Failure of JoAnne's Global Fit to the Wilson Coefficients in Rare B Decays: A Left-Right Model Example

Abstract

In the Standard Model and many of its extensions, it is well known that all of the observables associated with the rare decays $b\to s\gamma$ and $b\to s{\ell }^{+}{\ell }^{-}$ can be expressed in terms of the three Wilson coefficients, $C_{7L,9L,10L}(\mu \sim m_b)$, together with several universal kinematic functions. In particular it has been shown that the numerical values of these coefficients can be uniquely extracted by a three parameter global fit to data obtainable at future $B$-factories given sufficient integrated luminosity. In this paper we examine if such global fits are also sensitive to new operators beyond those which correspond to the above coefficients, i.e., whether is it possible that new operators can be of sufficient importance for the three parameter fit to fail and for this to be experimentally observable. Using the Left-Right Symmetric Model as an example of a scenario with an extended operator basis, we demonstrate via Monte Carlo techniques that such a possibility can indeed be realized. In some sense this potential failure of the global fit approach can actually be one of its greatest successes in identifying the existence of new physics.

30 pages, 6 figures

References in corpus (14)

• Corrections of Order ${\Lambda }_{QCD}^2/m_c^2$ to Inclusive Rare B Decays
• Search for New Particles Decaying to Dijets at CDF
• Two-loop matching of the dipole operators for $b\to s\gamma$ and $b\to sgluon$
• Elementary derivation of a recently proposed integral representation for permanents
• Two-loop QCD corrections to charged-Higgs-mediated $b\to s\gamma$ decay
• QCD estimate of the long-distance effect in $B\to K^{\ast }\gamma$
• Comment on nonperturbative effects in $B\to X_s\gamma$
• On the Scale Uncertainties in the $B\to X_s\gamma$ Decay
• Next-To-Leading-Order Matching for the Magnetic Photon-Penguin Operator in the $B\to X_s\gamma$ Decay
• Comment On Nonperturbative O(1/m_c^2) Corrections to B -> X_s gamma
• Search for Inclusive $b\to sl^{+]l^{-}$
• Two Higgs Doublet Model and Lepton Polarization in the B -> K tau+ tau- Decay
• Bound on V+A admixture in the b -> c current from inclusive vs. exclusive semileptonic decays of B mesons
• Right-Handed b to c and u Coupling Model and CP Violation

Cited by in corpus (15)

• Global Analysis of General SU(2) x SU(2) x U(1) Models with Precision Data
• A Systematic Analysis of the Lepton Polarization Asymmetries in the Rare B Decay, B -> X_sτ^+τ^-
• A Model Independent Analysis of the Rare B Decay B -> X_s l^+ l^-
• A Systematic Analysis of the Exclusive B -> K^* l^+ l^- Decay
• Left-right mixing on leptonic and semileptonic $b\to u$ decays
• Lepton Polarization and Forward-Backward Asymmetries in b -> s tau+ tau-
• Looking for Novel CP-Violating Effects in B->K^*l^+l^-
• New physics effects to the lepton polarizations in the B -> K l^+ l^- decay
• Nonperturbative corrections to moments of the decay B -> X_s l^+ l^-
• Flavour-Conserving CP Phases in Supersymmetry and Implications for Exclusive B Decays
• Rare B -> K^* (nu) bar(nu) decay beyond standard model
• Testing quark mass matrices with right-handed mixings
• Rare B_s -> γν\barν decay with polarized photon and new physics effects
• CP Asymmetry of $B\to X_s{l}^{+}{l}^{-}$ in Low Invariant Mass Region
• Right-handed current contributions in B -> K pi decays