ON ABJM BDS EXPONENTIATION
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1 ON ABJM BDS EXPONENTIATION Matias Leoni Universidad de Buenos Aires & CONICET In collaboration with Marco S. Bianchi arxiv:
2 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/
3 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/
4 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/
5 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/
6 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/
7 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/
8 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:
9 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:
10 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: ; Chen, Huang arxiv:
11 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
12 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
13 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
14 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
15 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
16 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
17 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
18 ABJM scattering amplitudes On shell: Bargheer, Loebbert, Meneghelli, arxiv: p. Superamplitude: 1 loop: 2 loops: Unitarity Cuts Integrand of 3 loop result Bianchi, ML, Mauri, Penati, Santambrogio arxiv: ; Chen, Huang arxiv:
19 Results M. S. Bianchi, ML, arxiv:
20 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
21 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
22 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
23 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
24 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
25 Results Main Result: Recall: Then M. S. Bianchi, ML, arxiv:
26 Conclusions Evidence for exponentiation - DCI?? Drummond, Henn, Korchemsky, Sokatchev, arxiv: 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
27 Conclusions Evidence for exponentiation - DCI?? Drummond, Henn, Korchemsky, Sokatchev, arxiv: Not clear from strong coupling Compared to N=4: Adam, Dekel, Oz, arxiv: Bakhmatov, Colgain, Yavartanoo, arxiv: 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
28 Conclusions Evidence for exponentiation - DCI?? Drummond, Henn, Korchemsky, Sokatchev, arxiv: Not clear from strong coupling Compared to N=4: Adam, Dekel, Oz, arxiv: Bakhmatov, Colgain, Yavartanoo, arxiv: 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
29 Conclusions Evidence for exponentiation - DCI?? Drummond, Henn, Korchemsky, Sokatchev, arxiv: Not clear from strong coupling Compared to N=4: Adam, Dekel, Oz, arxiv: Bakhmatov, Colgain, Yavartanoo, arxiv: 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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