The $D^0-{\bar{D}}^0$ mass difference from a dispersion relation

Abstract

We study the Standard Model prediction for the mass difference between the two neutral D meson mass eigenstates, $\Delta m$. We derive a dispersion relation based on heavy quark effective theory that relates $\Delta m$ to an integral of the width difference of heavy mesons, $\Delta \Gamma$, over varying values of the heavy meson mass. Modeling the $m_D$-dependence of certain D decay partial widths, we investigate the effects of SU(3) breaking from phase space on the mass difference. We find that $\Delta m$ may be comparable in magnitude to $\Delta \Gamma$ in the Standard Model.

16 pages

References in corpus (2)

• $D^0-\overline{D^0}$ Mixing and Rare Charm Decays
• Experimental limits on New Physics from charm decay

Cited by in corpus (86)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Flavor Structure of Warped Extra Dimension Models
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• Implications of LHCb measurements and future prospects
• New Physics and CP Violation in Singly Cabibbo Suppressed D Decays
• Evidence for D0-anti-D0 Mixing
• Flavor Physics in the Quark Sector
• Evidence for CP violation in time-integrated D0 -> h-h+ decay rates
• Flavour physics from an approximate U(2)^3 symmetry
• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Implications of D^0-\bar D^0 Mixing for New Physics
• Measurement of D0-D0bar mixing in D0->Ks pi+ pi- decays
• Evidence for D0-D0bar mixing using the CDF II Detector
• Charm Meson Decays
• B, D and K decays
• Measurement of D0-antiD0 mixing parameters using D0 -> K0S pi+ pi- and D0 -> KS0 K+ K- decays
• On the ultimate precision of meson mixing observables
• Large Time-dependent CP Violation in B_s^0 System and Finite D^0-D^0bar Mass Difference in Four Generation Standard Mode
• New Physics contributions to the lifetime difference in D0-anti-D0 mixing
• Relating D0-anti-D0 Mixing and D0 -> l+l- with New Physics
• Time-Independent Measurements of D0-D0bar Mixing and Relative Strong Phases Using Quantum Correlations
• On $D\to X_u{l}^{+}{l}^{-}$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity
• The Effect of $D-\bar{D}$ Mixing on the Measurement of $\gamma$ in $B\to DK$ Decays
• Lessons from Recent Measurements of D-\bar D Mixing
• Observation of the mass difference between neutral charm-meson eigenstates
• TeV Scale Left Right Symmetry and Flavor Changing Neutral Higgs Effects
• Measurement of D0-D0bar Mixing and CP Violation in Two-Body D0 Decays
• Measurement of D0-anti-D0 Mixing using the Ratio of Lifetimes for the Decays D0 --> K-pi+, K-K+, and pi-pi+
• Measurement of D0-D0bar Mixing using the Ratio of Lifetimes for the Decays D0->K-pi+ and K+K-
• CP Violation in D0 - anti-D0 Oscillations: General Considerations and Applications to the Littlest Higgs Model with T-Parity
• Conclusions from CDF Results on CP Violation in D^0 \to π^+π^-, K^+K^- and Future Tasks
• Measurement of D0-D0bar mixing from a time-dependent amplitude analysis of D0 -> K+ pi- pi0 decays
• Short Distance Analysis of D^0-anti-D^0 Mixing
• Littlest Higgs Model with T-Parity Confronting the New Data on D^0-\bar D^0 Mixing
• $D^0$-${\overline{D}}^0$ mixing parameter $y$ in the factorization-assisted topological-amplitude approach
• $D$ meson mixing as an inverse problem
• Long-Distance Contributions to D^0-D^0bar Mixing Parameters
• Mixing and $CP$ violation in the charm system
• Observation of D0-D0bar Mixing using the CDF II Detector
• Dispersive and Absorptive CP Violation in $D^0-\overline{D^0}$ Mixing
• Lessons from BaBar and Belle measurements of D-Dbar mixing parameters
• Improved search for D^0 mixing using semileptonic decays at Belle
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• Light Colored Scalar as Messenger of Up-Quark Flavor Dynamics in Grand Unified Theories
• Observation of $D^0-{\bar{D}}^0$ Mixing in $e^{+}{e}^{-}$ Collisions
• Search for D^0-\bar{D^0} mixing using semileptonic decays at Belle
• Manifestations of Warped Extra Dimension in Rare Charm Decays and Asymmetries
• Charming Dark Matter
• A gauged horizontal $SU(2)$ symmetry and $R_{K^{(\ast )}}$
• Flavour Theory: 2009
• Renormalisation scale setting for D-mixing
• Flavor signatures of isosinglet vector-like down quark model
• A Lower Bound on hadronic EDMs from CP Violation in D0-D0bar mixing in SUSY Alignment Models
• Measurement of $y_{CP}$ in $D^0$ meson decays to the $K_S^0{K}^{+}{K}^{-}$ final state
• D-\bar D mixing and rare D decays in the Littlest Higgs model with non-unitarity matrix
• Search for D^0-D^0bar mixing in D^0 -> K+pi- decays and measurement of the doubly-Cabibbo-suppressed decay rate
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• Search for D0--anti-D0 Mixing and Branching-Ratio Measurement in the Decay D0 --> K+ pi- pi0
• Revisiting D0-D0bar mixing using U-spin
• Dispersive analysis of neutral meson mixing
• Future prospects of B physics
• Search for CP Violation in the Decays $D^0\to K_S^0{P}^0$
• Impact of colored scalars on $D^0-{\bar{D}}^0$ mixing in diquark models
• Implication of the D^0 Width Difference On CP-Violation in D^0-\bar D^0 Mixing
• Observation of CP violation in $D^0\to K^{-}{\pi }^{+}$ as a smoking gun for New Physics
• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• SUSY R-parity violating contributions to the width differences for $D-\bar{D}$ and $B_{d,s}-{\bar{B}}_{d,s}$ systems
• Dispersive constraints on fermion masses
• Mixing and CP-violation in charm
• Lifetime difference in D^0 - \bar{D^0} mixing within R-parity-violating SUSY
• Composite Dark Matter and a horizontal symmetry
• Search for TeV Scale Physics in Heavy Flavour Decays
• Charm Physics at the Super $\tau$-Charm Factory
• Recent advances in charm mixing and $CP$ violation at LHCb
• Selected Topics in Heavy Flavour Physics
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Nonuniversality of indirect CP asymmetries in $D\to \pi \pi ,KK$ decays
• Charm Meson Mixing: An Experimental Review
• A simulation study on the measurement of D0-D0bar mixing parameter y at BES-III
• Flavour Physics in the Littlest Higgs Model with T-Parity: Effects in the K, B_d/s and D systems
• Recent charm mixing results from BABAR, Belle, and CDF
• D-Meson Mixing in 2+1-Flavor Lattice QCD
• CKM studies in the charm sector
• Mixing and CP-violation studies in charm decays at LHCb
• "I Know She Invented Fire, but What Has She Done Recently?" or "I Have Come to Praise Ch., not Bury Her!" or `On the Second Renaissance of Charm Physics'