How to tame penguins: Advancing to high-precision measurements of $ϕ_d$ and $ϕ_s$

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Autori principali: De Bruyn, Kristof, Fleischer, Robert, Malami, Eleftheria
Natura: Preprint
Pubblicazione: 2025
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author De Bruyn, Kristof
Fleischer, Robert
Malami, Eleftheria
author_facet De Bruyn, Kristof
Fleischer, Robert
Malami, Eleftheria
contents The complex phases $ϕ_d$ and $ϕ_s$, associated with the mixing between neutral $B_q^0$ and $\bar B_q^0$ mesons ($q\in\{d,s\}$), are key observables to test the Standard Model and search for contributions from new physics. They are conventionally determined from the measurements of mixing-induced CP violation in the decays $B_d^0\to J/ψK^0$, $B_s^0\to J/ψϕ$ and $B_s^0\to D_s^+D_s^-$. To reach the highest possible precision on $ϕ_d$ and $ϕ_s$, it is crucial that corrections from next-to-leading order effects - primarily associated with penguin decay topologies - are accounted for. The strategy adopted in this paper uses the $SU(3)$ flavour symmetry of QCD to relate the unknown contributions from penguin topologies to their counterparts in suitably-chosen control modes, where their effects are enhanced. Utilising new CP asymmetry measurements from LHCb on the decays $B_s^0\to D_s^+D_s^-$, $B_d^0\to D^+D^-$, $B^+\to J/ψK^+$ and $B^+\to J/ψπ^+$, as well as from Belle-II on the decay $B_d^0\to J/ψπ^0$, we present the current state-of-the-art picture on controlling the penguin contributions and extract $ϕ_d$ and $ϕ_s$ from the corresponding observables. We explore the prospects for the end of the Belle-II and HL-LHC flavour physics programmes, and demonstrate the importance of measuring the control modes with future data.
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id arxiv_https___arxiv_org_abs_2505_06102
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle How to tame penguins: Advancing to high-precision measurements of $ϕ_d$ and $ϕ_s$
De Bruyn, Kristof
Fleischer, Robert
Malami, Eleftheria
High Energy Physics - Phenomenology
The complex phases $ϕ_d$ and $ϕ_s$, associated with the mixing between neutral $B_q^0$ and $\bar B_q^0$ mesons ($q\in\{d,s\}$), are key observables to test the Standard Model and search for contributions from new physics. They are conventionally determined from the measurements of mixing-induced CP violation in the decays $B_d^0\to J/ψK^0$, $B_s^0\to J/ψϕ$ and $B_s^0\to D_s^+D_s^-$. To reach the highest possible precision on $ϕ_d$ and $ϕ_s$, it is crucial that corrections from next-to-leading order effects - primarily associated with penguin decay topologies - are accounted for. The strategy adopted in this paper uses the $SU(3)$ flavour symmetry of QCD to relate the unknown contributions from penguin topologies to their counterparts in suitably-chosen control modes, where their effects are enhanced. Utilising new CP asymmetry measurements from LHCb on the decays $B_s^0\to D_s^+D_s^-$, $B_d^0\to D^+D^-$, $B^+\to J/ψK^+$ and $B^+\to J/ψπ^+$, as well as from Belle-II on the decay $B_d^0\to J/ψπ^0$, we present the current state-of-the-art picture on controlling the penguin contributions and extract $ϕ_d$ and $ϕ_s$ from the corresponding observables. We explore the prospects for the end of the Belle-II and HL-LHC flavour physics programmes, and demonstrate the importance of measuring the control modes with future data.
title How to tame penguins: Advancing to high-precision measurements of $ϕ_d$ and $ϕ_s$
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.06102