Impact of Warped Extra Dimensions on the Dipole Coefficients in b→sγ\boldsymbol{b\to s\gamma} Transitions

We calculate the electro- and chromomagnetic dipole coefficients $C_{7\gamma,8g}$ and $\tilde C_{7\gamma,8g}$ in the context of the minimal Randall-Sundrum (RS) model with a Higgs sector localized on the IR brane using the five-dimensional (5D) approach, where the coefficients are expressed in terms of integrals over 5D propagators. Since we keep the full dependence on the Yukawa matrices, the integral expressions are formally valid to all orders in $v^2/M_{\rm KK}^2$. In addition we relate our results to the expressions obtained in the Kaluza-Klein (KK) decomposed theory and show the consistency in both pictures analytically and numerically, which presents a non-trivial cross-check. In Feynman-'t Hooft gauge, the dominant corrections from virtual KK modes arise from the scalar parts of the $W^\pm$-boson penguin diagrams, including the contributions from the scalar component of the 5D gauge-boson field and from the charged Goldstone bosons in the Higgs sector. The size of the KK corrections depends on the parameter $y_\ast$, which sets the upper bound for the anarchic 5D Yukawa matrices. We find that for $y_\ast\gtrsim1$ the dominant KK corrections are proportional to $y_\ast^2$. We discuss the phenomenological implications of our results for the branching ratio ${\rm Br}(\bar B\to X_s\gamma)$, the time-dependent CP asymmetry $S_{K^*\gamma}$, the direct CP asymmetry $A_{\rm CP}^{b\to s\gamma}$ and the CP asymmetry difference $\Delta A_{\rm CP}^{b\to s\gamma}$. We can derive a lower bound on the first KK gluon resonance of $3.8\,$TeV for $y_\ast=3$, requiring that at least $10\%$ of the RS parameter space covers the experimental $2\sigma$ error margins. We further discuss the branching ratio ${\rm Br}(\bar B\to X_sl^+l^-)$ and compare our predictions for $C_{7\gamma,9,10}$ and $\tilde C_{7\gamma,9,10}$ with phenomenological results derived from model-independent analyses.Comment: 44 pages plus appendix, 10 figures, added equations (58) and (61

Higgs Couplings and Phenomenology in a Warped Extra Dimension

We present a comprehensive description of the Higgs-boson couplings to Standard Model fermions and bosons in Randall-Sundrum (RS) models with a Higgs sector localized on or near the infra-red brane. The analytic results for all relevant Higgs couplings including the loop-induced couplings to gluons and photons are summarized for both the minimal and the custodial RS model. The RS predictions for all relevant Higgs decays are compared with current LHC data, which already exclude significant portions of the parameter space. We show that the latest measurements are sensitive to KK gluon masses up to $20\, \rm{TeV} \times (y_*/3)$ at $95\%$ confidence level for anarchic 5D Yukawa couplings bounded from above by $|(Y_f)_{ij}| < y_*$. We also derive the sensitivity levels attainable in the high-luminosity run of the LHC and at a future linear collider.Comment: 28 pages plus appendix, 9 figures; equation (52) corrected, references update

5D Perspective on Higgs Production at the Boundary of a Warped Extra Dimension

A comprehensive, five-dimensional calculation of Higgs-boson production in gluon fusion is performed for both the minimal and the custodially protected Randall-Sundrum (RS) model, with Standard Model fields propagating in the bulk and the scalar sector confined on or near the IR brane. For the first time, an exact expression for the gg->h amplitude in terms of the five-dimensional fermion propagator is derived, which includes the full dependence on the Higgs-boson mass. Various results in the literature are reconciled and shown to correspond to different incarnations of the RS model, in which the Higgs field is either localized on the IR brane or is described in terms of a narrow bulk state. The results in the two scenarios differ in a qualitative way: the gg->h amplitude is suppressed in models where the scalar sector is localized on the IR brane, while it tends to be enhanced in bulk Higgs models. In both cases, effects of higher-dimensional operators contributing to the gg->h amplitude at tree level are shown to be numerically suppressed under reasonable assumptions. There is no smooth cross-over between the two scenarios, since the effective field-theory description breaks down in the transition region. A detailed phenomenological analysis of Higgs production in various RS scenarios is presented, and for each scenario the regions of parameter space already excluded by LHC data are derived.Comment: 44 pages (plus appendices), 6 figures; several improvements of the discussion, new section estimating the effects of brane-localized higher-dimensional operator

Higgs Decay into Two Photons at the Boundary of a Warped Extra Dimension

A detailed five-dimensional calculation of the Higgs-boson decay into two photons is performed in both the minimal and the custodially protected Randall-Sundrum (RS) model, where the Standard Model (SM) fields propagate in the bulk and the scalar sector lives on or near the IR brane. It is explicitly shown that the $R_\xi$ gauge invariance of the sum of diagrams involving bosonic fields in the SM also applies to the case of these RS scenarios. An exact expression for the $h\to\gamma\gamma$ amplitude in terms of the five-dimensional (5D) gauge-boson and fermion propagators is presented, which includes the full dependence on the Higgs-boson mass. Closed expressions for the 5D $W$-boson propagators in the minimal and the custodial RS model are derived, which are valid to all orders in $v^2/M_\textrm{KK}^2$. In contrast to the fermion case, the result for the bosonic contributions to the $h\to\gamma\gamma$ amplitude is insensitive to the details of the localization of the Higgs profile on or near the IR brane. The various RS predictions for the rate of the $pp\to h\to\gamma\gamma$ process are compared with the latest LHC data, and exclusion regions for the RS model parameters are derived.Comment: 30 pages (plus appendices), 4 figures (V2: several improvements of the discussion, discussion of the lepton sector added, typos corrected, references added

Five-dimensional perspective on Higgs physics and the b to s gamma transition in a warped extra dimension

This thesis studies the Higgs-boson production and decay processes as well as the flavor-changing neutral current b to s gamma in models with one warped extra dimension, where the gauge bosons and fermions propagate into the bulk and the Higgs sector is localized on or near the infra-red brane. These so-called Randall-Sundrum models present attractive scenarios beyond the Standard Model of particle physics that can address the disparity between the electroweak and the Planck scale. Furthermore, these models provide a natural explanation for the hierarchical pattern observed in the flavor sector and the smallness of flavor-changing neutral currents.Die vorliegende Arbeit befasst sich mit den Produktions- und Zerfallsprozessen des Higgs-Bosons sowie dem Flavor-ändernden neutralen Strom b nach s gamma in Modellen mit einer gekrümmten Extradimension, in denen die Eichbosonen und Fermionen im Bulk propagieren, während der Higgs-Sektor auf oder nahe der infraroten Brane lokalisiert ist. Diese sogenannten Randall-Sundrum Modelle stellen vielversprechende Szenarien dar, die über die Physik des Standardmodells hinausgehen und den Größenunterschied zwischen der elektroschwachen und der Planck Skala erklären können. Weiterhin bieten diese Modelle eine natürliche Erklärung für das hierarchische Muster im Flavor-Sektor und für die Unterdrückung von Flavor-ändernden neutralen Strömen

A Solution to the Flavor Problem of Warped Extra-Dimension Models

A minimal solution to the flavor problem of warped extra-dimension models, i.e. the excessive mixed-chirality contribution to CP violation in K-Kbar mixing arising from Kaluza-Klein (KK) gluon exchange, is proposed. Extending the strong-interaction gauge group in the bulk by an additional SU(3), and breaking this symmetry to QCD via boundary conditions, the constraints arising from the epsilon_K parameter are significantly relaxed. As a result, KK scales M_KK ~ 2 TeV are consistent with all flavor observables without significant fine-tuning. The model predicts the existence of an extended Higgs sector featuring massive color-octet scalars and a tower of KK pseudo-axial gluon resonances, whose existence is not in conflict with recent LHC dijet bounds.Comment: Added discussion of the extended scalar sector and its impact on the choice of boundary conditions. Corrected the Wilson coeffcients in (12) by a symmetry factor of 1/2 and updated the plots in Figure 2 with improved fitting functions. Main conclusions unchange