R D * $$ {R}_{D^{\left(*\right)}} $$ in custodial warped space

Marcela Carena (Fermi National Accelerator Laboratory, Batavia, IL, 60510, U.S.A.; Enrico Fermi Institute and Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL, 60637, U.S.A.) ; Eugenio Megías (Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Avenida de Fuente Nueva s/n, Granada, 18071, Spain) ; Mariano Quirós (Institut de Física d’Altes Energies (IFAE) and BIST, Campus UAB, Bellaterra, Barcelona, 08193, Spain; Department of Physics, University of Notre Dame, 225 Nieuwland Hall, Notre Dame, IN, 46556, U.S.A.) ; Carlos Wagner (Enrico Fermi Institute and Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL, 60637, U.S.A.; HEP Division, Argonne National Laboratory, 9700 Cass Ave., Argonne, IL, 60439, U.S.A.)

Flavor physics experiments allow to probe the accuracy of the Standard Model (SM) description at low energies, and are sensitive to new heavy gauge bosons that couple to quarks and leptons in a relevant way. The apparent anomaly in the ratios of the decay of B-mesons into D-mesons and different lepton flavors, R D * = B D τ ν / B D ν $$ {R}_{D^{\left(*\right)}}=\mathrm{\mathcal{B}}\left(B\to {D}^{\left(\ast \right)}\tau \nu \right)/\mathrm{\mathcal{B}}\left(B\to {D}^{\left(\ast \right)}\ell \nu \right) $$ is particularly intriguing, since these decay processes occur at tree-level in the SM. Recently, it has been suggested that this anomaly may be explained by new gauge bosons coupled to right-handed currents of quarks and leptons, involving light right-handed neutrinos. In this work we present a well-motivated ultraviolet complete realization of this idea, embedding the SM in a warped space with an SU(2) L ⊗ SU(2) R ⊗ U(1) B − L bulk gauge symmetry. Besides providing a solution to the hierarchy problem, we show that this model, which has an explicit custodial symmetry, can explain the R D * $$ {R}_{D^{\left(*\right)}} $$ anomaly and at the same time allow for a solution to the R K * $$ {R}_{K^{\left(*\right)}} $$ anomalies, related to the decay of B-mesons into K-mesons and leptons, R K * = B K μ μ / B K e e $$ {R}_{K^{\left(*\right)}}=\mathrm{\mathcal{B}}\left(B\to {K}^{\left(\ast \right)}\mu \mu \right)/\mathrm{\mathcal{B}}\left(B\to {K}^{\left(\ast \right)}ee\right) $$ . In addition, a model prediction is an anomalous value of the forward-backward asymmetry A FB b , driven by the Z b ¯ R b R $$ Z{\overline{b}}_R{b}_R $$ coupling, in agreement with LEP data.

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      "source": "Springer", 
      "value": "Flavor physics experiments allow to probe the accuracy of the Standard Model (SM) description at low energies, and are sensitive to new heavy gauge bosons that couple to quarks and leptons in a relevant way. The apparent anomaly in the ratios of the decay of B-mesons into D-mesons and different lepton flavors,   <math> <msub> <mi>R</mi> <msup> <mi>D</mi> <mfenced> <mo>*</mo> </mfenced> </msup> </msub> <mo>=</mo> <mi>\u212c</mi> <mfenced> <mrow> <mi>B</mi> <mo>\u2192</mo> <msup> <mi>D</mi> <mfenced> <mo>\u2217</mo> </mfenced> </msup> <mi>\u03c4</mi> <mi>\u03bd</mi> </mrow> </mfenced> <mo>/</mo> <mi>\u212c</mi> <mfenced> <mrow> <mi>B</mi> <mo>\u2192</mo> <msup> <mi>D</mi> <mfenced> <mo>\u2217</mo> </mfenced> </msup> <mi>\u2113</mi> <mi>\u03bd</mi> </mrow> </mfenced> </math>  $$ {R}_{D^{\\left(*\\right)}}=\\mathrm{\\mathcal{B}}\\left(B\\to {D}^{\\left(\\ast \\right)}\\tau \\nu \\right)/\\mathrm{\\mathcal{B}}\\left(B\\to {D}^{\\left(\\ast \\right)}\\ell \\nu \\right) $$  is particularly intriguing, since these decay processes occur at tree-level in the SM. Recently, it has been suggested that this anomaly may be explained by new gauge bosons coupled to right-handed currents of quarks and leptons, involving light right-handed neutrinos. In this work we present a well-motivated ultraviolet complete realization of this idea, embedding the SM in a warped space with an SU(2) L  \u2297 SU(2) R  \u2297 U(1) B \u2212 L  bulk gauge symmetry. Besides providing a solution to the hierarchy problem, we show that this model, which has an explicit custodial symmetry, can explain the   <math> <msub> <mi>R</mi> <msup> <mi>D</mi> <mfenced> <mo>*</mo> </mfenced> </msup> </msub> </math>  $$ {R}_{D^{\\left(*\\right)}} $$  anomaly and at the same time allow for a solution to the   <math> <msub> <mi>R</mi> <msup> <mi>K</mi> <mfenced> <mo>*</mo> </mfenced> </msup> </msub> </math>  $$ {R}_{K^{\\left(*\\right)}} $$  anomalies, related to the decay of B-mesons into K-mesons and leptons,   <math> <msub> <mi>R</mi> <msup> <mi>K</mi> <mfenced> <mo>*</mo> </mfenced> </msup> </msub> <mo>=</mo> <mi>\u212c</mi> <mfenced> <mrow> <mi>B</mi> <mo>\u2192</mo> <msup> <mi>K</mi> <mfenced> <mo>\u2217</mo> </mfenced> </msup> <mi>\u03bc</mi> <mi>\u03bc</mi> </mrow> </mfenced> <mo>/</mo> <mi>\u212c</mi> <mfenced> <mrow> <mi>B</mi> <mo>\u2192</mo> <msup> <mi>K</mi> <mfenced> <mo>\u2217</mo> </mfenced> </msup> <mi>e</mi> <mi>e</mi> </mrow> </mfenced> </math>  $$ {R}_{K^{\\left(*\\right)}}=\\mathrm{\\mathcal{B}}\\left(B\\to {K}^{\\left(\\ast \\right)}\\mu \\mu \\right)/\\mathrm{\\mathcal{B}}\\left(B\\to {K}^{\\left(\\ast \\right)}ee\\right) $$ . In addition, a model prediction is an anomalous value of the forward-backward asymmetry A  FB  b  , driven by the   <math> <mi>Z</mi> <msub> <mover> <mi>b</mi> <mo>\u00af</mo> </mover> <mi>R</mi> </msub> <msub> <mi>b</mi> <mi>R</mi> </msub> </math>  $$ Z{\\overline{b}}_R{b}_R $$  coupling, in agreement with LEP data."
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Published on:
14 June 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2018 (2019)
Issue 12
Pages 1-37
DOI:
https://doi.org/10.1007/JHEP12(2018)043
arXiv:
1809.01107
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: