Flavorful leptoquarks at the LHC and beyond: spin 1
Gudrun Hiller, Dennis Loose, Ivan Nišandžić
Abstract
A bstract Evidence for electron-muon universality violation that has been revealed in b → sℓℓ transitions in the observables $$ {R}_{KK^{\ast }} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mi>KK</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:msub></mml:math> by the LHCb Collaboration can be explained with spin-1 leptoquarks in SU(2) L singlet V 1 or triplet V 3 representations in the $$ \mathcal{O} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>O</mml:mi></mml:math> (1 − 10) TeV range. We explore the sensitivity of the high luminosity LHC (HL-LHC) and future proton-proton colliders to V 1 and V 3 in the parameter space connected to $$ {R}_{KK^{\ast }} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mi>KK</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:msub></mml:math> -data. We consider pair production and single production in association with muons in different flavor benchmarks. Reinterpreting a recent ATLAS search for scalar leptoquarks decaying to bμ and jμ , we extract improved limits for the leptoquark masses: for gauge boson-type leptoquarks ( κ = 1) we obtain $$ {M}_{V_1} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>M</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:msub></mml:math> > 1 . 9 TeV, $$ {M}_{V_1} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>M</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:msub></mml:math> > 1 . 9 TeV, and $$ {M}_{V_1} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>M</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:msub></mml:math> > 1 . 7 TeV for leptoquarks decaying predominantly according to hierarchical, flipped and democratic quark flavor structure, respectively. Future sensitivity projections based on extrapolations of existing ATLAS and CMS searches are worked out. We find that for κ = 1 the mass reach for pair (single) production of V 1 can be up to 3 TeV (2.1 TeV) at the HL-LHC and up to 15 TeV (19.9 TeV) at the FCC-hh with $$ \sqrt{s} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt></mml:math> = 100 TeV and 20 ab − 1 . The mass limits and reach for the triplet V 3 are similar or higher, depending on flavor. While there is the exciting possibility that leptoquarks addressing the $$ {R}_{KK^{\ast }} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>R</mml:mi><mml:msup><mml:mi>KK</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:msub></mml:math> -anomalies are observed at the LHC, to fully cover the parameter space pp -collisions beyond the LHC-energies are needed.