This document summarizes the prospective physics plans of the French QCD and Heavy-Ion community, including the experimental programs at the LHC Run 5 and beyond and future colliders at CERN, within the context of the French contribution to the update of the European Strategy in Particle Physics (ESPPU 2025), as discussed in the workshop on European Strategy for Particle Physics Update 2025 organised by the QCD GdR in Oct. 2024.

The first untagged decay-time-integrated amplitude analysis of $B^{0}_{s} rightarrow K^{0}_{textrm{S}} K^{pm}pi^{mp}$ decays is performed using a sample corresponding to $3.0,$fb$^{-1}$ of $pp$ collision data recorded with the LHCb detector during 2011 and 2012. The data are described with an amplitude model that contains contributions from the intermediate resonances $K^{*}(892)^{0,+}$, $K^*_2(1430)^{0,+}$ and $K^*_0(1430)^{0,+}$, and their charge conjugates. Measurements of the branching fractions of the decay modes $B^{0}_{s} rightarrow K^{*}(892)^{pm}K^{mp}$ and $B^{0}_{s} rightarrow K^{*}(892)^{0}kern 0.2emoverline{kern -0.2em K}{}^{0}, kern 0.2emoverline{kern -0.2em K}{}^{*}(892)^{0}K^{0}$ are in agreement with, and more precise than, previous results. The decays $B^{0}_{s} rightarrow K^*_0(1430)^{pm} K^{mp}$ and $B^{0}_{s} rightarrow K^{*}_{0}(1430)^{0}kern 0.2emoverline{kern -0.2em K}{}^{0}, kern 0.2emoverline{kern -0.2em K}{}^{*}_{0}(1430)^{0}K^{0}$ are observed for the first time, each with significance over 10 standard deviations.

A search for charge-parity (CP) violation in Cabibbo-suppressed Ds+→KS0π+, D+→KS0K+, and D+→ϕπ+ decays is reported using proton-proton collision data, corresponding to an integrated luminosity of 3.8  fb-1, collected at a center-of-mass energy of 13 TeV with the LHCb detector. High-yield samples of kinematically and topologically similar Cabibbo-favored D(s)+ decays are analyzed to subtract nuisance asymmetries due to production and detection effects, including those induced by CP violation in the neutral kaon system. The results areACP(Ds+→KS0π+)=(1.3±1.9±0.5)×10-3,ACP(D+→KS0K+)=(-0.09±0.65±0.48)×10-3,ACP(D+→ϕπ+)=(0.05±0.42±0.29)×10-3,where the first uncertainties are statistical and the second systematic. They are the most precise measurements of these quantities to date, and are consistent with CP symmetry. A combination with previous LHCb measurements, based on data collected at 7 and 8 TeV, is also reported.

The production fraction of the Bc-meson with respect to the sum of B- A nd B0 mesons is measured in both 7 and 13 TeV center-of-mass (c.m.) energy pp collisions produced by the Large Hadron Collider (LHC), using the LHCb detector. The rate, approximately 3.7 per mille, does not change with energy, but shows a transverse momentum dependence. The Bc-Bc+ production asymmetry is also measured and is consistent with zero within the determined statistical and systematic uncertainties of a few percent.

The doubly Cabibbo-suppressed decay Ξ$_{c}^{+}$  → pϕ with ϕ → K$^{+}$K$^{−}$ is observed for the first time, with a statistical significance of more than fifteen standard deviations. The data sample used in this analysis corresponds to an integrated luminosity of 2 fb$^{−1}$ recorded with the LHCb detector in pp collisions at a centre-of-mass energy of 8 TeV. The ratio of branching fractions between the decay Ξ$_{c}^{+}$  → pϕ and the singly Cabibbo-suppressed decay Ξ$_{c}^{+}$  → pK$^{−}$π$^{+}$ is measured to be $ frac{mathrm{mathcal{B}}left({varXi}_c^{+}to pphi right)}{mathrm{mathcal{B}}left({varXi}_c^{+}to p{K}^{-}{pi}^{+}right)}=left(19.8pm 0.7pm 0.9pm 0.2right)times {10}^{-3}, $

Decays of $B_{s}^{0}$ and $overline{B}{}_{s}^{0}$ mesons into $J/psipi^+pi^-$ final states are studied in a data sample corresponding to 1.9 fb$^{-1}$ of integrated luminosity collected with the LHCb detector in 13 TeV $pp$ collisions. A time-dependent amplitude analysis is used to determine the final-state resonance contributions, the $CP$-violating phase $phi_s=-0.057pm 0.060pm 0.011$ rad, the decay-width difference between the heavier mass $B_{s}^{0}$ eigenstate and the $B^{0}$ meson of $-0.050pm 0.004pm 0.004$ ps$^{-1}$, and the $CP$-violating parameter $|lambda|=1.01_{-0.06}^{+0.08}pm0.03$, where the first uncertainty is statistical and the second systematic. These results are combined with previous LHCb measurements in the same decay channel using 7 TeV and 8 TeV $pp$ collisions obtaining $phi_s =0.002pm0.044pm0.012$ rad, and $|lambda| =0.949pm0.036pm0.019$.

A search for the rare leptonic decay $B^{+} rightarrow {mu}^{+}{mu}^{-}{mu}^{+}{nu}_{{mu}}$ is performed using proton-proton collision data corresponding to an integrated luminosity of $4.7$ fb$^{-1}$ collected by the LHCb experiment. The search is carried out in the region where the lowest of the two ${mu}^{+}{mu}^{-}$ mass combinations is below $980$MeV/c$^{2}$. The data are consistent with the background-only hypothesis and an upper limit of $1.6 times 10^{-8}$ at 95% confidence level is set on the branching fraction in the stated kinematic region.

The branching fraction and direct $C!P$ asymmetry of the decay $B^{+}rightarrow J/psi rho^{+}$ are measured using proton-proton collision data collected with the LHCb detector at centre-of-mass energies of 7 and 8 TeV, corresponding to a total integrated luminosity of 3$mbox{fb}^{-1}$. The following results are obtained: begin{align} mathcal{B}(B^{+}rightarrow J/psi rho^{+}) u0026= (3.81 ^{+0.25}_{-0.24} pm 0.35) times 10^{-5}, nonumber mathcal{A}^{C!P} (B^{+}rightarrow J/psi rho^{+}) u0026= -0.045^{+0.056}_{-0.057} pm 0.008, nonumber end{align} where the first uncertainties are statistical and the second systematic. Both measurements are the most precise to date.

A search for CP violation in the Cabibbo-suppressed D0 → K+K−π+π− decay mode is performed using an amplitude analysis. The measurement uses a sample of pp collisions recorded by the LHCb experiment during 2011 and 2012, corresponding to an integrated luminosity of 3.0 fb−1. The D0 mesons are reconstructed from semileptonic b-hadron decays into D0μ−X final states. The selected sample contains more than 160 000 signal decays, allowing the most precise amplitude modelling of this D0 decay to date. The obtained amplitude model is used to perform the search for CP violation. The result is compatible with CP symmetry, with a sensitivity ranging from 1% to 15% depending on the amplitude considered.

R. Aaij et al. (LHCb Collaboration) (Received 25 June 2016; published 11 January 2017) The first full amplitude analysis of Bþ → J=ψφKþ with J=ψ → μþμ−, φ → KþK− decays is performed with a data sample of 3 fb−1 of pp collision data collected at ffiffi s p 1⁄4 7 and 8 TeV with the LHCb detector. The data cannot be described by a model that contains only excited kaon states decaying into φKþ, and four J=ψφ structures are observed, each with significance over 5 standard deviations. The quantum numbers of these structures are determined with significance of at least 4 standard deviations. The lightest has mass consistent with, but width much larger than, previous measurements of the claimed Xð4140Þ state. The model includes significant contributions from a number of expected kaon excitations, including the first observation of the K ð1680Þþ → φKþ transition.

Article history: Received 9 January 2017 Received in revised form 6 April 2017 Accepted 4 May 2017 Available online 12 May 2017 Editor: L. Rolandi A search for CP violation in D± → η′π± and D±s → η′π± decays is performed using proton–proton collision data, corresponding to an integrated luminosity of 3 fb−1, recorded by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The measured CP-violating charge asymmetries are ACP(D± → η′π±) = (−0.61 ± 0.72 ± 0.53 ± 0.12)% and ACP(D±s → η′π±) = (−0.82 ± 0.36 ± 0.22 ± 0.27)%, where the first uncertainties are statistical, the second systematic, and the third are the uncertainties on the ACP(D± → K 0 S π±) and ACP(D±s → φπ±) measurements used for calibration. The results represent the most precise measurements of these asymmetries to date. © 2017 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

The first observation of the decay ηc(2S) → pp̄ is reported using proton-proton collision data corresponding to an integrated luminosity of 3.0 fb−1 recorded by the LHCb experiment at centre-of-mass energies of 7 and 8 TeV. The ηc(2S) resonance is produced in the decay B+ → [cc̄]K+. The product of branching fractions normalised to that for the J/ψ intermediate state, Rηc(2S), is measured to be Rηc(2S) ≡ B(B+ → ηc(2S)K)× B(ηc(2S)→ pp̄) B(B+ → J/ψK+)× B(J/ψ → pp̄) = (1.58± 0.33± 0.09)× 10−2, where the first uncertainty is statistical and the second systematic. No signals for the decays B+ → X(3872)(→ pp̄)K+ and B+ → ψ(3770)(→ pp̄)K+ are seen, and the 95% confidence level upper limits on their relative branching ratios are found to be RX(3872) < 0.25× 10−2 and Rψ(3770)) < 0.10. In addition, the mass differences between the ηc(1S) and the J/ψ states, between the ηc(2S) and the ψ(2S) states, and the natural width of the ηc(1S) are measured as MJ/ψ −Mηc(1S) = 110.2± 0.5± 0.9 MeV, Mψ(2S) −Mηc(2S) = 52.5± 1.7± 0.6 MeV, Γηc(1S) = 34.0± 1.9± 1.3 MeV. Submitted to Phys. Lett. B c © CERN on behalf of the LHCb collaboration, licence CC-BY-4.0. †Authors are listed at the end of this paper. ar X iv :1 60 7. 06 44 6v 1 [ he pex ] 2 1 Ju l 2 01 6

The Λb → Λφ decay is observed using data corresponding to an integrated luminosity of 3.0 fb−1 recorded by the LHCb experiment. The decay proceeds at leading order via a b → sss loop transition and is therefore sensitive to the possible presence of particles beyond the Standard Model. A first observation is reported with a significance of 5.9 standard deviations. The value of the branching fraction is measured to be (5.18 ± 1.04 ± 0.35 +0.67 −0.62) × 10−6, where the first uncertainty is statistical, the second is systematic, and the third is related to external inputs. Triple-product asymmetries are measured to be consistent with zero. Published in Phys. Lett. B759 (2016) 282 c © CERN on behalf of the LHCb collaboration, licence CC-BY-4.0. †Authors are listed at the end of this letter. ar X iv :1 60 3. 02 87 0v 2 [ he pex ] 7 J un 2 01 6