Reexamining the photon polarization in B→Kππγ

Reexamining the photon polarization in B→Kππγ We reexamine, update and extend a suggestion we made fifteen years ago for measuring the photon polarization in b→sγ by observing in B→Kππγ an asymmetry of the photon with respect to the Kππ plane. Asymmetries are calculated for different charged final states due to intermediate K1(1400) and K1(1270) resonant states. Three distinct interference mechanisms are identified contributing to asymmetries at different levels for these two kaon resonances. For K1(1400) decays including a final state π0 an asymmetry around +30% is calculated, dominated by interference of two intermediate K*π states, while an asymmetry around +10% in decays including final π+π- is dominated by interference of S and D wave K*π amplitudes. In decays via K1(1270) to final states including a π0 a negative asymmetry is favored up to -10% if one assumes S wave dominance in decays to K*π and Kρ, while in decays involving π+π- the asymmetry can vary anywhere in the range -13% to +24% depending on unknown phases. For more precise asymmetry predictions in the latter decays we propose studying phases in K1→K*π,Kρ by performing dedicated amplitude analyses of B→J/ψ(ψ′)Kππ. In order to increase statistics in studies of B→Kππγ we suggest using isospin symmetry to combine in the same analysis samples of charged and neutral B decays. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Reexamining the photon polarization in B→Kππγ

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Reexamining the photon polarization in B→Kππγ

Abstract

We reexamine, update and extend a suggestion we made fifteen years ago for measuring the photon polarization in b→sγ by observing in B→Kππγ an asymmetry of the photon with respect to the Kππ plane. Asymmetries are calculated for different charged final states due to intermediate K1(1400) and K1(1270) resonant states. Three distinct interference mechanisms are identified contributing to asymmetries at different levels for these two kaon resonances. For K1(1400) decays including a final state π0 an asymmetry around +30% is calculated, dominated by interference of two intermediate K*π states, while an asymmetry around +10% in decays including final π+π- is dominated by interference of S and D wave K*π amplitudes. In decays via K1(1270) to final states including a π0 a negative asymmetry is favored up to -10% if one assumes S wave dominance in decays to K*π and Kρ, while in decays involving π+π- the asymmetry can vary anywhere in the range -13% to +24% depending on unknown phases. For more precise asymmetry predictions in the latter decays we propose studying phases in K1→K*π,Kρ by performing dedicated amplitude analyses of B→J/ψ(ψ′)Kππ. In order to increase statistics in studies of B→Kππγ we suggest using isospin symmetry to combine in the same analysis samples of charged and neutral B decays.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.013002
Publisher site
See Article on Publisher Site

Abstract

We reexamine, update and extend a suggestion we made fifteen years ago for measuring the photon polarization in b→sγ by observing in B→Kππγ an asymmetry of the photon with respect to the Kππ plane. Asymmetries are calculated for different charged final states due to intermediate K1(1400) and K1(1270) resonant states. Three distinct interference mechanisms are identified contributing to asymmetries at different levels for these two kaon resonances. For K1(1400) decays including a final state π0 an asymmetry around +30% is calculated, dominated by interference of two intermediate K*π states, while an asymmetry around +10% in decays including final π+π- is dominated by interference of S and D wave K*π amplitudes. In decays via K1(1270) to final states including a π0 a negative asymmetry is favored up to -10% if one assumes S wave dominance in decays to K*π and Kρ, while in decays involving π+π- the asymmetry can vary anywhere in the range -13% to +24% depending on unknown phases. For more precise asymmetry predictions in the latter decays we propose studying phases in K1→K*π,Kρ by performing dedicated amplitude analyses of B→J/ψ(ψ′)Kππ. In order to increase statistics in studies of B→Kππγ we suggest using isospin symmetry to combine in the same analysis samples of charged and neutral B decays.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 2017

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