Matching of gauge invariant dimension 6 operators for $b\to s$ and $b\to c$ transitions

Abstract

New physics realized above the electroweak scale can be encoded in a model independent way in the Wilson coefficients of higher dimensional operators which are invariant under the Standard Model gauge group. In this article, we study the matching of the $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y$ gauge invariant dim-6 operators on the standard $B$ physics Hamiltonian relevant for $b\to s$ and $b\to c$ transitions. The matching is performed at the electroweak scale (after spontaneous symmetry breaking) by integrating out the top quark, $W$, $Z$ and the Higgs particle. We first carry out the matching of the dim-6 operators that give a contribution at tree level to the low energy Hamiltonian. In a second step, we identify those gauge invariant operators that do not enter $b\to s$ transitions already at tree level, but can give relevant one-loop matching effects.

33 pages, 3 figures. Eqs. (3.13), (4.24)-(4.26) corrected

References in corpus (30)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• One Leptoquark to Rule Them All: A Minimal Explanation for $R_{D^{(\ast )}}$, $R_K$ and $(g-2{)}_{\mu }$
• On the B to D* tau nu Sensitivity to New Physics
• Updated NNLO QCD predictions for the weak radiative B-meson decays
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Global analysis of $b\to s\ell \ell$ anomalies
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Vector leptoquark resolution of $R_K$ and $R_{D^{(\ast )}}$ puzzles
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• Family non-universal Z' models with protected flavor-changing interactions
• Lepton universality violation and lepton flavor conservation in $B$-meson decays
• Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?
• Global fits to b -> s ll data and signs for lepton non-universality
• Lepton Flavor and Non-Universality from Minimal Composite Higgs Setups
• The $\mu \to e\gamma$ decay in a systematic effective field theory approach with dimension 6 operators
• Improved predictions for $\mu \to e$ conversion in nuclei and Higgs-induced lepton flavor violation
• Shedding light on the $b\to s$ anomalies with a dark sector
• Left-right mixing on leptonic and semileptonic $b\to u$ decays
• Probing anomalous $t\bar{t}Z$ interactions with rare meson decays
• Search for anomalous couplings in the $Wtb$ vertex from the measurement of double differential angular decay rates of single top quarks produced in the $t$-channel with the ATLAS detector
• Studying the $Wtb$ vertex structure using recent LHC results
• New ways to search for right-handed current in B -> rho ell nu decay
• The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)
• Complete Michel Parameter Analysis of inclusive semileptonic b \to c transition
• Next-to-leading-order QCD corrections to $e^{+}{e}^{-}\to H+\gamma$
• Testing the left-handedness of the b \to c transition
• Probing New Physics in Charm Couplings with FCNC

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