TY - JOUR
T1 - The mathematical structure of U-spin amplitude sum rules
AU - Gavrilova, Margarita
AU - Grossman, Yuval
AU - Schacht, Stefan
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/8
Y1 - 2022/8
N2 - We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided.
AB - We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided.
KW - Bottom Quarks
KW - Charm Flavour Violation
KW - Flavour Symmetries
UR - http://www.scopus.com/inward/record.url?scp=85137198724&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2022)278
DO - 10.1007/JHEP08(2022)278
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85137198724
SN - 1126-6708
VL - 2022
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 278
ER -