ON ABJM BDS EXPONENTIATION Matias Leoni Universidad de Buenos Aires & CONICET In collaboration with Marco S. Bianchi arXiv:1403.3398
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
N=4 SYM Exponentiation Consider color ordered MHV 4p amplitude in We define the ratio s.t. 1 loop 2 loop 3 loop BDS Ansatz Bern, Dixon, Smirnov hep-th/0505205
ABJM Theory ● 3D Superconformal field Theory ● N=6 SUSY, 24 supercharges ● Dual to IIA Strings on ● Two CS fields ● Matter in the bifundamental: Aharony, Bergman, Jafferis, Maldacena arXiv:0806.1218
ABJM Theory ● 3D Superconformal field Theory ● N=6 SUSY, 24 supercharges ● Dual to IIA Strings on ● Two CS fields ● Matter in the bifundamental: Aharony, Bergman, Jafferis, Maldacena arXiv:0806.1218
ABJM scattering amplitudes On shell: 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arXiv:1003.6120 4 p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arXiv:1107.3139; Chen, Huang arXiv:1107.2710
Results M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Results Main Result: Recall: Then M. S. Bianchi, ML, arXiv:1403.3398
Conclusions Drummond, Henn, ● Evidence for exponentiation - DCI?? Korchemsky, Sokatchev, arXiv:0712.1223 ● Not clear from strong coupling ● Compared to N=4: ➔ Odd loops: disappear from exponent ➔ Even loops similar to N=4 SYM Would need 4 loops to see if recurrence is satisfied with 2 loop result
Conclusions Drummond, Henn, ● Evidence for exponentiation - DCI?? Korchemsky, Sokatchev, arXiv:0712.1223 ● Not clear from strong coupling Adam, Dekel, Oz, arXiv:1008.0649 Bakhmatov, Colgain, Yavartanoo, arXiv:1109.1052 ● Compared to N=4: ➔ Odd loops: disappear from exponent ➔ Even loops similar to N=4 SYM Would need 4 loops to see if recurrence is satisfied with 2 loop result
Conclusions Drummond, Henn, ● Evidence for exponentiation - DCI?? Korchemsky, Sokatchev, arXiv:0712.1223 ● Not clear from strong coupling Adam, Dekel, Oz, arXiv:1008.0649 Bakhmatov, Colgain, Yavartanoo, arXiv:1109.1052 ● Compared to N=4: ➔ Odd loops: disappear from exponent ➔ Even loops similar to N=4 SYM Would need 4 loops to see if recurrence is satisfied with 2 loop result
Conclusions Drummond, Henn, ● Evidence for exponentiation - DCI?? Korchemsky, Sokatchev, arXiv:0712.1223 ● Not clear from strong coupling Adam, Dekel, Oz, arXiv:1008.0649 Bakhmatov, Colgain, Yavartanoo, arXiv:1109.1052 ● Compared to N=4: ➔ Odd loops: disappear from exponent ➔ Even loops similar to N=4 SYM Need 4 loops to verify if recurrence is satisfied with 2 loop result
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