TY - JOUR
T1 - What is the right formalism to search for resonances?
AU - Joint Physics Analysis Center
AU - Mikhasenko, M.
AU - Pilloni, A.
AU - Nys, J.
AU - Albaladejo, M.
AU - Fernández-Ramírez, C.
AU - Jackura, A.
AU - Mathieu, V.
AU - Sherrill, N.
AU - Skwarnicki, T.
AU - Szczepaniak, A. P.
N1 - Funding Information:
Acknowledgements We are grateful for the inspiring atmosphere at the PWA9/ATHOS4 workshop where the idea for this work was born. AP thanks Greig Cowan and Jonas Rademacker for useful discussions about the application of the different formalisms in LHCb. MM and AP would like to thank Suh-Urk Chung and Andrey Sarantsev for several useful discussion about the CPM approach, Dmitry Ryabchikov for sharing his experience with partial wave analysis using the Zemach and LS formalisms, and Anton Ivashin for several useful discussions. This work was supported by BMBF, the U.S. Department of Energy under grants No. DE-AC05-06OR23177 and No. DE-FG02-87ER40365, PAPIIT-DGAPA (UNAM, Mexico) grant No. IA101717, CONACYT (Mexico) grant No. 251817, Research Foundation – Flanders (FWO), U.S. National Science Foundation under award numbers PHY-1507572, PHY-1415459 and PHY-1205019, and Ministerio de Economía y Competitividad (Spain) through grant No. FPA2016-77313-P.
Funding Information:
We are grateful for the inspiring atmosphere at the PWA9/ATHOS4 workshop where the idea for this work was born. AP thanks Greig Cowan and Jonas Rademacker for useful discussions about the application of the different formalisms in LHCb. MM and AP would like to thank Suh-Urk Chung and Andrey Sarantsev for several useful discussion about the CPM approach, Dmitry Ryabchikov for sharing his experience with partial wave analysis using the Zemach and LS formalisms, and Anton Ivashin for several useful discussions. This work was supported by BMBF, the U.S. Department of Energy under grants No. DE-AC05-06OR23177 and No. DE-FG02-87ER40365, PAPIIT-DGAPA (UNAM, Mexico) grant No. IA101717, CONACYT (Mexico) grant No. 251817, Research Foundation – Flanders (FWO), U.S. National Science Foundation under award numbers PHY-1507572, PHY-1415459 and PHY-1205019, and Ministerio de Economía y Competitividad (Spain) through grant No. FPA2016-77313-P.
Publisher Copyright:
© 2018, The Author(s).
PY - 2018/3/1
Y1 - 2018/3/1
N2 - Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity amplitudes to the covariant tensor basis. Hereby, we pay attention to the analytical properties of the amplitudes and separate singularities of kinematical and dynamical nature. We study the analytical properties of the spin-orbit (LS) formalism, and some of the covariant tensor approaches. In particular, we explicitly build the amplitudes for the B→ ψπK and B→ D¯ ππ decays, and show that the energy dependence of the covariant approach is model dependent. We also show that the usual recursive construction of covariant tensors explicitly violates crossing symmetry, which would lead to different resonance parameters extracted from scattering and decay processes.
AB - Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity amplitudes to the covariant tensor basis. Hereby, we pay attention to the analytical properties of the amplitudes and separate singularities of kinematical and dynamical nature. We study the analytical properties of the spin-orbit (LS) formalism, and some of the covariant tensor approaches. In particular, we explicitly build the amplitudes for the B→ ψπK and B→ D¯ ππ decays, and show that the energy dependence of the covariant approach is model dependent. We also show that the usual recursive construction of covariant tensors explicitly violates crossing symmetry, which would lead to different resonance parameters extracted from scattering and decay processes.
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U2 - 10.1140/epjc/s10052-018-5670-y
DO - 10.1140/epjc/s10052-018-5670-y
M3 - Article
AN - SCOPUS:85044182042
SN - 1434-6044
VL - 78
JO - European Physical Journal C
JF - European Physical Journal C
IS - 3
M1 - 229
ER -