Heavy flavour physics and CP violation at LHCb: A ten-year review

doi:10.1007/s11467-022-1247-1

Frontiers of Physics

2023, Vol. 18

Issue (4): 44601 https://doi.org/10.1007/s11467-022-1247-1

本期目录

Heavy flavour physics and CP violation at LHCb: A ten-year review

Shanzhen Chen¹, Yiming Li¹(

), Wenbin Qian², Zhihong Shen³, Yuehong Xie⁴, Zhenwei Yang³, Liming Zhang⁵, Yanxi Zhang³

¹. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
². University of Chinese Academy of Sciences, Beijing 100049, China
³. State Key Laboratory of Nuclear Physics and Technology & School of Physics, Peking University, Beijing 100871, China
⁴. Key Laboratory of Quark and Lepton Physics of Ministry of Education & Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
⁵. Department of Engineering Physics & Center for High Energy Physics, Tsinghua University, Beijing 100084, China

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Abstract：

Heavy flavour physics provides excellent opportunities to indirectly search for new physics at very high energy scales and to study hadron properties for deep understanding of the strong interaction. The LHCb experiment has been playing a leading role in the study of heavy flavour physics since the start of the LHC operations about ten years ago, and made a range of high-precision measurements and unexpected discoveries, which may have far-reaching implications on the field of particle physics. This review highlights a selection of the most influential physics results on CP violation, rare decays, and heavy flavour production and spectroscopy obtained by LHCb using the data collected during the first two operation periods of the LHC. The upgrade plan of LHCb and the physics prospects are also briefly discussed.

Key words： LHCb flavour physics CP vioation

收稿日期: 2022-11-07 出版日期: 2023-03-27

Corresponding Author(s): Yiming Li

引用本文:

. [J]. Frontiers of Physics, 2023, 18(4): 44601.
Shanzhen Chen, Yiming Li, Wenbin Qian, Zhihong Shen, Yuehong Xie, Zhenwei Yang, Liming Zhang, Yanxi Zhang. Heavy flavour physics and CP violation at LHCb: A ten-year review. Front. Phys. , 2023, 18(4): 44601.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-022-1247-1
https://academic.hep.com.cn/fop/CN/Y2023/V18/I4/44601

Fig.1

System	$s (N N)$ [ $TeV$ ]
System	$5 (2.76)$	$7$	$8 (8.16)$	$13$

$p p$	$J / ψ$ [84], $Υ$ [88], $D$ [100]	$η c$ [91], $J / ψ$ [7], $χ c 1 (3872)$ [78], $χ c / J / ψ$ [77], $χ c 2 / χ c 1$ [76, 86], $ψ (2 S)$ [81, 111], $Υ$ [79, 97], $χ b 2 / χ b 1$ [92, 93], $D, Λ c +$ [9], $B$ [80, 85, 105, 117], $Λ b 0$ [89, 96], $Ξ b$ [109], $B c +$ [83], $J / ψ J / ψ$ [75], $Υ D$ [98], $J / ψ D, D D, D D ¯ 0$ [82]	$η c$ [91], $J / ψ$ [95], $χ b 2 / χ b 1$ [92, 93], $χ c 1 (3872) / ψ (2 S)$ [116], $χ c 1 (3872)$ [119], $Υ$ [95, 97], $B s 0 / B 0$ [117], $Λ b 0$ [96], $Ξ b$ [109], $Υ D$ [98], $B c +$ [94]	$η c$ [112], $J / ψ$ [10, 102], $χ c 1 (3872)$ [119], $ψ (2 S)$ [111], $Υ$ [106], $D$ [11], $Ξ c c + +$ [114], $B +$ [105], $Ξ b$ [109], $B c +$ [113], $B s 0 / B 0$ [117], $J / ψ J / ψ$ [101]
$p$ Pb	$J / ψ$ [87], $ψ (2 S)$ [99], $Υ$ [90], $D 0$ [104], $Λ c +$ [107]		$J / ψ$ [103], $Υ$ [108], $D 0$ [74], $B +, B 0, Λ b 0$ [110], $χ c 2 / χ c 1$ [118], $D D, D D ¯ 0$ [115]

Tab.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Contribution	Significance [ $× σ$ ]	$M 0$ [ $MeV$ ]	$Γ 0$ [ $MeV$ ]	FF [%]

$X (2 −)$
$X (4150)$	4.8 (8.7)	$4146 ± 18 ± 33$	$135 ± 28 − 30 + 59$	$2.0 ± 0.5 − 1.0 + 0.8$
$X (1 −)$
$X (4630)$	5.5 (5.7)	$4626 ± 16 − 110 + 018$	$174 ± 27 − 073 + 134$	$2.6 ± 0.5 − 1.5 + 2.9$
All $X (0 +)$				$20 ± 5 − 07 + 14$
$X (4500)$	20 (20)	$4474 ± 3 ± 3$	$77 ± 6 − 08 + 10$	$5.6 ± 0.7 − 0.6 + 2.4$
$X (4700)$	17 (18)	$4694 ± 4 − 03 + 16$	$87 ± 8 − 06 + 16$	$8.9 ± 1.2 − 1.4 + 4.9$
All $X (1 +)$				$26 ± 3 − 10 + 08$
$X (4140)$	13 (16)	$4118 ± 11 − 36 + 19$	$162 ± 21 − 49 + 24$	$17 ± 3 − 6 + 19$
$X (4274)$	18 (18)	$4294 ± 4 − 6 + 3$	$53 ± 5 ± 5$	$2.8 ± 0.5 − 0.4 + 0.8$
$X (4685)$	15 (15)	$4684 ± 7 − 16 + 13$	$126 ± 15 − 41 + 37$	$7.2 ± 1.0 − 2.0 + 4.0$
All $T ψ s (1 +)$				$25 ± 5 − 12 + 11$
$T ψ s (4000)$	15 (16)	$4003 ± 6 − 14 + 04$	$131 ± 15 ± 26$	$9.4 ± 2.1 ± 3.4$
$T ψ s (4220)$	5.9 (8.4)	$4216 ± 24 − 30 + 43$	$233 ± 52 − 73 + 97$	$10 ± 4 − 07 + 10$

Tab.2

Fig.9

Fig.10

Fig.11

State	Decays	Significance [ $σ$ ]	Mass [ $MeV/ c 2$ ]	Width [ $MeV$ ]

$P ψ N (4312) +$	$J / ψ p$	$7.3 σ$	$4311.9 ± 0.7 − 0.6 + 6.8$	$0 9.8 ± 2.7 − 0 4.5 + 0 3.7$
$P ψ N (4440) +$	$J / ψ p$	$5.4 σ$	$4440.3 ± 1.3 − 4.7 + 4.1$	$20.6 ± 4.9 − 10.1 + 0 8.7$
$P ψ N (4457) +$	$J / ψ p$	$5.4 σ$	$4457.3 ± 0.6 − 1.7 + 4.1$	$0.53 ± 2.0 − 0 1.9 + 0 5.7$
$P ψ N (4337) +$	$J / ψ p$	$3.1 σ$	$04337 0 − 04 + 07 0 ± 2$	$029 0 − 012 + 026 ± 14$
$P ψ s Λ (4459) 0$	$J / ψ Λ$	$3.1 σ$	$4458.8 ± 2.9 − 1.1 + 4.7$	$17.3 ± 6.5 − 0 5.7 + 0 8.0$
$P ψ s Λ (4338) 0$	$J / ψ Λ$	$> 15 σ$	$4338.2 ± 0.7 ± 0.4$	$7.0 ± 1.2 ± 1.3$

Tab.3

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

Fig.21

Fig.22

Fig.23

Fig.24

Fig.25

Fig.26

Fig.27

Fig.28

Fig.29

Fig.30

Data sample	no CPV		CPV allowed
Data sample	$x ′ 2$ ( $× 10 − 3$ )	$y ′$ ( $× 10 − 3$ )	$x ′ 2$ ( $× 10 − 3$ )	$y ′$ ( $× 10 − 3$ )

1.0 fb⁻¹, $D ∗$ tag [863]	$− 0.09 ± 0.13$	$7.2 ± 2.4$	−	−
3.0 fb⁻¹, $D ∗$ tag [865]	$0.055 ± 0.049$	$2.8 ± 1.0$	$D 0$ : $0 0.049 ± 0.070$	$5.1 ± 1.4$
3.0 fb⁻¹, $D ∗$ tag [865]	$0.055 ± 0.049$	$2.8 ± 1.0$	$D ¯ 0$ : $0 0.060 ± 0.068$	$4.5 ± 1.4$
3.0 fb⁻¹, $B$ tag [866]	$0.028 ± 0.310$	$4.6 ± 3.7$	$D 0$ : $− 0.019 ± 0.447$	$5.81 ± 5.26$
3.0 fb⁻¹, $B$ tag [866]	$0.028 ± 0.310$	$4.6 ± 3.7$	$D ¯ 0$ : $0 0.079 ± 0.433$	$3.32 ± 5.23$
5.0 fb⁻¹, $D ∗$ tag [867]	$0.039 ± 0.027$	$5.28 ± 0.52$	$D 0$ : $0 0.061 ± 0.037$	$5.01 ± 0.74$
5.0 fb⁻¹, $D ∗$ tag [867]	$0.039 ± 0.027$	$5.28 ± 0.52$	$D ¯ 0$ : $0 0.016 ± 0.039$	$5.54 ± 0.74$

Tab.4

Fig.31

Data sample	CP-averaged parameters
Data sample	$x$ ( $× 10 − 3$ )	$y$ ( $× 10 − 3$ )

1.0 fb⁻¹, $D ∗$ tag [868]	$− 8.6 ± 5.3 ± 1.7$	$0.3 ± 4.6 ± 1.3$
3.0 fb⁻¹, $B$ tag [869]	$2.7 ± 1.6 ± 0.4$	$7.4 ± 3.6 ± 1.1$
5.4 fb⁻¹, $D ∗$ tag [870]	$3.97 ± 0.46 ± 0.29$	$4.59 ± 1.20 ± 0.85$
	CP-violating parameters
Data sample	$Δ x$ ( $× 10 − 3$ )	$Δ y$ ( $× 10 − 3$ )
3.0 fb⁻¹, $B$ tag [869]	$− 0.53 ± 0.70 ± 0.22$	$0.6 ± 1.6 ± 0.3$
5.4 fb⁻¹, $D ∗$ tag [870]	$− 0.27 ± 0.18 ± 0.01$	$0.20 ± 0.36 ± 0.13$

Tab.5

Fig.32

Data sample	$Δ A C P$ ( $× 10 − 3$ )

0.62 fb⁻¹, $D ∗$ tag [879]	$− 8.2 ± 4.1 ± 0.6$
1.0 fb⁻¹, $B$ tag [880]	$4.9 ± 3.0 ± 1.4$
3.0 fb⁻¹, $B$ tag [871]	$1.4 ± 1.6 ± 0.8$
3.0 fb⁻¹, $D ∗$ tag [872]	$− 1.0 ± 0.8 ± 0.3$
5.9 fb⁻¹, $B$ or $D ∗$ tag [790]	$− 1.54 ± 0.29$

Tab.6

Fig.33

Decay channel	Data sample	Method

$D + → K − K + π +$ [892]	$35 pb − 1$	binned $χ 2$
$D 0 → K − K + π − π +$ [893]	1.0 fb⁻¹, $D ∗$ tag	binned $χ 2$
$D 0 → π − π + π − π +$ [893]	1.0 fb⁻¹, $D ∗$ tag	binned $χ 2$
$D + → π − π + π +$ [894]	1.0 fb⁻¹	binned $χ 2$
$D 0 → K − K + π − π +$ [895]	3.0 fb⁻¹, $B$ tag	binned $χ 2$
$D 0 → π − π + π 0$ [897]	2.0 fb⁻¹, $D ∗$ tag	energy test
$D 0 → π − π + π − π +$ [898]	3.0 fb⁻¹, $D ∗$ tag	energy test
$Λ c + → p h − h +$ [901]	3.0 fb⁻¹	$Δ A C P$
$D 0 → K − K + π − π +$ [891]	3.0 fb⁻¹, $B$ tag	amplitude analysis
$Ξ c + → p K − π +$ [896]	3.0 fb⁻¹	binned $χ 2$

Tab.7

Fig.34

Data sample	Final state(s)	$y C P$ [%]	$A Γ$ ( $× 10 − 3$ )

29 pb⁻¹, $D ∗$ tag [902]	$K + K −$	$0.55 ± 0.63 ± 0.41$	$− 5.9 ± 5.9 ± 2.1$
1.0 fb⁻¹, $D ∗$ tag [903]	$π + π −$	−	$0.33 ± 1.06 ± 0.14$
1.0 fb⁻¹, $D ∗$ tag [903]	$K + K −$	−	$− 0.35 ± 0.62 ± 0.12$
3.0 fb⁻¹, $B$ tag [874]	$π + π −$	−	$− 0.92 ± 2.6 − 0.33 + 0.25$
3.0 fb⁻¹, $B$ tag [874]	$K + K −$	−	$− 1.34 ± 0.77 − 0.34 + 0.26$
3.0 fb⁻¹, $B$ tag [874]	$π + π −$ & $K + K −$	−	$− 1.25 ± 0.73$
3.0 fb⁻¹, $B$ tag [873]	$π + π −$ & $K + K −$	$0.57 ± 0.13 ± 0.09$	−
3.0 fb⁻¹, $D ∗$ tag [875]	$π + π −$	−	$0.46 ± 0, 58 ± 0.12$
3.0 fb⁻¹, $D ∗$ tag [875]	$K + K −$	−	$− 0.30 ± 0.32 ± 0.10$
3.0 fb⁻¹, $D ∗$ tag [875]	$π + π −$ & $K + K −$	−	$− 0.13 ± 2.0 ± 0.7$
5.4 fb⁻¹, $B$ tag [876]	$π + π −$	−	$0.22 ± 0.70 ± 0.08$
5.4 fb⁻¹, $B$ tag [876]	$K + K −$	−	$− 0.43 ± 0.36 ± 0.05$
6 fb⁻¹, $D ∗$ tag [877]	$π + π −$	−	$0.4 ± 0.28 ± 0.04$
6 fb⁻¹, $D ∗$ tag [877]	$K + K −$	−	$0.23 ± 0.15 ± 0.03$
8.4 fb⁻¹, $D ∗$ or $B$ tag [877]	$π + π −$	−	$0.36 ± 0.24 ± 0.04$
8.4 fb⁻¹, $D ∗$ or $B$ tag [877]	$K + K −$	−	$0.03 ± 0.13 ± 0.03$
8.4 fb⁻¹, $D ∗$ or $B$ tag [877]	$π + π −$ & $K + K −$	−	$0.10 ± 0.11 ± 0.03$
6 fb⁻¹, $D ∗$ tag [904]	$π + π −$	$0.657 ± 0.053 ± 0.016$ ¹⁾	−
6 fb⁻¹, $D ∗$ tag [904]	$K + K −$	$0.708 ± 0.030 ± 0.014$ ²⁾	−
6 fb⁻¹, $D ∗$ tag [904]	$π + π −$ & $K + K −$	$0.696 ± 0.026 ± 0.013$ ³⁾	−

Tab.8

Fig.35

Fig.36

Observable	LHCb	LHCb	LHCb	Belle II	ATLAS
Observable	current	(23 fb^-1)	(300 fb^-1)	( $50 ab − 1$ )	& CMS

CKM tests
$γ$ (all modes)	$4 ∘$ [784, 931]	$1.5 ∘$	$0.35 ∘$	$1.5 ∘$	$−$
$γ$ ( $B s 0 → D s + K −$ )	$(− 22 + 17) ∘$	$4 ∘$	$1 ∘$	$−$	$−$
$sin ? 2 β$	0.04 [932]	0.011	0.003	0.005	$−$
$ϕ s$ ( $B s 0 → J / ψ ϕ$ )	49 mrad [933]	14 mrad	4 mrad	−	22 mrad [934]
$ϕ s$ ( $B s 0 → J / ψ ϕ$ )	49 mrad [933]	14 mrad	4 mrad	−	5−6 mrad [935]
$ϕ s$ ( $B s 0 → D s + D s −$ )	170 mrad [825]	35 mrad	9 mrad	$−$	$−$
$ϕ s s s ¯ s$ ( $B s 0 → ϕ ϕ$ )	154 mrad [936]	39 mrad	11 mrad	$−$	feasible [937]
$a s l s$	$33 × 10 − 4$ [938]	$10 × 10 − 4$	$3 × 10 − 4$	$−$	$−$
$\| V u b \| / \| V c b \|$	6% [847]	3%	1%	1%	$−$
Charm
$Δ A C P$	$2.9 × 10 − 4$ [790]	$1.7 × 10 − 4$	$3.0 × 10 − 5$	$5.4 × 10 − 4$	$−$
$A Γ$	$1.3 × 10 − 4$ [877]	$4.2 × 10 − 5$	$1.0 × 10 − 5$	$3.5 × 10 − 4$	$−$
$B (s) 0 → μ + μ −$
$B (B 0 → μ + μ −) B (B s 0 → μ + μ −)$	71% [661, 662]	34%	10%	$−$	21% [939, 940]
$τ B s 0 → μ + μ −$	14% [661, 662]	8%	2%	$−$	$−$
EW penguins
$R K$ ( $B + → K + ℓ + ℓ −$ )	0.044 [703]	0.025	0.007	0.036	$−$
$R K ∗$ ( $B 0 → K ∗ 0 ℓ + ℓ −$ )	0.10 [709]	0.031	0.008	0.032	$−$
LFU tests
$R D ∗$ ( $B 0 → D ∗ − ℓ + ν$ )	0.026 [941, 942]	0.007	0.002	0.005	$−$
$R J / ψ$ ( $B c + → J / ψ ℓ + ν$ )	0.24 [943]	0.07	0.02	$−$	$−$

Tab.9

Fig.37

Fig.38

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