On factorization of multiparticle pentagons. (English) Zbl 1329.81263
Summary: We address the near-collinear expansion of multiparticle NMHV amplitudes, namely, the heptagon and octagons in the dual language of null polygonal super Wilson loops. In particular, we verify multiparticle factorization of charged pentagon transitions in terms of pentagons for single flux-tube excitations within the framework of refined operator product expansion. We find a perfect agreement with available tree and one-loop data.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
References:
| [1] | Beisert, N., Review of AdS/CFT integrability: an overview, Lett. Math. Phys., 99, 3 (2012) · Zbl 1268.81126 |
| [2] | Alday, L. F.; Gaiotto, D.; Maldacena, J.; Sever, A.; Vieira, P., An operator product expansion for polygonal null Wilson loops, J. High Energy Phys., 1104, 088 (2011) · Zbl 1250.81071 |
| [3] | Basso, B.; Sever, A.; Vieira, P., Spacetime and flux tube S-matrices at finite coupling for \(N = 4\) supersymmetric Yang-Mills theory, Phys. Rev. Lett., 111, 9, 091602 (2013) |
| [4] | Alday, L. F.; Maldacena, J. M., Gluon scattering amplitudes at strong coupling, J. High Energy Phys., 0706, 064 (2007) |
| [5] | Drummond, J. M.; Henn, J.; Korchemsky, G. P.; Sokatchev, E., On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B, 795, 52 (2008) · Zbl 1219.81191 |
| [6] | Brandhuber, A.; Heslop, P.; Travaglini, G., MHV amplitudes in \(N = 4\) super Yang-Mills and Wilson loops, Nucl. Phys. B, 794, 231 (2008) · Zbl 1273.81201 |
| [7] | Caron-Huot, S., Notes on the scattering amplitude/Wilson loop duality, J. High Energy Phys., 1107, 058 (2011) · Zbl 1298.81357 |
| [8] | Mason, L. J.; Skinner, D., The complete planar S-matrix of \(N = 4\) SYM as a Wilson loop in Twistor space, J. High Energy Phys., 1012, 018 (2010) · Zbl 1294.81122 |
| [9] | Belitsky, A. V.; Korchemsky, G. P.; Sokatchev, E., Are scattering amplitudes dual to super Wilson loops?, Nucl. Phys. B, 855, 333 (2012) · Zbl 1229.81176 |
| [10] | Drummond, J. M.; Henn, J.; Korchemsky, G. P.; Sokatchev, E., Dual superconformal symmetry of scattering amplitudes in \(N = 4\) super-Yang-Mills theory, Nucl. Phys. B, 828, 317 (2010) · Zbl 1203.81112 |
| [11] | Mason, L. J.; Skinner, D., Dual superconformal invariance, momentum twistors and grassmannians, J. High Energy Phys., 0911, 045 (2009) |
| [12] | Basso, B., Exciting the GKP string at any coupling, Nucl. Phys. B, 857, 254 (2012) · Zbl 1246.81206 |
| [13] | Basso, B.; Belitsky, A. V., Lüscher formula for GKP string, Nucl. Phys. B, 860, 1 (2012) · Zbl 1246.81207 |
| [14] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux tube S-matrix II. Extracting and matching data, J. High Energy Phys., 1401, 008 (2014) |
| [15] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions, J. High Energy Phys., 1408, 085 (2014) |
| [16] | Belitsky, A. V., Nonsinglet pentagons and NHMV amplitudes · Zbl 1331.81283 |
| [17] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux-tube S-matrix IV. Gluons and fusion, J. High Energy Phys., 1409, 149 (2014) |
| [18] | Belitsky, A. V., Fermionic pentagons and NMHV hexagon · Zbl 1328.81156 |
| [19] | Basso, B.; Caetano, J.; Cordova, L.; Sever, A.; Vieira, P., OPE for all helicity amplitudes · Zbl 1388.81277 |
| [20] | Del Duca, V.; Duhr, C.; Smirnov, V. A., The two-loop hexagon Wilson loop in \(N = 4\) SYM, J. High Energy Phys., 1005, 084 (2010) · Zbl 1287.81080 |
| [21] | Goncharov, A. B.; Spradlin, M.; Vergu, C.; Volovich, A., Classical polylogarithms for amplitudes and Wilson loops, Phys. Rev. Lett., 105, 151605 (2010) |
| [22] | Dixon, L. J.; Drummond, J. M.; von Hippel, M.; Pennington, J., Hexagon functions and the three-loop remainder function, J. High Energy Phys., 1312, 049 (2013) · Zbl 1342.81159 |
| [23] | Dixon, L. J.; Drummond, J. M.; Duhr, C.; Pennington, J., The four-loop remainder function and multi-Regge behavior at NNLLA in planar \(N = 4\) super-Yang-Mills theory, J. High Energy Phys., 1406, 116 (2014) · Zbl 1333.81238 |
| [24] | Dixon, L. J.; Drummond, J. M.; Henn, J. M., Analytic result for the two-loop six-point NMHV amplitude in \(N = 4\) super Yang-Mills theory, J. High Energy Phys., 1201, 024 (2012) · Zbl 1306.81093 |
| [25] | Dixon, L. J.; von Hippel, M., Bootstrapping an NMHV amplitude through three loops |
| [26] | Golden, J.; Paulos, M. F.; Spradlin, M.; Volovich, A., Cluster polylogarithms for scattering amplitudes · Zbl 1304.81123 |
| [27] | Golden, J.; Spradlin, M., An analytic result for the two-loop seven-point MHV amplitude in \(N = 4\) SYM, J. High Energy Phys., 1408, 154 (2014) |
| [28] | Golden, J.; Spradlin, M., A cluster bootstrap for two-loop MHV amplitudes |
| [29] | Drummond, J. M.; Papathanasiou, G.; Spradlin, M., A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon |
| [31] | Belitsky, A. V.; Derkachov, S. E.; Manashov, A. N., Quantum mechanics of null polygonal Wilson loops, Nucl. Phys. B, 882, 303 (2014) · Zbl 1285.81047 |
| [32] | Belitsky, A. V., OPE for null Wilson loops and open spin chains, Phys. Lett. B, 709, 280 (2012) |
| [33] | Sever, A.; Vieira, P.; Wang, T., From polygon Wilson loops to spin chains and back, J. High Energy Phys., 1212, 065 (2012) · Zbl 1397.81327 |
| [34] | Caron-Huot, S.; He, S., Jumpstarting the all-loop S-matrix of planar \(N = 4\) super Yang-Mills, J. High Energy Phys., 1207, 174 (2012) · Zbl 1397.81347 |
| [35] | Bourjaily, J. L.; Caron-Huot, S.; Trnka, J., Dual-conformal regularization of infrared loop divergences and the chiral box expansion |
| [36] | Gaiotto, D.; Maldacena, J.; Sever, A.; Vieira, P., Pulling the straps of polygons, J. High Energy Phys., 1112, 011 (2011) · Zbl 1306.81153 |
| [37] | Papathanasiou, G., Hexagon Wilson loop OPE and harmonic polylogarithms, J. High Energy Phys., 1311, 150 (2013) · Zbl 1342.81610 |
| [38] | Hatsuda, Y., Wilson loop OPE, analytic continuation and multi-Regge limit, J. High Energy Phys., 1410, 38 (2014) |
| [39] | Sever, A.; Vieira, P., Multichannel conformal blocks for polygon Wilson loops, J. High Energy Phys., 1201, 070 (2012) · Zbl 1306.81313 |
| [40] | Alday, L. F.; Maldacena, J. M., Comments on operators with large spin, J. High Energy Phys., 0711, 019 (2007) · Zbl 1245.81257 |
| [41] | Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P., Logarithmic scaling in gauge/string correspondence, Nucl. Phys. B, 748, 24 (2006) · Zbl 1186.81100 |
| [42] | Belitsky, A. V.; Korchemsky, G. P.; Pasechnik, R. S., Fine structure of anomalous dimensions in \(N = 4\) super Yang-Mills theory, Nucl. Phys. B, 809, 244 (2009) · Zbl 1192.81226 |
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