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Abstract:

We compute the four-point amplitude in 3d N=8 SYM at two loops, by solving the three dimensional scalar doublebox in dimensional regularization. We compare it to the same result in the ABJM theory, to which maximal SYM should flow in the infrared at strong coupling. After proper rescalings, we find that the two amplitudes coincide in the Regge limit. © 2013 SISSA, Trieste, Italy.

Registro:

Documento: Artículo
Título:N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
Autor:Bianchi, M.S.; Leoni, M.
Filiación:Departamento de Física, Universidad de Oviedo, 33007 Oviedo, Spain
Physics Department, FCEyN-UBA, IFIBA-CONICET Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:Extended Supersymmetry; Field Theories in Lower Dimensions; Scattering Amplitudes
Año:2013
Volumen:2013
Número:3
DOI: http://dx.doi.org/10.1007/JHEP03(2013)101
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n3_p_Bianchi

Referencias:

  • Aharony, O., Bergman, O., Jafferis, D.L., Maldacena, J., N = 6 superconformal Chern-Simons-matter theories, M 2-branes and their gravity duals (2008) JHEP, 10, p. 091. , 2452954 2008JHEP.10.091A 10.1088/1126-6708/2008/10/091 [arXiv:0806.1218] [INSPIRE]
  • Aharony, O., Bergman, O., Jafferis, D.L., Fractional M 2-branes (2008) JHEP, 11, p. 043. , 2460990 2008JHEP.11.043A 10.1088/1126-6708/2008/11/043 [arXiv:0807.4924] [INSPIRE]
  • Agarwal, A., Beisert, N., McLoughlin, T., Scattering in mass-deformed N ≥ 4 Chern-Simons models (2009) JHEP, 6, p. 045. , 2534710 2009JHEP.06.045A 10.1088/1126-6708/2009/06/045 [arXiv:0812.3367] [INSPIRE]
  • Bargheer, T., Loebbert, F., Meneghelli, C., Symmetries of tree-level scattering amplitudes in N = 6 superconformal Chern-Simons theory (2010) Phys. Rev. D, 82, p. 045016. , 2010PhRvD.82d5016B [arXiv:1003.6120] [INSPIRE]
  • Huang, Y.-T., Lipstein, A.E., Dual superconformal symmetry of N = 6 Chern-Simons theory (2010) JHEP, 11, p. 076. , 2795094 2010JHEP.11.076H 10.1007/JHEP11(2010)076 [arXiv:1008.0041] [INSPIRE]
  • Drummond, J., Henn, J., Korchemsky, G., Sokatchev, E., Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory (2010) Nucl. Phys., 828, p. 317. , 2576496 2010NuPhB.828.317D 10.1016/j.nuclphysb.2009.11.022 [arXiv:0807.1095] [INSPIRE]
  • Drummond, J.M., Henn, J.M., Plefka, J., Yangian symmetry of scattering amplitudes in N =4 super Yang-Mills theory (2009) JHEP, 5, p. 046. , 2511396 2009JHEP.05.046D 10.1088/1126-6708/2009/05/046 [arXiv:0902.2987] [INSPIRE]
  • Gang, D., Huang, Y.-T., Koh, E., Lee, S., Lipstein, A.E., Tree-level recursion relation and dual superconformal symmetry of the ABJM theory (2011) JHEP, 3, p. 116. , 2821096 2011JHEP.03.116G 10.1007/JHEP03(2011)116 [arXiv:1012.5032] [INSPIRE]
  • Britto, R., Cachazo, F., Feng, B., New recursion relations for tree amplitudes of gluons (2005) Nuclear Physics B, 715 (1-2), pp. 499-522. , DOI 10.1016/j.nuclphysb.2005.02.030, PII S0550321305001744
  • Britto, R., Cachazo, F., Feng, B., Witten, E., Direct proof of the tree-level scattering amplitude recursion relation in Yang-Mills theory (2005) Physical Review Letters, 94 (18), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:94, DOI 10.1103/PhysRevLett.94.181602, 181602
  • Lee, S., Yangian invariant scattering amplitudes in supersymmetric Chern-Simons theory (2010) Phys. Rev. Lett., 105, p. 151603. , 2734442 2010PhRvL.105o1603L 10.1103/PhysRevLett.105.151603 [arXiv:1007.4772] [INSPIRE]
  • Arkani-Hamed, N., Cachazo, F., Cheung, C., Kaplan, J., A duality for the S matrix (2010) JHEP, 3, p. 020. , 2653484 2010JHEP.03.020A 10.1007/JHEP03(2010)020 [arXiv:0907.5418] [INSPIRE]
  • Berkovits, N., Maldacena, J., Fermionic T-duality, dual superconformal symmetry and the amplitude/Wilson loop connection (2008) JHEP, 9, p. 062. , 2447728 2008JHEP.09.062B 10.1088/1126-6708/2008/09/062 [arXiv:0807.3196] [INSPIRE]
  • Beisert, N., Ricci, R., Tseytlin, A.A., Wolf, M., Dual superconformal symmetry from AdS5 × S5 superstring integrability (2008) Phys. Rev. D, 78, p. 126004. , 2487279 2008PhRvD.78l6004B [arXiv:0807.3228] [INSPIRE]
  • Adam, I., Dekel, A., Oz, Y., On integrable backgrounds self-dual under fermionic T-duality (2009) JHEP, 4, p. 120. , 2505909 2009JHEP.04.120A 10.1088/1126-6708/2009/04/120 [arXiv:0902.3805] [INSPIRE]
  • Grassi, P.A., Sorokin, D., Wulff, L., Simplifying superstring and D-brane actions in AdS4 × CP 3 superbackground (2009) JHEP, 8, p. 060. , 2580204 2009JHEP.08.060G 10.1088/1126-6708/2009/08/060 [arXiv:0903.5407] [INSPIRE]
  • Adam, I., Dekel, A., Oz, Y., On the fermionic T-duality of the AdS4 × CP 3 σ-model (2010) JHEP, 10, p. 110. , 2780501 2010JHEP.10.110A 10.1007/JHEP10(2010)110 [arXiv:1008.0649] [INSPIRE]
  • Bakhmatov, I., On AdS4 × CP 3 T-duality (2011) Nucl. Phys., 847, p. 38. , 2774014 2011NuPhB.847.38B 10.1016/j.nuclphysb.2011.01.020 [arXiv:1011.0985] [INSPIRE]
  • Dekel, A., Oz, Y., Self-duality of Green-Schwarz σ-models (2011) JHEP, 3, p. 117. , 2821095 2011JHEP.03.117D 10.1007/JHEP03(2011)117 [arXiv:1101.0400] [INSPIRE]
  • Bakhmatov, I., Colgain, E.O., Yavartanoo, H., Fermionic T-duality in the pp-wave limit (2011) JHEP, 10, p. 085. , 2011JHEP.10.085B 10.1007/JHEP10(2011)085 [arXiv:1109.1052] [INSPIRE]
  • Colgain, E.O., Self-duality of the D1-D5 near-horizon (2012) JHEP, 4, p. 047. , 2012JHEP.04.047C 10.1007/JHEP04(2012)047 [arXiv:1202.3416] [INSPIRE]
  • Bargheer, T., Conformal anomaly for amplitudes in N = 6 superconformal Chern-Simons theory (2012) J. Phys., 45, p. 475402. , 2993412 2012JPhA.45U5402B [arXiv:1204.4406] [INSPIRE]
  • Brandhuber, A., Travaglini, G., Wen, C., A note on amplitudes in N = 6 superconformal Chern-Simons theory (2012) JHEP, 7, p. 160. , 2967679 2012JHEP.07.160B 10.1007/JHEP07(2012)160 [arXiv:1205.6705] [INSPIRE]
  • Brandhuber, A., Travaglini, G., Wen, C., All one-loop amplitudes in N = 6 superconformal Chern-Simons theory (2012) JHEP, 10, p. 145. , 2012JHEP.10.145B 10.1007/JHEP10(2012)145 [arXiv:1207.6908] [INSPIRE]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Santambrogio, A., One loop amplitudes in ABJM (2012) JHEP, 7, p. 029. , 2967734 2012JHEP.07.029B 10.1007/JHEP07(2012)029 [arXiv:1204.4407] [INSPIRE]
  • Cachazo, F., Svrček, P., Witten, E., Gauge theory amplitudes in twistor space and holomorphic anomaly (2004) JHEP, 10, p. 077. , 2004JHEP.10.077C 10.1088/1126-6708/2004/10/077 [hep-th/0409245] [INSPIRE]
  • Chen, W.-M., Huang, Y.-T., Dualities for loop amplitudes of N = 6 Chern-Simons matter theory (2011) JHEP, 11, p. 057. , 2011JHEP.11.057C 10.1007/JHEP11(2011)057 [arXiv:1107.2710] [INSPIRE]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Santambrogio, A., Scattering amplitudes/Wilson loop duality in ABJM theory (2012) JHEP, 1, p. 056. , 2949309 2012JHEP.01.056B 10.1007/JHEP01(2012)056 [arXiv:1107.3139] [INSPIRE]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Santambrogio, A., Scattering in ABJ theories (2011) JHEP, 12, p. 073. , 2935612 2011JHEP.12.073B 10.1007/JHEP12(2011)073 [arXiv:1110.0738] [INSPIRE]
  • Drummond, J., Henn, J., Smirnov, V., Sokatchev, E., Magic identities for conformal four-point integrals (2007) JHEP, 1, p. 064. , 2285943 2007JHEP.01.064D 10.1088/1126-6708/2007/01/064 [hep-th/0607160] [INSPIRE]
  • Drummond, J., Henn, J., Korchemsky, G., Sokatchev, E., On planar gluon amplitudes/Wilson loops duality (2008) Nucl. Phys., 795, p. 52. , 2392207 2008NuPhB.795.52D 10.1016/j.nuclphysb.2007.11.007 [arXiv:0709.2368] [INSPIRE]
  • Henn, J.M., Plefka, J., Wiegandt, K., Light-like polygonal Wilson loops in 3D Chern-Simons and ABJM theory (2010) JHEP, 8, p. 032. , 2756101 2010JHEP.08.032H 10.1007/JHEP08(2010)032 [Erratum ibid. 1111 (2011) 053] [arXiv:1004.0226] [INSPIRE]
  • Bern, Z., Dixon, L.J., Smirnov, V.A., Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond (2005) Phys. Rev. D, 72, p. 085001. , 2184321 2005PhRvD.72h5001B [hep-th/0505205] [INSPIRE]
  • Bianchi, M.S., Leoni, M., Penati, S., An all order identity between ABJM and N = 4 SYM four-point amplitudes (2012) JHEP, 4, p. 045. , 2967626 2012JHEP.04.045B 10.1007/JHEP04(2012)045 [arXiv:1112.3649] [INSPIRE]
  • Caron-Huot, S., Huang, Y.-T., The Two-loop Six-point Amplitude in ABJM Theory, , arXiv:1210.4226 [ INSPIRE ]
  • Kapustin, A., Willett, B., Yaakov, I., Nonperturbative tests of three-dimensional dualities (2010) JHEP, 10, p. 013. , 2780545 2010JHEP.10.013K 10.1007/JHEP10(2010)013 [arXiv:1003.5694] [INSPIRE]
  • Bashkirov, D., Kapustin, A., Dualities between N = 8 superconformal field theories in three dimensions (2011) JHEP, 5, p. 074. , 2834550 2011JHEP.05.074B 10.1007/JHEP05(2011)074 [arXiv:1103.3548] [INSPIRE]
  • Gang, D., Koh, E., Lee, K., Park, J., ABCD of 3D N= 8 and 4 Superconformal Field Theories, , arXiv:1108.3647 [ INSPIRE ]
  • Agarwal, A., Young, D., Manifest SO(N) invariance and S-matrices of three-dimensional N =2,4,8 SYM (2011) JHEP, 5, p. 100. , 2834540 2011JHEP.05.100A 10.1007/JHEP05(2011)100 [arXiv:1103.0786] [INSPIRE]
  • Agarwal, A., Young, D., Deconstructing Supersymmetric S-matrices in D ≤ 2 + 1, , arXiv:1206.1857 [ INSPIRE ]
  • Lipstein, A.E., Mason, L., Amplitudes of 3D Yang-Mills Theory, , arXiv:1207.6176 [ INSPIRE ]
  • Caron-Huot, S., O'Connell, D., Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions (2011) JHEP, 8, p. 014. , 2876078 2011JHEP.08.014C 10.1007/JHEP08(2011)014 [arXiv:1010.5487] [INSPIRE]
  • Dennen, T., Huang, Y.-T., Dual conformal properties of six-dimensional maximal super Yang-Mills amplitudes (2011) JHEP, 1, p. 140. , 2792240 2011JHEP.01.140D 10.1007/JHEP01(2011)140 [arXiv:1010.5874] [INSPIRE]
  • Korchemsky, G., Drummond, J., Sokatchev, E., Conformal properties of four-gluon planar amplitudes and Wilson loops (2008) Nucl. Phys., 795, p. 385. , 2392215 2008NuPhB.795.385D [arXiv:0707.0243] [INSPIRE]
  • Drummond, J., Henn, J., Korchemsky, G., Sokatchev, E., Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2010) Nucl. Phys., 826, p. 337. , 2559543 2010NuPhB.826.337D 10.1016/j.nuclphysb.2009.10.013 [arXiv:0712.1223] [INSPIRE]
  • Smirnov, V.A., (2006) Feynman Integral Calculus, , Springer Berlin Germany
  • Smirnov, V.A., Evaluating Feynman integrals (2004) Springer Tracts Mod. Phys., 211, p. 1. , 10.1007/978-3-540-44703-0-1 [INSPIRE]
  • Smirnov, V.A., Analytical result for dimensionally regularized massless on shell double box (1999) Phys. Lett., 460, p. 397. , 1999PhLB.460.397S [hep-ph/9905323] [INSPIRE]
  • Czakon, M., Automatized analytic continuation of Mellin-Barnes integrals (2006) Computer Physics Communications, 175 (8), pp. 559-571. , DOI 10.1016/j.cpc.2006.07.002, PII S0010465506002657
  • Bern, Z., Rozowsky, J., Yan, B., Two loop four gluon amplitudes in N = 4 super Yang-Mills (1997) Phys. Lett., 401, p. 273. , 1997PhLB.401.273B [hep-ph/9702424] [INSPIRE]

Citas:

---------- APA ----------
Bianchi, M.S. & Leoni, M. (2013) . N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops. Journal of High Energy Physics, 2013(3).
http://dx.doi.org/10.1007/JHEP03(2013)101
---------- CHICAGO ----------
Bianchi, M.S., Leoni, M. "N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops" . Journal of High Energy Physics 2013, no. 3 (2013).
http://dx.doi.org/10.1007/JHEP03(2013)101
---------- MLA ----------
Bianchi, M.S., Leoni, M. "N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops" . Journal of High Energy Physics, vol. 2013, no. 3, 2013.
http://dx.doi.org/10.1007/JHEP03(2013)101
---------- VANCOUVER ----------
Bianchi, M.S., Leoni, M. N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops. J. High Energy Phys. 2013;2013(3).
http://dx.doi.org/10.1007/JHEP03(2013)101