Abstract:
We revisit the computation of the two-loop light-like tetragonal Wilson loop for three dimensional pure Chern-Simons and N = 6 Chern-Simons-matter theory, within dimensional regularization with dimensional reduction scheme. Our examination shows that, contrary to prior belief, the result respects maximal transcendentality as is the case of the four-point scattering amplitude of the theory. Interestingly, the corrected result matches exactly the scattering amplitude both in the divergent and in the finite parts, constants included. © 2013 SISSA, Trieste, Italy.
Registro:
Documento: |
Artículo
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Título: | Light-like Wilson loops in ABJM and maximal transcendentality |
Autor: | Bianchi, M.S.; Giribet, G.; Leoni, M.; Penati, S. |
Filiación: | Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany Physics Department, FCEyN-UBA and IFIBA-CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina Instituto de Física, Pontificia Universidad Católica de Valparaíso Casilla, 4950 Valparaíso, Chile Dipartimento di Fisica, Università Degli Studi di Milano-Bicocca, Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy
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Palabras clave: | 't Hooft and Polyakov loops; ChernSimons Theories; Supersymmetric gauge theory; Wilson |
Año: | 2013
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Volumen: | 2013
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Número: | 8
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DOI: |
http://dx.doi.org/10.1007/JHEP08(2013)111 |
Título revista: | Journal of High Energy Physics
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Título revista abreviado: | J. High Energy Phys.
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ISSN: | 11266708
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2013_n8_p_Bianchi |
Referencias:
- 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]
- Brandhuber, A., Heslop, P., Travaglini, G., MHV amplitudes in N = 4 super Yang-Mills and Wilson loops (2008) Nucl. Phys., 794, p. 231. , 2386887 2008NuPhB.794.231B 10.1016/j.nuclphysb.2007.11.002 [arXiv:0707.1153]
- 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]
- Anastasiou, C., Two-loop polygon Wilson loops in N = 4 SYM (2009) JHEP, 5, p. 115. , 2511327 2009JHEP.05.115A 10.1088/1126-6708/2009/05/115 [arXiv:0902.2245]
- Alday, L.F., Maldacena, J.M., Gluon scattering amplitudes at strong coupling (2007) JHEP, 6, p. 064. , 2326587 2007JHEP.06.064A 10.1088/1126-6708/2007/06/064 [arXiv:0705.0303]
- 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]
- Beisert, N., Ricci, R., Tseytlin, A.A., Wolf, M., Dual superconformal symmetry from AdS5 × S5 superstring integrability (2008) Phys. Rev., D78, p. 126004. , 2487279 2008PhRvD.78l6004B [arXiv:0807.3228]
- Kotikov, A., Lipatov, L., DGLAP and BFKL Evolution Equations in the N = 4 Supersymmetric Gauge Theory, , hep-ph/0112346 [ INSPIRE ]
- Kotikov, A., Lipatov, L., Onishchenko, A., Velizhanin, V., Three loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model (2004) Phys. Lett., 595, p. 521. , 2092002 2004PhLB.595.521K [Erratum ibid. B 632 (2006) 754-756] [hep-th/0404092]
- Kotikov, A., Lipatov, L., On the highest transcendentality in N = 4 SUSY (2007) Nucl. Phys., 769, p. 217. , 2314421 2007NuPhB.769.217K 10.1016/j.nuclphysb.2007.01.020 [hep-th/0611204]
- Kotikov, A., The Property of Maximal Transcendentality: Calculation of Master Integrals, , arXiv:1212.3732 [ INSPIRE ]
- Gehrmann, T., Henn, J.M., Huber, T., The three-loop form factor in N = 4 super Yang-Mills (2012) JHEP, 3, p. 101. , 2980169 2012JHEP.03.101G 10.1007/JHEP03(2012)101 [arXiv:1112.4524]
- Henn, J.M., Multiloop Integrals in Dimensional Regularization Made Simple, , arXiv:1304.1806 [ INSPIRE ]
- Henn, J.M., Huber, T., The Four-loop Cusp Anomalous Dimension from Iterated Wilson Line Integrals, , arXiv:1304.6418 [ INSPIRE ]
- 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. , 2452954 2008JHEP.10.091A 10.1088/1126-6708/2008/10/091 [arXiv:0806.1218]
- Bargheer, T., Loebbert, F., Meneghelli, C., Symmetries of tree-level scattering amplitudes in N = 6 superconformal Chern-Simons theory (2010) Phys. Rev., D82, p. 045016. , 2010PhRvD.82d5016B [arXiv:1003.6120]
- 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]
- 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]
- 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]
- Brandhuber, A., Heslop, P., Travaglini, G., A note on dual superconformal symmetry of the N =4 super Yang-Mills S-matrix (2008) Phys. Rev., D78, p. 125005. , 2487271 2008PhRvD.78l5005B [arXiv:0807.4097]
- 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]
- 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]
- Chen, W.-M., Huang, Y.-T., Dualities for loop amplitudes of N = 6 3Chern-Simons matter theory (2011) JHEP, 11, p. 057. , 2011JHEP.11.057C 10.1007/JHEP11(2011)057 [arXiv:1107.2710]
- 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]
- 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]
- 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]
- Brandhuber, A., Korres, D., Mooney, R., Gurdogan, O., Travaglini, G., Two-loop Sudakov Form Factor in ABJM, , arXiv:1305.2421 [ INSPIRE ]
- Young, D., Form factors of chiral primary operators at two loops in ABJ(M) (2013) JHEP, 6, p. 049. , 2013JHEP.06.049Y 10.1007/JHEP06(2013)049 [arXiv:1305.2422]
- Bianchi, M.S., Leoni, M., N = 8 SYM vs. N = 6 Chern-Simons: Four-point amplitudes at two-loops (2013) JHEP, 3, p. 101. , 3046705 2013JHEP.03.101B 10.1007/JHEP03(2013)101 [arXiv:1210.4925]
- Lipstein, A.E., Mason, L., Amplitudes of 3D Yang-Mills Theory, , arXiv:1207.6176 [ INSPIRE ]
- Bianchi, M.S., From correlators to Wilson loops in Chern-Simons matter theories (2011) JHEP, 6, p. 118. , 2870807 2011JHEP.06.118B 10.1007/JHEP06(2011)118 [arXiv:1103.3675]
- 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]
- Wiegandt, K., Equivalence of Wilson Loops in N = 6 super Chern-Simons matter theory and N =4 SYM Theory (2011) Phys. Rev., D84, p. 126015. , 2011PhRvD.84l6015W [arXiv:1110.1373]
- 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]
- 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]
- Adam, I., Dekel, A., Oz, Y., On the fermionic T-duality of the AdS4 × CP3 σ-model (2010) JHEP, 10, p. 110. , 2780501 2010JHEP.10.110A 10.1007/JHEP10(2010)110 [arXiv:1008.0649]
- Bakhmatov, I., On AdS4 × CP3 T-duality (2011) Nucl. Phys., 847, p. 38. , 2774014 2011NuPhB.847.38B 10.1016/j.nuclphysb.2011.01.020 [arXiv:1011.0985]
- 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]
- 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]
- 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]
- 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]
- Brandhuber, A., Travaglini, G., Wen, C., All one-loop amplitudes in N = 6 superconformal Chern-Simons theory (2012) JHEP, 10, p. 145. , 3033830 2012JHEP.10.145B 10.1007/JHEP10(2012)145 [arXiv:1207.6908]
- Caron-Huot, S., Huang, Y.-T., The two-loop six-point amplitude in ABJM theory (2013) JHEP, 3, p. 075. , 2013JHEP.03.075C 10.1007/JHEP03(2013)075 [arXiv:1210.4226]
- 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]
- 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]
- Siegel, W., Supersymmetric dimensional regularization via dimensional reduction (1979) Phys. Lett., 84, p. 193. , 1979PhLB.84.193S
- Chen, W., Semenoff, G.W., Wu, Y.-S., Two loop analysis of nonAbelian Chern-Simons theory (1992) Phys. Rev., D46, p. 5521. , 1196897 1992PhRvD.46.5521C [hep-th/9209005]
- Bianchi, M.S., Giribet, G., Leoni, M., Penati, S., The 1/2 BPS Wilson Loop in ABJM Theory at Two Loops, , arXiv:1303.6939 [ INSPIRE ]
- Siegel, W., Inconsistency of supersymmetric dimensional regularization (1980) Phys. Lett., 94, p. 37. , 1980PhLB.94.37S
Citas:
---------- APA ----------
Bianchi, M.S., Giribet, G., Leoni, M. & Penati, S.
(2013)
. Light-like Wilson loops in ABJM and maximal transcendentality. Journal of High Energy Physics, 2013(8).
http://dx.doi.org/10.1007/JHEP08(2013)111---------- CHICAGO ----------
Bianchi, M.S., Giribet, G., Leoni, M., Penati, S.
"Light-like Wilson loops in ABJM and maximal transcendentality"
. Journal of High Energy Physics 2013, no. 8
(2013).
http://dx.doi.org/10.1007/JHEP08(2013)111---------- MLA ----------
Bianchi, M.S., Giribet, G., Leoni, M., Penati, S.
"Light-like Wilson loops in ABJM and maximal transcendentality"
. Journal of High Energy Physics, vol. 2013, no. 8, 2013.
http://dx.doi.org/10.1007/JHEP08(2013)111---------- VANCOUVER ----------
Bianchi, M.S., Giribet, G., Leoni, M., Penati, S. Light-like Wilson loops in ABJM and maximal transcendentality. J. High Energy Phys. 2013;2013(8).
http://dx.doi.org/10.1007/JHEP08(2013)111