The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$

Abstract

We investigate the effects of polarization on several physical observables in the semileptonic decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$. We analyze the polarization effects of the particles involved in the decay, namely ${\Xi }_{cc}^{++}$, ${\Xi }_c^{+}$, and the charged muon $\ell$. Using the form factors obtained from QCD sum rules, we compute the $q^2$-dependent observables including the differential branching ratio, forward-backward asymmetry, and polarization asymmetries for both longitudinal and transverse polarization states. We also define and examine several polarization ratios and discuss correlations among different observables. In addition, we evaluate the lepton flavor universality ratio defined as ${\mathcal{R}}_{{\Xi }_c^{+}}(\mu /e)\equiv \mathcal{D}({\Xi }_{cc}^{++}\to {\Xi }_c^{+}{\mu }^{+}{\nu }_{\mu })/\mathcal{D}({\Xi }_{cc}^{++}\to {\Xi }_c^{+}{e}^{+}{\nu }_e)$ and analyze its behavior over the available dynamical range. Our results show that these observables are quite sensitive to polarization effects, and can provide suitable probes for testing Standard Model predictions.

34 pages, 17 figures; accepted by the Journal of The European Physical Journal C (EPJ C)

References in corpus (49)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Charmed bottom baryon spectroscopy from lattice QCD
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Towards an understanding of heavy baryon spectroscopy
• Weak Decays of Doubly Heavy Baryons: SU(3) Analysis
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Weak Decays of Doubly Heavy Baryons: Multi-body Decay Channels
• Excited State Mass spectra of doubly heavy baryons ${\Omega }_{cc}$, ${\Omega }_{bb}$ and ${\Omega }_{bc}$
• Radiative Decays of the Heavy Flavored Baryons in Light Cone QCD Sum Rules
• Analysis of the $1/2^{-}$ and $3/2^{-}$ heavy and doubly heavy baryon states with QCD sum rules
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Strong and radiative decays of the doubly charmed baryons
• Excited state mass spectra of doubly heavy $\Xi$ baryons
• Probing New Physics with $q^2$ distributions in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Radiative decays of the doubly charmed baryons in chiral perturbation theory
• Minimal unified resolution to $R_{K^{(\ast )}}$ and $R(D^{(\ast )})$ anomalies with lepton mixing
• Doubly heavy baryons in a Salpeter model with AdS/QCD inspired potential
• The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules
• Decay chain information on the newly discovered double charm baryon state ${\Xi }_{cc}^{++}$
• Masses and radiative decay widths of S- and P-wave singly-, doubly- and triply-heavy charm and bottom baryons
• Discerning new physics in charm meson leptonic and semileptonic decays
• Estimates of W-exchange contributions to ${\Xi }_{cc}$ decays
• Search for the doubly heavy baryons ${\Omega }_{bc}^0$ and ${\Xi }_{bc}^0$ decaying to ${\Lambda }_c^{+}{\pi }^{-}$ and ${\Xi }_c^{+}{\pi }^{-}$
• Light-Cone Sum Rules Analysis of ${\Xi }_{Q{Q}^{\prime }q}\to {\Lambda }_{Q^{\prime }}$ Weak Decays
• Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states ${\Xi }_{cc}^{++},{\Xi }_{cc}^{+}$ and ${\Omega }_{cc}^{+}$
• Inclusive approach to hunt for the beauty-charmed baryons ${\Xi }_{bc}$
• Two-body weak decays of doubly charmed baryons
• Investigation of Effects of New Physics in $c\to (s,d){\ell }^{+}{\nu }_{\ell }$ Transitions
• Search for the doubly charmed baryon ${\Xi }_{cc}^{+}$ in the ${\Xi }_c^{+}{\pi }^{-}{\pi }^{+}$ final state
• Novel ideas in nonleptonic decays of double heavy baryons
• Strong coupling constants of doubly heavy baryons with vector mesons in QCD
• Determination of the strong vertices of doubly heavy baryons with pseudoscalar mesons in QCD
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• The mass and residues of radially and orbitally excited doubly heavy baryons in QCD
• Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{(\ast )}$
• Strong $B_{Q{Q}^{\prime }}^{\ast }{B}_{Q{Q}^{\prime }}V$ vertices and the radiative decays of $B_{QQ}^{\ast }\to B_{QQ}\gamma$ in the light-cone sum rules
• Strong interaction of doubly heavy spin-3/2 baryons with light vector mesons
• Observation of $D_s^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$, Precision Test of Lepton Flavor Universality with $D_s^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$, and First Measurements of $D_s^{+}\to {\eta }^{(\prime )}{\mu }^{+}{\nu }_{\mu }$ Decay Dynamics
• Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$
• Strong vertices of doubly heavy spin-3/2--spin-1/2 baryons with light mesons in light-cone QCD sum rules
• Constraining $|V_{cs}|$ and physics beyond the Standard Model from exclusive (semi)leptonic charm decays
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• Probing New Physics in light of recent developments in $b\to c\ell \nu$ transitions
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• Test of lepton flavor universality with measurements of $R(D^{+})$ and $R(D^{\ast +})$ using semileptonic $B$ tagging at the Belle II experiment
• Transition properties of Doubly Heavy Baryons
• Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay
• Analysis of the semileptonic decays ${\Lambda }_b\to {\Lambda }_{c}l{\bar{\nu }}_l$ and ${\Xi }_b\to {\Xi }_{c}l{\bar{\nu }}_l$ in QCD sum rules
• Chirality structure of vector like new physics operators in charged current transitions