelo L.; Parke, Stephen J. Physics Reports, Vol. 200, Issue 6 https://doi.org/10.1016/0370-1573(91)90091-Y	journal	February 1991
Recursive calculations for processes with n gluons Berends, F. A.; Giele, W. T. Nuclear Physics B, Vol. 306, Issue 4 https://doi.org/10.1016/0550-3213(88)90442-7	journal	September 1988
Logarithmic operators in conformal field theory Gurarie, V. Nuclear Physics B, Vol. 410, Issue 3 https://doi.org/10.1016/0550-3213(93)90528-W	journal	December 1993
One-loop n-point gauge theory amplitudes, unitarity and collinear limits Bern, Zvi; Dixon, Lance; Dunbar, David C. Nuclear Physics B, Vol. 425, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90179-1	journal	August 1994
Factorization in one-loop gauge theory Bern, Zvi; Chalmers, Gordon Nuclear Physics B, Vol. 447, Issue 2-3 https://doi.org/10.1016/0550-3213(95)00226-I	journal	August 1995
The infrared behavior of one-loop gluon amplitudes at next-to-next-to-leading order Bern, Zvi; Del Duca, Vittorio; Schmidt, Carl R. Physics Letters B, Vol. 445, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)01495-6	journal	December 1998
Singletons and logarithmic CFT in ADS/CFT correspondence Kogan, Ian I. Physics Letters B, Vol. 458, Issue 1 https://doi.org/10.1016/S0370-2693(99)00576-6	journal	July 1999
The operator product expansion of SYM and the 4-point functions of supergravity D'Hoker, Eric; Mathur, Samir D.; Matusis, Alec Nuclear Physics B, Vol. 589, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00523-X	journal	November 2000
All-order collinear behavior in gauge theories Kosower, David A. Nuclear Physics B, Vol. 552, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00251-5	journal	July 1999
One-loop splitting amplitudes in gauge theory Kosower, David A.; Uwer, Peter Nuclear Physics B, Vol. 563, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00583-0	journal	December 1999
New color decompositions for gauge amplitudes at tree and loop level Del Duca, Vittorio; Dixon, Lance; Maltoni, Fabio Nuclear Physics B, Vol. 571, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00809-3	journal	April 2000
Celestial Liouville theory for Yang-Mills amplitudes Stieberger, Stephan; Taylor, Tomasz R.; Zhu, Bin Physics Letters B, Vol. 836 https://doi.org/10.1016/j.physletb.2022.137588	journal	January 2023
Yang-Mills as a Liouville theory Stieberger, Stephan; Taylor, Tomasz R.; Zhu, Bin Physics Letters B, Vol. 846 https://doi.org/10.1016/j.physletb.2023.138229	journal	November 2023
Two-Loop g gg Splitting Amplitudes in QCD Bern, Zvi; Dixon, Lance; Kosower, David Journal of High Energy Physics, Vol. 2004, Issue 08 https://doi.org/10.1088/1126-6708/2004/08/012	journal	August 2004
Logarithmic conformal field theories as limits of ordinary CFTs and some physical applications Cardy, John Journal of Physics A: Mathematical and Theoretical, Vol. 46, Issue 49 https://doi.org/10.1088/1751-8113/46/49/494001	journal	November 2013
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
Conformally soft theorem in gauge theory Pate, Monica; Raclariu, Ana-Maria; Strominger, Andrew Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/PhysRevD.100.085017	journal	October 2019
Loop corrections to celestial amplitudes González, Hernán A.; Puhm, Andrea; Rojas, Francisco Physical Review D, Vol. 102, Issue 12 https://doi.org/10.1103/PhysRevD.102.126027	journal	December 2020
Conformal block expansion in celestial CFT Atanasov, Alexander; Melton, Walker; Raclariu, Ana-Maria Physical Review D, Vol. 104, Issue 12 https://doi.org/10.1103/PhysRevD.104.126033	journal	December 2021
Logarithmic celestial conformal field theory Fiorucci, Adrien; Grumiller, Daniel; Ruzziconi, Romain Physical Review D, Vol. 109, Issue 2 https://doi.org/10.1103/PhysRevD.109.L021902	journal	January 2024
Infrared behavior of one-loop QCD amplitudes at next-to-next-to-leading order Bern, Zvi; Del Duca, Vittorio; Kilgore, William B. Physical Review D, Vol. 60, Issue 11 https://doi.org/10.1103/PhysRevD.60.116001	journal	October 1999
Leading singularities of the two-loop six-particle maximally helicity violating amplitude Cachazo, Freddy; Spradlin, Marcus; Volovich, Anastasia Physical Review D, Vol. 78, Issue 10 https://doi.org/10.1103/PhysRevD.78.105022	journal	November 2008
Collinear and soft divergences in perturbative quantum gravity Akhoury, Ratindranath; Saotome, Ryo; Sterman, George Physical Review D, Vol. 84, Issue 10 https://doi.org/10.1103/PhysRevD.84.104040	journal	November 2011
On loop corrections to subleading soft behavior of gluons and gravitons Bern, Zvi; Davies, Scott; Nohle, Josh Physical Review D, Vol. 90, Issue 8 https://doi.org/10.1103/PhysRevD.90.085015	journal	October 2014
More on soft theorems: Trees, loops, and strings Bianchi, Massimo; He, Song; Huang, Yu-tin Physical Review D, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevD.92.065022	journal	September 2015
Conformal basis for flat space amplitudes Pasterski, Sabrina; Shao, Shu-Heng Physical Review D, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevD.96.065022	journal	September 2017
Gluon amplitudes as 2 d conformal correlators Pasterski, Sabrina; Shao, Shu-Heng; Strominger, Andrew Physical Review D, Vol. 96, Issue 8 https://doi.org/10.1103/PhysRevD.96.085006	journal	October 2017
Soft Photon and Graviton Theorems in Effective Field Theory Elvang, Henriette; Jones, Callum R. T.; Naculich, Stephen G. Physical Review Letters, Vol. 118, Issue 23 https://doi.org/10.1103/PhysRevLett.118.231601	journal	June 2017
w1+∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries Strominger, Andrew Physical Review Letters, Vol. 127, Issue 22 https://doi.org/10.1103/PhysRevLett.127.221601	journal	November 2021
Top-Down Holography in an Asymptotically Flat Spacetime Costello, Kevin; Paquette, Natalie M.; Sharma, Atul Physical Review Letters, Vol. 130, Issue 6 https://doi.org/10.1103/PhysRevLett.130.061602	journal	February 2023
Celestial operator products of gluons and gravitons Pate, M.; Raclariu, A. -M.; Strominger, A. Reviews in Mathematical Physics, Vol. 33, Issue 09 https://doi.org/10.1142/S0129055X21400031	journal	July 2021
Bits and Pieces in Logarithmic Conformal Field Theory Flohr, Michael A. I. International Journal of Modern Physics A, Vol. 18, Issue 25 https://doi.org/10.1142/S0217751X03016859	journal	October 2003
Progress in One-Loop qcd Computations Bern, Zvi; Dixon, Lance; Kosower, David A. Annual Review of Nuclear and Particle Science, Vol. 46, Issue 1 https://doi.org/10.1146/annurev.nucl.46.1.109	journal	December 1996
Logarithmic CFT at generic central charge: from Liouville theory to the $Q$-state Potts model Nivesvivat, Rongvoram; Ribault, Sylvain SciPost Physics, Vol. 10, Issue 1 https://doi.org/10.21468/SciPostPhys.10.1.021	journal	January 2021

Similar Records

Loop-level gluon OPEs in celestial holography

Journal Article · Tue Nov 29 19:00:00 EST 2022 · Journal of High Energy Physics (Online) · OSTI ID:1907735

All-order celestial OPE from on-shell recursion

Journal Article · Thu Oct 12 20:00:00 EDT 2023 · Journal of High Energy Physics (Online) · OSTI ID:2339477

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
conformal and W symmetry
gauge-gravity correspondence
global symmetries
scattering amplitudes

Celestial soft currents at one-loop and their OPEs

Citation Formats

References (63)

Similar Records

Related Subjects