Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Abstract: We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality. © 2014, The Author(s).

Registro:

Documento: Artículo
Título:On the ABJM four-point amplitude at three loops and BDS exponentiation
Autor:Bianchi, M.S.; Leoni, M.
Filiación:Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, Berlin, 12489, Germany
Physics Department, FCEyN-UBA & IFIBA-CONICET Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Instituto de Física de La Plata, CONICET, UNLP C.C. 67, La Plata, 1900, Argentina
Palabras clave:Chern-Simons Theories; Scattering Amplitudes; Supersymmetric gauge theory; Materials science; Nanostructured materials; Chern-Simons theory; Dimensional regularization; Exponentiations; Gauge theory; Invariant integral; Polylogarithms; Scattering amplitudes; Two particles; Conformal mapping
Año:2014
Volumen:2014
Número:11
DOI: http://dx.doi.org/10.1007/JHEP11(2014)077
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_v2014_n11_p_Bianchi

Referencias:

  • Aharony, O., Bergman, O., Jafferis, D.L., Maldacena, J., N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008) JHEP, 10, p. 091. , [ arXiv:0806.1218 ] [ 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. , [ arXiv:1003.6120 ] [ INSPIRE ]
  • Huang, Y.-T., Lipstein, A.E., Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space (2010) JHEP, 10, p. 007. , [ arXiv:1004.4735 ] [ INSPIRE ]
  • Drummond, J.M., Henn, J., Korchemsky, G.P., Sokatchev, E., Hexagon Wilson loop = six-gluon MHV amplitude (2009) Nucl. Phys., B 815, p. 142. , [ arXiv:0803.1466 ] [ 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. , [ arXiv:0902.2987 ] [ INSPIRE ]
  • Arkani-Hamed, N., Cachazo, F., Cheung, C., Kaplan, J., A Duality For The S Matrix (2010) JHEP, 3, p. 020. , [ arXiv:0907.5418 ] [ INSPIRE ]
  • Arkani-Hamed, N., Bourjaily, J.L., Cachazo, F., Caron-Huot, S., Trnka, J., The All-Loop Integrand For Scattering Amplitudes in Planar N =4 SYM (2011) JHEP, 1, p. 041. , [ arXiv:1008.2958 ] [ INSPIRE ]
  • Lee, S., Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory (2010) Phys. Rev. Lett., 105, p. 151603. , [ arXiv:1007.4772 ] [ INSPIRE ]
  • Huang, Y.-T., Wen, C., ABJM amplitudes and the positive orthogonal grassmannian (2014) JHEP, 2, p. 104. , [ arXiv:1309.3252 ] [ INSPIRE ]
  • Alday, L.F., Maldacena, J.M., Gluon scattering amplitudes at strong coupling (2007) JHEP, 6, p. 064. , [ arXiv:0705.0303 ] [ INSPIRE ]
  • Berkovits, N., Maldacena, J., Fermionic T-duality, Dual Superconformal Symmetry and the Amplitude/Wilson Loop Connection (2008) JHEP, 9, p. 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. , [ arXiv:0807.3228 ] [ INSPIRE ]
  • Bargheer, T., Beisert, N., Loebbert, F., McLoughlin, T., Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory (2012) J. Phys., A 45, p. 475402. , [ arXiv:1204.4406 ] [ INSPIRE ]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Santambrogio, A., One Loop Amplitudes In ABJM (2012) JHEP, 7, p. 029. , [ arXiv:1204.4407 ] [ INSPIRE ]
  • Drummond, J.M., Henn, J., Smirnov, V.A., Sokatchev, E., Magic identities for conformal four-point integrals (2007) JHEP, 1, p. 064. , [ hep-th/0607160 ] [ INSPIRE ]
  • Chen, W.-M., Huang, Y.-T., Dualities for Loop Amplitudes of N =6 Chern-Simons Matter Theory (2011) JHEP, 11, p. 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. , [ arXiv:1107.3139 ] [ INSPIRE ]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Santambrogio, A., Scattering in ABJ theories (2011) JHEP, 12, p. 073. , [ arXiv:1110.0738 ] [ INSPIRE ]
  • Agarwal, A., Beisert, N., McLoughlin, T., Scattering in Mass-Deformed N > = 4 Chern-Simons Models (2009) JHEP, 6, p. 045. , [ arXiv:0812.3367 ] [ INSPIRE ]
  • Henn, J.M., Plefka, J., Wiegandt, K., (2010) Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory, , INSPIRE, JHEP 08 (2010) 032 [Erratum ibid. 1111 (2011) 053] [] []
  • Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., Light-like Wilson loops in ABJM and maximal transcendentality (2013) JHEP, 8, p. 111. , [ arXiv:1304.6085 ] [ INSPIRE ]
  • Drummond, J.M., Henn, J., Korchemsky, G.P., Sokatchev, E., On planar gluon amplitudes/Wilson loops duality (2008) Nucl. Phys., B 795, p. 52. , [ arXiv:0709.2368 ] [ INSPIRE ]
  • Drummond, J.M., Henn, J., Korchemsky, G.P., Sokatchev, E., Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2010) Nucl. Phys., B 826, p. 337. , [ arXiv:0712.1223 ] [ INSPIRE ]
  • Brandhuber, A., Heslop, P., Travaglini, G., MHV amplitudes in N =4 super Yang-Mills and Wilson loops (2008) Nucl. Phys., B 794, p. 231. , [ arXiv:0707.1153 ] [ INSPIRE ]
  • Drummond, J.M., Korchemsky, G.P., Sokatchev, E., Conformal properties of four-gluon planar amplitudes and Wilson loops (2008) Nucl. Phys., B 795, p. 385. , [ arXiv:0707.0243 ] [ 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. , [ arXiv:1112.3649 ] [ INSPIRE ]
  • Anastasiou, C., Bern, Z., Dixon, L.J., Kosower, D.A., Planar amplitudes in maximally supersymmetric Yang-Mills theory (2003) Phys. Rev. Lett., 91, p. 251602. , [ hep-th/0309040 ] [ 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. , [ hep-th/0505205 ] [ INSPIRE ]
  • Brandhuber, A., Travaglini, G., Wen, C., A note on amplitudes in N =6 superconformal Chern-Simons theory (2012) JHEP, 7, p. 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. , [ arXiv:1207.6908 ] [ INSPIRE ]
  • Caron-Huot, S., Huang, Y.-T., The two-loop six-point amplitude in ABJM theory (2013) JHEP, 3, p. 075. , [ arXiv:1210.4226 ] [ INSPIRE ]
  • Caron-Huot, S., Notes on the scattering amplitude/Wilson loop duality (2011) JHEP, 7, p. 058. , [ arXiv:1010.1167 ] [ INSPIRE ]
  • Rosso, M., Vergu, C., Wilson loops in N =6 superspace for ABJM theory (2014) JHEP, 6, p. 176. , [ arXiv:1403.2336 ] [ INSPIRE ]
  • Bianchi, M.S., Leoni, M., Mauri, A., Penati, S., Ratti, C., From Correlators to Wilson Loops in Chern-Simons Matter Theories (2011) JHEP, 6, p. 118. , [ arXiv:1103.3675 ] [ INSPIRE ]
  • Bianchi, M.S., Leoni, M., Leoni, M., Mauri, A., Penati, S., ABJM amplitudes and WL at finite N (2013) JHEP, 9, p. 114. , [ arXiv:1306.3243 ] [ INSPIRE ]
  • Bianchi, L., Bianchi, M.S., Non-planarity through unitarity in ABJM (2014) Phys. Rev., D 89, p. 125002. , [ arXiv:1311.6464 ] [ INSPIRE ]
  • Huang, Y., Wen, C., Xie, D., The Positive orthogonal Grassmannian and loop amplitudes of ABJM, , INSPIRE
  • Arkani-Hamed, N., Bourjaily, J.L., Cachazo, F., Goncharov, A.B., Postnikov, A., Scattering Amplitudes and the Positive Grassmannian, , INSPIRE
  • Brandhuber, A., Heslop, P., Travaglini, G., A Note on dual superconformal symmetry of the N =4 super Yang-Mills S-matrix (2008) Phys. Rev., D 78, p. 125005. , [ arXiv:0807.4097 ] [ 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. , [ arXiv:1012.5032 ] [ INSPIRE ]
  • Britto, R., Cachazo, F., Feng, B., New recursion relations for tree amplitudes of gluons (2005) Nucl. Phys., B 715, p. 499. , [ hep-th/0412308 ] [ INSPIRE ]
  • Britto, R., Cachazo, F., Feng, B., Witten, E., Direct proof of tree-level recursion relation in Yang-Mills theory (2005) Phys. Rev. Lett., 94, p. 181602. , [ hep-th/0501052 ] [ INSPIRE ]
  • Adam, I., Dekel, A., Oz, Y., On Integrable Backgrounds Self-dual under Fermionic T-duality (2009) JHEP, 4, p. 120. , [ arXiv:0902.3805 ] [ INSPIRE ]
  • Adam, I., Dekel, A., Oz, Y., On the fermionic T-duality of the AdS4 × CP3 σ-model (2010) JHEP, 10, p. 110. , [ arXiv:1008.0649 ] [ INSPIRE ]
  • Dekel, A., Oz, Y., Self-Duality of Green-Schwarz σ-models (2011) JHEP, 3, p. 117. , [ arXiv:1101.0400 ] [ INSPIRE ]
  • Bakhmatov, I., On AdS4 × CP3 T-duality (2011) Nucl. Phys., B 847, p. 38. , [ arXiv:1011.0985 ] [ INSPIRE ]
  • Bakhmatov, I., Colgain, E.O., Yavartanoo, H., Fermionic T-duality in the pp-wave limit (2011) JHEP, 10, p. 085. , [ arXiv:1109.1052 ] [ INSPIRE ]
  • Colgain, E.O., Fermionic T-duality: A snapshot review (2012) Int. J. Mod. Phys., A 27, p. 1230032. , [ arXiv:1210.5588 ] [ INSPIRE ]
  • Bern, Z., Dixon, L.J., Dunbar, D.C., Kosower, D.A., One loop n point gauge theory amplitudes, unitarity and collinear limits (1994) Nucl. Phys., B 425, p. 217. , [ hep-ph/9403226 ] [ INSPIRE ]
  • Bern, Z., Dixon, L.J., Dunbar, D.C., Kosower, D.A., Fusing gauge theory tree amplitudes into loop amplitudes (1995) Nucl. Phys., B 435, p. 59. , [ hep-ph/9409265 ] [ INSPIRE ]
  • Britto, R., Cachazo, F., Feng, B., Generalized unitarity and one-loop amplitudes in N =4 super-Yang-Mills (2005) Nucl. Phys., B 725, p. 275. , [ hep-th/0412103 ] [ INSPIRE ]
  • Brandhuber, A., Gürdoğan, O., Korres, D., Mooney, R., Travaglini, G., Two-loop Sudakov Form Factor in ABJM (2013) JHEP, 11, p. 022. , [ arXiv:1305.2421 ] [ INSPIRE ]
  • Henn, J.M., Multiloop integrals in dimensional regularization made simple (2013) Phys. Rev. Lett., 110, p. 251601. , [ arXiv:1304.1806 ] [ INSPIRE ]
  • Smirnov, A.V., Algorithm FIRE - Feynman Integral REduction (2008) JHEP, 10, p. 107. , [ arXiv:0807.3243 ] [ INSPIRE ]
  • Chen, W., Semenoff, G.W., Wu, Y.-S., Two loop analysis of nonAbelian Chern-Simons theory (1992) Phys. Rev., D 46, p. 5521. , [ hep-th/9209005 ] [ INSPIRE ]
  • Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., 1/2 BPS Wilson loop in N =6 superconformal Chern-Simons theory at two loops (2013) Phys. Rev., D 88, p. 026009. , [ arXiv:1303.6939 ] [ INSPIRE ]
  • Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details (2013) JHEP, 10, p. 085. , [ arXiv:1307.0786 ] [ INSPIRE ]
  • Griguolo, L., Martelloni, G., Poggi, M., Seminara, D., Perturbative evaluation of circular 1/2 BPS Wilson loops in N=6 Super Chern-Simons theories (2013) JHEP, 9, p. 157. , [ arXiv:1307.0787 ] [ INSPIRE ]
  • Alday, L.F., Henn, J.M., Plefka, J., Schuster, T., Scattering into the fifth dimension of N =4 super Yang-Mills (2010) JHEP, 1, p. 077. , [ arXiv:0908.0684 ] [ INSPIRE ]
  • Czakon, M., Automatized analytic continuation of Mellin-Barnes integrals (2006) Comput. Phys. Commun., 175, p. 559. , [ hep-ph/0511200 ] [ INSPIRE ]
  • Smirnov, A.V., Smirnov, V.A., On the Resolution of Singularities of Multiple Mellin-Barnes Integrals (2009) Eur. Phys. J., C 62, p. 445. , [ arXiv:0901.0386 ] [ INSPIRE ]
  • Gromov, N., Vieira, P., The all loop AdS4/CFT3 Bethe ansatz (2009) JHEP, 1, p. 016. , [ arXiv:0807.0777 ] [ INSPIRE ]
  • Minahan, J.A., Ohlsson Sax, O., Sieg, C., Anomalous dimensions at four loops in N =6 superconformal Chern-Simons theories (2011) Nucl. Phys., B 846, p. 542. , [ arXiv:0912.3460 ] [ INSPIRE ]
  • Minahan, J.A., Ohlsson Sax, O., Sieg, C., Magnon dispersion to four loops in the ABJM and ABJ models (2010) J. Phys., A 43, p. 275402. , [ arXiv:0908.2463 ] [ INSPIRE ]
  • Leoni, M., Mauri, A., Minahan, J.A., Ohlsson Sax, O., Santambrogio, A., Superspace calculation of the four-loop spectrum in N =6 supersymmetric Chern-Simons theories (2010) JHEP, 12, p. 074. , [ arXiv:1010.1756 ] [ INSPIRE ]

Citas:

---------- APA ----------
Bianchi, M.S. & Leoni, M. (2014) . On the ABJM four-point amplitude at three loops and BDS exponentiation. Journal of High Energy Physics, 2014(11).
http://dx.doi.org/10.1007/JHEP11(2014)077
---------- CHICAGO ----------
Bianchi, M.S., Leoni, M. "On the ABJM four-point amplitude at three loops and BDS exponentiation" . Journal of High Energy Physics 2014, no. 11 (2014).
http://dx.doi.org/10.1007/JHEP11(2014)077
---------- MLA ----------
Bianchi, M.S., Leoni, M. "On the ABJM four-point amplitude at three loops and BDS exponentiation" . Journal of High Energy Physics, vol. 2014, no. 11, 2014.
http://dx.doi.org/10.1007/JHEP11(2014)077
---------- VANCOUVER ----------
Bianchi, M.S., Leoni, M. On the ABJM four-point amplitude at three loops and BDS exponentiation. J. High Energy Phys. 2014;2014(11).
http://dx.doi.org/10.1007/JHEP11(2014)077