Unifying relations for scattering amplitudes

Cheung, Clifford; Shen, Chia-Hsien; Wen, Congkao

doi:10.1007/jhep02(2018)095

Title: Unifying relations for scattering amplitudes

Journal Article · Thu Feb 15 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep02(2018)095· OSTI ID:1501900

Cheung, Clifford ^[1]; Shen, Chia-Hsien ^[2]; Wen, Congkao ^[3]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Thoretical Physics
California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Thoretical Physics

We derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering amplitudes into new ones. By transmuting the amplitudes of gravity coupled to a dilaton and two-form, we generate all the amplitudes of Einstein-Yang-Mills theory, Dirac-Born-Infield theory, special Galileon, nonlinear sigma model, and biadjoint scalar theory. Transmutation also relates amplitudes in string theory and its variants. As a corollary, celebrated aspects of gluon and graviton scattering like color-kinematics duality, the KLT relations, and the CHY construction are inherited traits of the transmuted amplitudes. With this being said, transmutation recasts the Adler zero as a trivial consequence of the Weinberg soft theorem and implies new subleading soft theorems for certain scalar theories.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010255

OSTI ID:: 1501900

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 2; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 76 works

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References (40)

Recursion relations from soft theorems Luo, Hui; Wen, Congkao Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)088	journal	March 2016
A relation between tree amplitudes of closed and open strings Kawai, H.; Lewellen, D. C.; Tye, S. -H. H. Nuclear Physics B, Vol. 269, Issue 1 https://doi.org/10.1016/0550-3213(86)90362-7	journal	May 1986
Complete N-point superstring disk amplitude II. Amplitude and hypergeometric function structure Mafra, Carlos R.; Schlotterer, Oliver; Stieberger, Stephan Nuclear Physics B, Vol. 873, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.04.022	journal	August 2013
Symmetry for Flavor-Kinematics Duality from an Action Cheung, Clifford; Shen, Chia-Hsien Physical Review Letters, Vol. 118, Issue 12 https://doi.org/10.1103/PhysRevLett.118.121601	journal	March 2017
Semi-abelian Z-theory: NLSM+ϕ 3 from the open string Carrasco, John Joseph M.; Mafra, Carlos R.; Schlotterer, Oliver Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)135	journal	August 2017
2D Stress Tensor for 4D Gravity Kapec, Daniel; Mitra, Prahar; Raclariu, Ana-Maria Physical Review Letters, Vol. 119, Issue 12 https://doi.org/10.1103/PhysRevLett.119.121601	journal	September 2017
Complete N-point superstring disk amplitude I. Pure spinor computation Mafra, Carlos R.; Schlotterer, Oliver; Stieberger, Stephan Nuclear Physics B, Vol. 873, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.04.023	journal	August 2013
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
Sub-sub-leading soft-graviton theorem in arbitrary dimension Zlotnikov, Michael Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)148	journal	October 2014
Single-Valued Motivic Periods and Multiple zeta Values Brown, Francis Forum of Mathematics, Sigma, Vol. 2 https://doi.org/10.1017/fms.2014.18	journal	April 2014
Scattering of Massless Particles in Arbitrary Dimensions Cachazo, Freddy; He, Song; Yuan, Ellis Ye Physical Review Letters, Vol. 113, Issue 17 https://doi.org/10.1103/PhysRevLett.113.171601	journal	October 2014
New recursion relations for tree amplitudes of gluons Britto, Ruth; Cachazo, Freddy; Feng, Bo Nuclear Physics B, Vol. 715, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.02.030	journal	May 2005
Simple recursion relations for general field theories Cheung, Clifford; Shen, Chia-Hsien; Trnka, Jaroslav Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)118	journal	June 2015
On-Shell Recursion Relations for Effective Field Theories Cheung, Clifford; Kampf, Karol; Novotny, Jiri Physical Review Letters, Vol. 116, Issue 4 https://doi.org/10.1103/PhysRevLett.116.041601	journal	January 2016
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM Cachazo, Freddy; He, Song; Yuan, Ellis Ye Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)149	journal	July 2015
Next to subleading soft-graviton theorem in arbitrary dimensions Kalousios, Chrysostomos; Rojas, Francisco Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)107	journal	January 2015
Closed string amplitudes as single-valued open string amplitudes Stieberger, Stephan; Taylor, Tomasz R. Nuclear Physics B, Vol. 881 https://doi.org/10.1016/j.nuclphysb.2014.02.005	journal	April 2014
4D scattering amplitudes and asymptotic symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)112	journal	January 2017
A periodic table of effective field theories Cheung, Clifford; Kampf, Karol; Novotny, Jiri Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)020	journal	February 2017
Scattering of massless particles: scalars, gluons and gravitons Cachazo, Freddy; He, Song; Yuan, Ellis Ye Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)033	journal	July 2014
Subsubleading soft theorems of gravitons and dilatons in the bosonic string Di Vecchia, Paolo; Marotta, Raffaele; Mojaza, Matin Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)054	journal	June 2016
Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string Di Vecchia, Paolo; Marotta, Raffaele; Mojaza, Matin Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)137	journal	May 2015
Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations Schwab, Burkhard U. W.; Volovich, Anastasia Physical Review Letters, Vol. 113, Issue 10 https://doi.org/10.1103/PhysRevLett.113.101601	journal	September 2014
Infrared Photons and Gravitons Weinberg, Steven Physical Review, Vol. 140, Issue 2B https://doi.org/10.1103/PhysRev.140.B516	journal	October 1965
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
Extensions of theories from soft limits Cachazo, Freddy; Cha, Peter; Mizera, Sebastian Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)170	journal	June 2016
Effective Field Theories from Soft Limits of Scattering Amplitudes Cheung, Clifford; Kampf, Karol; Novotny, Jiri Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.221602	journal	June 2015
On-shell constructibility of tree amplitudes in general field theories Cohen, Timothy; Elvang, Henriette; Kiermaier, Michael Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)053	journal	April 2011
Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory Britto, Ruth; Cachazo, Freddy; Feng, Bo Physical Review Letters, Vol. 94, Issue 18 https://doi.org/10.1103/PhysRevLett.94.181602	journal	May 2005
Polylogarithms, multiple zeta values and superstring amplitudes Broedel, J.; Schlotterer, O.; Stieberger, S. Fortschritte der Physik, Vol. 61, Issue 9 https://doi.org/10.1002/prop.201300019	journal	August 2013
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current Adler, Stephen L. Physical Review, Vol. 137, Issue 4B https://doi.org/10.1103/PhysRev.137.B1022	journal	February 1965
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current Adler, Stephen L. Physical Review, Vol. 139, Issue 7AB https://doi.org/10.1103/physrev.139.ab2.2	journal	September 1965
On-shell constructibility of tree amplitudes in general field theories Cohen, Timothy; Elvang, Henriette; Kiermaier, Michael arXiv https://doi.org/10.48550/arxiv.1010.0257	text	January 2010
Polylogarithms, Multiple Zeta Values and Superstring Amplitudes Broedel, Johannes; Schlotterer, Oliver; Stieberger, Stephan arXiv https://doi.org/10.48550/arxiv.1304.7267	text	January 2013
Closed String Amplitudes as Single-Valued Open String Amplitudes Stieberger, Stephan; Taylor, Tomasz R. arXiv https://doi.org/10.48550/arxiv.1401.1218	text	January 2014
Subleading soft theorem in arbitrary dimension from scattering equations Schwab, Burkhard U. W.; Volovich, Anastasia arXiv https://doi.org/10.48550/arxiv.1404.7749	text	January 2014
Subsubleading soft theorems of gravitons and dilatons in the bosonic string Di Vecchia, Paolo; Marotta, Raffaele; Mojaza, Matin arXiv https://doi.org/10.48550/arxiv.1604.03355	text	January 2016
4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman arXiv https://doi.org/10.48550/arxiv.1609.00732	text	January 2016
New Recursion Relations for Tree Amplitudes of Gluons Britto, Ruth; Cachazo, Freddy; Feng, Bo arXiv https://doi.org/10.48550/arxiv.hep-th/0412308	text	January 2004
Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator Stieberger, S. Journal of Physics A: Mathematical and Theoretical, Vol. 47, Issue 15 https://doi.org/10.1088/1751-8113/47/15/155401	journal	March 2014

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