Abstract
A vector leptoquark at the TeV scale, mostly coupled to the fermions of the third generation, is the preferred option to explain the hints of lepton flavor universality violation in the decays of B-mesons. It seems interesting to assume that this leptoquark belongs to the same beyond the Standard Model sector that solves the hierarchy prob- lem, since the third generation of fermions play the leading role in the instability of the Higgs potential. We present a composite Grand Unified Theory with resonances at the TeV that contains the required vector leptoquark and develops the Higgs as a pseudo Nambu-Goldstone boson. We show that anarchic partial compositeness of the Standard Model fermions can accommodate the couplings of Left-handed currents required by the B-anomalies, predicting very small couplings to the Right-handed currents without any additional hypothesis. By making use of an effective theory description of the strong dy- namics, in terms of weakly coupled resonances, we are able to compute the corrections to B-physics, as well as the one-loop potential for the pseudo Nambu-Goldstone bosons. The theory has a rich phenomenology and a candidate for dark matter.
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References
BaBar collaboration, Measurement of an Excess of \( \overline{B}\to {D}^{\left(\ast \right)}{\tau}^{-}{\overline{\nu}}_{\tau } \)Decays and Implications for Charged Higgs Bosons, Phys. Rev.D 88 (2013) 072012 [arXiv:1303.0571] [INSPIRE].
LHCb collaboration, Measurement of the ratio of branching fractions \( \mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\tau}^{-}{\overline{\nu}}_{\tau}\right)/\mathcal{B}\left({\overline{B}}^0\to {D}^{\ast +}{\mu}^{-}{\overline{\nu}}_{\mu}\right), \)Phys. Rev. Lett.115 (2015) 111803 [Erratum ibid.115 (2015) 159901] [arXiv:1506.08614] [INSPIRE].
Belle collaboration, Measurement of the τ lepton polarization and R(D ∗) in the decay \( \overline{B}\to {D}^{\ast }{\tau}^{-}{\overline{\nu}}_{\tau } \), Phys. Rev. Lett.118 (2017) 211801 [arXiv:1612.00529] [INSPIRE].
LHCb collaboration, Test of Lepton Flavor Universality by the measurement of the B 0 → D ∗−τ +ν τbranching fraction using three-prong τ decays, Phys. Rev.D 97 (2018) 072013 [arXiv:1711.02505] [INSPIRE].
Belle collaboration, Measurement of R(D) and R(D ∗) with a semileptonic tagging method, arXiv:1904.08794 [INSPIRE].
LHCb collaboration, Test of lepton universality using B +→ K + ℓ+ ℓ −decays, Phys. Rev. Lett.113 (2014) 151601 [arXiv:1406.6482] [INSPIRE].
LHCb collaboration, Test of lepton universality with B 0→ K ∗0 ℓ + ℓ −decays, JHEP08 (2017) 055 [arXiv:1705.05802] [INSPIRE].
LHCb collaboration, Search for lepton-universality violation in B +→ K + ℓ + ℓ −decays, Phys. Rev. Lett.122 (2019) 191801 [arXiv:1903.09252] [INSPIRE].
Belle collaboration, Test of lepton flavor universality in B → K ∗ ℓ + ℓ −decays at Belle, arXiv:1904.02440 [INSPIRE].
I. Doršner, S. Fajfer, A. Greljo, J.F. Kamenik and N. Košnik, Physics of leptoquarks in precision experiments and at particle colliders, Phys. Rept.641 (2016) 1 [arXiv:1603.04993] [INSPIRE].
R. Alonso, B. Grinstein and J. Martin Camalich, Lepton universality violation and lepton flavor conservation in B-meson decays, JHEP10 (2015) 184 [arXiv:1505.05164] [INSPIRE].
L. Calibbi, A. Crivellin and T. Ota, Effective Field Theory Approach to \( b\to s\ell {\ell}^{\left(\prime \right)},B\to {K}^{\left(\ast \right)}\nu \overline{\nu} \)and B → D (∗)τ ν with Third Generation Couplings, Phys. Rev. Lett.115 (2015) 181801 [arXiv:1506.02661] [INSPIRE].
S. Fajfer and N. Košnik, Vector leptoquark resolution of R Kand R D(∗)puzzles, Phys. Lett.B 755 (2016) 270 [arXiv:1511.06024] [INSPIRE].
R. Barbieri, G. Isidori, A. Pattori and F. Senia, Anomalies in B-decays and U(2) flavour symmetry, Eur. Phys. J.C 76 (2016) 67 [arXiv:1512.01560] [INSPIRE].
G. Hiller, D. Loose and K. Sch¨onwald, Leptoquark Flavor Patterns & B Decay Anomalies, JHEP12 (2016) 027 [arXiv:1609.08895] [INSPIRE].
B. Bhattacharya, A. Datta, J.-P. Guévin, D. London and R. Watanabe, Simultaneous Explanation of the RK and R D(∗)Puzzles: a Model Analysis, JHEP01 (2017) 015 [arXiv:1609.09078] [INSPIRE].
D. Buttazzo, A. Greljo, G. Isidori and D. Marzocca, B-physics anomalies: a guide to combined explanations, JHEP11 (2017) 044 [arXiv:1706.07808] [INSPIRE].
N. Assad, B. Fornal and B. Grinstein, Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models, Phys. Lett.B 777 (2018) 324 [arXiv:1708.06350] [INSPIRE].
L. Di Luzio, A. Greljo and M. Nardecchia, Gauge leptoquark as the origin of B-physics anomalies, Phys. Rev.D 96 (2017) 115011 [arXiv:1708.08450] [INSPIRE].
L. Calibbi, A. Crivellin and T. Li, Model of vector leptoquarks in view of the B-physics anomalies, Phys. Rev.D 98 (2018) 115002 [arXiv:1709.00692] [INSPIRE].
M. Bordone, C. Cornella, J. Fuentes-Martin and G. Isidori, A three-site gauge model for flavor hierarchies and flavor anomalies, Phys. Lett.B 779 (2018) 317 [arXiv:1712.01368] [INSPIRE].
R. Barbieri and A. Tesi, B-decay anomalies in Pati-Salam SU(4), Eur. Phys. J.C 78 (2018) 193 [arXiv:1712.06844] [INSPIRE].
M. Blanke and A. Crivellin, B Meson Anomalies in a Pati-Salam Model within the Randall-Sundrum Background, Phys. Rev. Lett.121 (2018) 011801 [arXiv:1801.07256] [INSPIRE].
A. Greljo and B.A. Stefanek, Third family quark-lepton unification at the TeV scale, Phys. Lett.B 782 (2018) 131 [arXiv:1802.04274] [INSPIRE].
M. Bordone, C. Cornella, J. Fuentes-Mart́ın and G. Isidori, Low-energy signatures of the PS3model: from B-physics anomalies to LFV, JHEP10 (2018) 148 [arXiv:1805.09328] [INSPIRE].
S. Matsuzaki, K. Nishiwaki and K. Yamamoto, Simultaneous interpretation of K and B anomalies in terms of chiral-flavorful vectors, JHEP11 (2018) 164 [arXiv:1806.02312] [INSPIRE].
J. Kumar, D. London and R. Watanabe, Combined Explanations of the b → sμ +μ −and \( b\to c{\tau}^{-}\overline{\nu} \)Anomalies: a General Model Analysis, Phys. Rev.D 99 (2019) 015007 [arXiv:1806.07403] [INSPIRE].
A. Crivellin, C. Greub, D. Müller and F. Saturnino, Importance of Loop Effects in Explaining the Accumulated Evidence for New Physics in B Decays with a Vector Leptoquark, Phys. Rev. Lett.122 (2019) 011805 [arXiv:1807.02068] [INSPIRE].
L. Di Luzio, J. Fuentes-Martin, A. Greljo, M. Nardecchia and S. Renner, Maximal Flavour Violation: a Cabibbo mechanism for leptoquarks, JHEP11 (2018) 081 [arXiv:1808.00942] [INSPIRE].
A. Angelescu, D. Bečirević, D.A. Faroughy and O. Sumensari, Closing the window on single leptoquark solutions to the B-physics anomalies, JHEP10 (2018) 183 [arXiv:1808.08179] [INSPIRE].
S. Balaji, R. Foot and M.A. Schmidt, Chiral SU(4) explanation of the b → s anomalies, Phys. Rev.D 99 (2019) 015029 [arXiv:1809.07562] [INSPIRE].
B. Fornal, S.A. Gadam and B. Grinstein, Left-Right SU(4) Vector Leptoquark Model for Flavor Anomalies, Phys. Rev.D 99 (2019) 055025 [arXiv:1812.01603] [INSPIRE].
M. Ciuchini et al., New Physics in b → se +e −confronts new data on Lepton Universality, Eur. Phys. J.C 79 (2019) 719 [arXiv:1903.09632] [INSPIRE].
C. Cornella, J. Fuentes-Martin and G. Isidori, Revisiting the vector leptoquark explanation of the B-physics anomalies, JHEP07 (2019) 168 [arXiv:1903.11517] [INSPIRE].
A. Crivellin and F. Saturnino, Explaining the Flavor Anomalies with a Vector Leptoquark (Moriond 2019 update), PoS(DIS2019)163 (2019) [arXiv:1906.01222] [INSPIRE].
O. Popov, M.A. Schmidt and G. White, R2 as a single leptoquark solution to R D(∗)and R K (∗) , Phys. Rev.D 100 (2019) 035028 [arXiv:1905.06339] [INSPIRE].
M. Frigerio, J. Serra and A. Varagnolo, Composite GUTs: models and expectations at the LHC, JHEP06 (2011) 029 [arXiv:1103.2997] [INSPIRE].
A. Carmona and F. Goertz, Custodial Leptons and Higgs Decays, JHEP04 (2013) 163 [arXiv:1301.5856] [INSPIRE].
K. Agashe, T. Okui and R. Sundrum, A Common Origin for Neutrino Anarchy and Charged Hierarchies, Phys. Rev. Lett.102 (2009) 101801 [arXiv:0810.1277] [INSPIRE].
L. Da Rold, Anarchy with linear and bilinear interactions, JHEP10 (2017) 120 [arXiv:1708.08515] [INSPIRE].
R. Contino and A. Pomarol, Holography for fermions, JHEP11 (2004) 058 [hep-th/0406257] [INSPIRE].
R. Contino, T. Kramer, M. Son and R. Sundrum, Warped/composite phenomenology simplified, JHEP05 (2007) 074 [hep-ph/0612180] [INSPIRE].
G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, Lect. Notes Phys.913 (2016) 1 [arXiv:1506.01961] [INSPIRE].
K. Agashe, G. Perez and A. Soni, Flavor structure of warped extra dimension models, Phys. Rev.D 71 (2005) 016002 [hep-ph/0408134] [INSPIRE].
K. Agashe, A. Azatov and L. Zhu, Flavor Violation Tests of Warped/Composite SM in the Two-Site Approach, Phys. Rev.79 (2009) 056006 [arXiv:0810.1016] [INSPIRE].
D. Bigi and P. Gambino, Revisiting B → Deν, Phys. Rev.D 94 (2016) 094008 [arXiv:1606.08030] [INSPIRE].
F.U. Bernlochner, Z. Ligeti, M. Papucci and D.J. Robinson, Combined analysis of semileptonic B decays to D and D ∗: R(D (∗) ), |V cb| and new physics, Phys. Rev.D 95 (2017) 115008 [arXiv:1703.05330] [INSPIRE].
S. Jaiswal, S. Nandi and S.K. Patra, Extraction of |V cb| from B → D (∗) ℓν ℓand the Standard Model predictions of R(D (∗) ), JHEP12 (2017) 060 [arXiv:1707.09977] [INSPIRE].
D. Bigi, P. Gambino and S. Schacht, R(D ∗), |V cb| and the Heavy Quark Symmetry relations between form factors, JHEP11 (2017) 061 [arXiv:1707.09509] [INSPIRE].
M. Algueró et al., Emerging patterns of New Physics with and without Lepton Flavour Universal contributions, Eur. Phys. J.C 79 (2019) 714 [arXiv:1903.09578] [INSPIRE].
A.K. Alok, A. Dighe, S. Gangal and D. Kumar, Continuing search for new physics in b → sμμ decays: two operators at a time, JHEP06 (2019) 089 [arXiv:1903.09617] [INSPIRE].
J. Aebischer, W. Altmannshofer, D. Guadagnoli, M. Reboud, P. Stangl and D.M. Straub, B-decay discrepancies after Moriond 2019, arXiv:1903.10434 [INSPIRE].
HFLAV collaboration, Averages of b-hadron, c-hadron and τ -lepton properties as of summer 2016, Eur. Phys. J.C 77 (2017) 895 [arXiv:1612.07233] [INSPIRE].
F. Feruglio, P. Paradisi and A. Pattori, Revisiting Lepton Flavor Universality in B Decays, Phys. Rev. Lett.118 (2017) 011801 [arXiv:1606.00524] [INSPIRE].
K. Agashe, R. Contino, L. Da Rold and A. Pomarol, A Custodial symmetry for Z b ̄b, Phys. Lett.B 641 (2006) 62 [hep-ph/0605341] [INSPIRE].
E.C. Andrés, L. Da Rold and I.A. Davidovich, Beautiful mirrors for a PNGB Higgs, JHEP03 (2016) 152 [arXiv:1509.04726] [INSPIRE].
ALEPH, DELPHI, L3, OPAL and SLD collaborations, LEP Electroweak Working Group, SLD Electroweak Group and SLD Heavy Flavour Group, Precision electroweak measurements on the Z resonance, Phys. Rept.427 (2006) 257 [hep-ex/0509008] [INSPIRE].
C. Csáki, A. Falkowski and A. Weiler, The Flavor of the Composite Pseudo-Goldstone Higgs, JHEP09 (2008) 008 [arXiv:0804.1954] [INSPIRE].
G. Panico and A. Pomarol, Flavor hierarchies from dynamical scales, JHEP07 (2016) 097 [arXiv:1603.06609] [INSPIRE].
M. Bauer, R. Malm and M. Neubert, A Solution to the Flavor Problem of Warped Extra-Dimension Models, Phys. Rev. Lett.108 (2012) 081603 [arXiv:1110.0471] [INSPIRE].
L. Da Rold and I.A. Davidovich, A symmetry for 𝜖 K , JHEP10 (2017) 135 [arXiv:1704.08704] [INSPIRE].
C. Csáki, A. Falkowski and A. Weiler, A Simple Flavor Protection for RS, Phys. Rev.D 80 (2009) 016001 [arXiv:0806.3757] [INSPIRE].
M. Redi and A. Weiler, Flavor and CP Invariant Composite Higgs Models, JHEP11 (2011) 108 [arXiv:1106.6357] [INSPIRE].
M. Frigerio, M. Nardecchia, J. Serra and L. Vecchi, The Bearable Compositeness of Leptons, JHEP10 (2018) 017 [arXiv:1807.04279] [INSPIRE].
A. Azatov, D. Barducci, D. Ghosh, D. Marzocca and L. Ubaldi, Combined explanations of B-physics anomalies: the sterile neutrino solution, JHEP10 (2018) 092 [arXiv:1807.10745] [INSPIRE].
C. Grojean, O. Matsedonskyi and G. Panico, Light top partners and precision physics, JHEP10 (2013) 160 [arXiv:1306.4655] [INSPIRE].
K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys.B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1., Phys. Rev.177 (1969) 2239 [INSPIRE].
C.G. Callan Jr., S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2., Phys. Rev.177 (1969) 2247 [INSPIRE].
L. Da Rold and F. Lamagna, Composite Higgs and leptoquarks from a simple group, JHEP03 (2019) 135 [arXiv:1812.08678] [INSPIRE].
G. Panico and A. Wulzer, The Discrete Composite Higgs Model, JHEP09 (2011) 135 [arXiv:1106.2719] [INSPIRE].
CMS collaboration, Search for the production of four top quarks in the single-lepton and opposite-sign dilepton final states in proton-proton collisions at \( \sqrt{s}=13 \)TeV, JHEP11 (2019) 082 [arXiv:1906.02805] [INSPIRE].
ATLAS collaboration, Search for additional heavy neutral Higgs and gauge bosons in the ditau final state produced in 36 fb −1of pp collisions at \( \sqrt{s}=13 \)TeV with the ATLAS detector, JHEP01 (2018) 055 [arXiv:1709.07242] [INSPIRE].
ATLAS collaboration, Search for W W/W Z resonance production in eνqq final states in pp collisions at \( \sqrt{s}=13 \)TeV with the ATLAS detector, JHEP03 (2018) 042 [arXiv:1710.07235] [INSPIRE].
ATLAS collaboration, Search for resonances in the mass distribution of jet pairs with one or two jets identified as b-jets in proton-proton collisions at \( \sqrt{s}=13 \)TeV with the ATLAS detector, Phys. Rev.D 98 (2018) 032016 [arXiv:1805.09299] [INSPIRE].
CMS collaboration, Search for resonant tt production in proton-proton collisions at \( \sqrt{s}=13 \)TeV, JHEP04 (2019) 031 [arXiv:1810.05905] [INSPIRE].
CMS collaboration, Combination of CMS searches for heavy resonances decaying to pairs of bosons or leptons, Phys. Lett.B 798 (2019) 134952 [arXiv:1906.00057] [INSPIRE].
CMS collaboration, Search for a narrow resonance in high-mass dilepton final states in proton-proton collisions using 140 fb −1of data at \( \sqrt{s}=13 \)TeV, CMS-PAS-EXO-19-019 (2019).
A. Biswas, D. Kumar Ghosh, N. Ghosh, A. Shaw and A.K. Swain, Collider signature of U 1Leptoquark and constraints from b → c observables, arXiv:1808.04169 [INSPIRE].
R. Contino, L. Da Rold and A. Pomarol, Light custodians in natural composite Higgs models, Phys. Rev.D 75 (2007) 055014 [hep-ph/0612048] [INSPIRE].
M. Carena, L. Da Rold and E. Pontón, Minimal Composite Higgs Models at the LHC, JHEP06 (2014) 159 [arXiv:1402.2987] [INSPIRE].
J.M. Cline, B decay anomalies and dark matter from vectorlike confinement, Phys. Rev.D 97 (2018) 015013 [arXiv:1710.02140] [INSPIRE].
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Da Rold, L., Lamagna, F. A vector leptoquark for the B-physics anomalies from a composite GUT. J. High Energ. Phys. 2019, 112 (2019). https://doi.org/10.1007/JHEP12(2019)112
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DOI: https://doi.org/10.1007/JHEP12(2019)112