Visualisation of $CP$-violation effects in decay-time-dependent analyses of multibody $B$-meson decays

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Gershon, Tim, Latham, Thomas, Morris, Andy, Qian, Wenbin, Whitehead, Mark, Xu, Ao
Format: Preprint
Published: 2024
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866911821441531904
author Gershon, Tim
Latham, Thomas
Morris, Andy
Qian, Wenbin
Whitehead, Mark
Xu, Ao
author_facet Gershon, Tim
Latham, Thomas
Morris, Andy
Qian, Wenbin
Whitehead, Mark
Xu, Ao
contents Decay-time-dependent $CP$-violation effects in transitions of neutral $B$ mesons to $CP$-eigenstates can be visualised by oscillations in the asymmetry, as a function of decay time, between decay yields from mesons tagged as initially having $\overline{B}$ or $B$ flavour. Such images, for example for $B^0 \to J/ψK^0_{\rm S}$ decays where the magnitude of the oscillation is proportional to $\sin(2β)$ with $β$ being an angle of the Cabibbo--Kobayashi--Maskawa Unitarity Triangle, provide a straightforward illustration of the underlying physics. Until now there has been no comparable method to provide visualisation for the case of decays to multibody final states that are not $CP$-eigenstates, where interference between $CP$-even and -odd amplitudes provides additional physics sensitivity. A method is proposed to weight the data so that the terms of interest can be projected out and used to obtain asymmetries that visualise the relevant effects. Application of the weighting to $B^0_s$ decays, where effects due to non-zero width difference are not negligible, provides a novel method to observe $CP$ violation in interference between mixing and decay without tagging the production flavour.
format Preprint
id arxiv_https___arxiv_org_abs_2401_13473
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Visualisation of $CP$-violation effects in decay-time-dependent analyses of multibody $B$-meson decays
Gershon, Tim
Latham, Thomas
Morris, Andy
Qian, Wenbin
Whitehead, Mark
Xu, Ao
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Decay-time-dependent $CP$-violation effects in transitions of neutral $B$ mesons to $CP$-eigenstates can be visualised by oscillations in the asymmetry, as a function of decay time, between decay yields from mesons tagged as initially having $\overline{B}$ or $B$ flavour. Such images, for example for $B^0 \to J/ψK^0_{\rm S}$ decays where the magnitude of the oscillation is proportional to $\sin(2β)$ with $β$ being an angle of the Cabibbo--Kobayashi--Maskawa Unitarity Triangle, provide a straightforward illustration of the underlying physics. Until now there has been no comparable method to provide visualisation for the case of decays to multibody final states that are not $CP$-eigenstates, where interference between $CP$-even and -odd amplitudes provides additional physics sensitivity. A method is proposed to weight the data so that the terms of interest can be projected out and used to obtain asymmetries that visualise the relevant effects. Application of the weighting to $B^0_s$ decays, where effects due to non-zero width difference are not negligible, provides a novel method to observe $CP$ violation in interference between mixing and decay without tagging the production flavour.
title Visualisation of $CP$-violation effects in decay-time-dependent analyses of multibody $B$-meson decays
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2401.13473