Angular Analysis of $D^0 \to \pi^+\pi^-\mu^+\mu^-$ and $D^0 \to K^+K^-\mu^+\mu^-$ Decays and Search for $CP$ Violation

decays are reported. The analysis uses proton-proton collision data collected with the LHCb detector at center-of-mass energies of 7, 8, and 13 TeV. The dataset corresponds to an integrated luminosity of

9 {fb}^{- 1}

. The full set of

C P

-averaged angular observables and their

C P

asymmetries are measured as a function of the dimuon invariant mass. The results are consistent with expectations from the standard model and with

C P

symmetry.

Note:

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2021-035.html (LHCb public pages)

p p: scattering
p p: colliding beams
D0: semileptonic decay
muon: pair production
pi: pair production
K: pair production
asymmetry: CP
CP: violation
dimuon: mass spectrum
mass spectrum: (muon+ muon-)

References(47)

Figures(5)

[1]

Branching Fraction Measurements of the Rare $B^0_s\rightarrow\phi\mu^+\mu^-$ and $B^0_s\rightarrow f_2^\prime(1525)\mu^+\mu^-$ - Decays

LHCb

Collaboration

•

Roel Aaij
(
- Nikhef, Amsterdam
)

et al.

- Phys.Rev.Lett. 127 (2021) 15, 151801
•
e-Print:
- 2105.14007
•
DOI:
- 10.1103/PhysRevLett.127.151801

[2]

Test of lepton universality in beauty-quark decays

LHCb

Collaboration

•

Roel Aaij
(
- NIKHEF, Amsterdam
)

et al.

- Nature Phys. 18 (2022) 3, 277-282,
- Nature Phys. 19 (2023) 10, 1517 (addendum)
•
e-Print:
- 2103.11769
•
DOI:
- 10.1038/s41567-023-02095-3

[3]

Measurement of $CP$ -Averaged Observables in the $B^{0}\rightarrow K^{*0}\mu^{+}\mu^{-}$ Decay

LHCb

Collaboration

•

Roel Aaij
(
- NIKHEF, Amsterdam
)

et al.

- Phys.Rev.Lett. 125 (2020) 1, 011802
•
e-Print:
- 2003.04831
•
DOI:
- 10.1103/PhysRevLett.125.011802

[4]

Weak Interactions with Lepton-Hadron Symmetry

- Phys.Rev.D 2 (1970) 1285-1292,
- Also in *Lai, C. H. (ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 203-210,
- In *Rosner, J.L. (ed.): New Particles*, 18-25,
- In *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 193-200.,
- In *Bologna 1984, Proceedings, Fifty Years of Weak-Interaction Physics* 687-694
•
DOI:
- 10.1103/PhysRevD.2.1285

[5]

On $D\to X_u l^+ l^-$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity

Ayan Paul
(
- Notre Dame U.
)
,
Ikaros I. Bigi
(
- Notre Dame U.
)
,
Stefan Recksiegel
(
- Munich, Tech. U.
)

- Phys.Rev.D 83 (2011) 114006
•
e-Print:
- 1101.6053
•
DOI:
- 10.1103/PhysRevD.83.114006

[6]

Updated constraints on new physics in rare charm decays

Svjetlana Fajfer
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Nejc Kosnik
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Sasa Prelovsek
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)

- Phys.Rev.D 76 (2007) 074010
•
e-Print:
- 0706.1133
•
DOI:
- 10.1103/PhysRevD.76.074010

[7]

Standard Model prediction and new physics tests for $D^0 \to h^+ h^- \ell^+ \ell^- (h=\pi,K: \ell=e,\mu)$

Luigi Cappiello
(
- Naples U. and
- INFN, Naples
)
,
Oscar Cata
(
- Munich U., ASC and
- Munich U.
)
,
Giancarlo D'Ambrosio
(
- INFN, Naples
)

- JHEP 04 (2013) 135
•
e-Print:
- 1209.4235
•
DOI:
- 10.1007/JHEP04(2013)135

[8]

Null tests from angular distributions in $D \to P_1 P_2 l^+l^-$ , $l=e,\mu$ decays on and off peak

Stefan De Boer
(
- KIT, Karlsruhe, TTP
)
,
Gudrun Hiller
(
- Dortmund U.
)

- Phys.Rev.D 98 (2018) 3, 035041
•
e-Print:
- 1805.08516
•
DOI:
- 10.1103/PhysRevD.98.035041

[9]

Effects of littlest Higgs model in rare D meson decays

Svjetlana Fajfer
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Sasa Prelovsek
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)

- Phys.Rev.D 73 (2006) 054026
•
e-Print:
- hep-ph/0511048
•
DOI:
- 10.1103/PhysRevD.73.054026

[10]

On CP Asymmetries in Two-, Three- and Four-Body D Decays

Ikaros I. Bigi
(
- Notre Dame U.
)
,
Ayan Paul
(
- Notre Dame U.
)

- JHEP 03 (2012) 021
•
e-Print:
- 1110.2862
•
DOI:
- 10.1007/JHEP03(2012)021

[11]

Manifestations of warped extra dimension in rare charm decays and asymmetries

- Phys.Rev.D 90 (2014) 1, 014035
•
e-Print:
- 1212.4849
•
DOI:
- 10.1103/PhysRevD.90.014035

[12]

Resonance catalyzed CP asymmetries in D→Pℓ $^+$ ℓ $^-$

Svjetlana Fajfer
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Nejc Košnik
(
- Orsay, LAL and
- Stefan Inst., Ljubljana
)

- Phys.Rev.D 87 (2013) 5, 054026
•
e-Print:
- 1208.0759
•
DOI:
- 10.1103/PhysRevD.87.054026

[13]

Prospects of discovering new physics in rare charm decays

Svjetlana Fajfer
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Nejc Košnik
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)

- Eur.Phys.J.C 75 (2015) 12, 567
•
e-Print:
- 1510.00965
•
DOI:
- 10.1140/epjc/s10052-015-3801-2

[14]

Flavor and new physics opportunities with rare charm decays into leptons

- Phys.Rev.D 93 (2016) 7, 074001
•
e-Print:
- 1510.00311
•
DOI:
- 10.1103/PhysRevD.93.074001

[15]

Theoretical and experimental status of rare charm decays

- Mod.Phys.Lett.A 36 (2021) 04, 2130002
•
e-Print:
- 2011.09478
•
DOI:
- 10.1142/S0217732321300020

[16]

The new physics reach of null tests with $D \rightarrow \pi \ell \ell$ and $D_s \rightarrow K \ell \ell$ decays

- Eur.Phys.J.C 80 (2020) 1, 65,
- Eur.Phys.J.C 81 (2021) 3, 219 (erratum)
•
e-Print:
- 1909.11108
•
DOI:
- 10.1140/epjc/s10052-020-7621-7

[16]

The new physics reach of null tests with $D \rightarrow \pi \ell \ell$ and $D_s \rightarrow K \ell \ell$ decays

- Eur.Phys.J.C 80 (2020) 1, 65,
- Eur.Phys.J.C 81 (2021) 3, 219 (erratum)
•
e-Print:
- 1909.11108
•
DOI:
- 10.1140/epjc/s10052-020-7621-7

[17]

Exploiting $CP$ -asymmetries in rare charm decays

- Phys.Rev.D 101 (2020) 11, 115006
•
e-Print:
- 2004.01206
•
DOI:
- 10.1103/PhysRevD.101.115006

[18]

Disentangling QCD and new physics in $D^+\to\pi^+\ell^+\ell^-$

Aoife Bharucha
(
- Marseille, CPT
)
,
Diogo Boito
(
- Sao Paulo U., Sao Carlos
)
,
Cédric Méaux
(
- Marseille, CPPM
)

- JHEP 04 (2021) 158
•
e-Print:
- 2011.12856
•
DOI:
- 10.1007/JHEP04(2021)158

[19]

Observation of $D^0$ meson decays to $\pi^+\pi^-\mu^+\mu^-$ and $K^+K^-\mu^+\mu^-$ final states

LHCb

Collaboration

•

Roel Aaij
(
- CERN
)

et al.

- Phys.Rev.Lett. 119 (2017) 18, 181805
•
e-Print:
- 1707.08377
•
DOI:
- 10.1103/PhysRevLett.119.181805

[20]

Measurement of Angular and CP Asymmetries in $D^0\to\pi^+\pi^-\mu^+\mu^-$ and $D^0\to K^+K^-\mu^+\mu^-$ decays

LHCb

Collaboration

•

Roel Aaij
(
- NIKHEF, Amsterdam
)

et al.

- Phys.Rev.Lett. 121 (2018) 9, 091801
•
e-Print:
- 1806.10793
•
DOI:
- 10.1103/PhysRevLett.121.091801

[21]

See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.128.221801 for an explicit definition of the phase-space variables, all angular and CP -violating observables, their measured values and correlations in tabular form

[22]