TY - JOUR
T1 - The stratification of rigidity
AU - Bourjaily, Jacob L.
AU - Kalyanapuram, Nikhil
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/11
Y1 - 2022/11
N2 - We show that a master integrand basis exists for all planar, two-loop amplitudes in massless four-dimensional theories which is fully stratified by rigidity — with each integrand being either pure and strictly polylogarithmic or (pure and) strictly elliptic-polylogarithmic, with each of the later involving a single elliptic curve. Such integrands can be said to have definite rigidity.
AB - We show that a master integrand basis exists for all planar, two-loop amplitudes in massless four-dimensional theories which is fully stratified by rigidity — with each integrand being either pure and strictly polylogarithmic or (pure and) strictly elliptic-polylogarithmic, with each of the later involving a single elliptic curve. Such integrands can be said to have definite rigidity.
UR - http://www.scopus.com/inward/record.url?scp=85142137726&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85142137726&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2022)084
DO - 10.1007/JHEP11(2022)084
M3 - Article
AN - SCOPUS:85142137726
SN - 1126-6708
VL - 2022
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 84
ER -