Simultaneous explanation of $K$ and $B$ anomalies in vectorlike compositeness

Abstract

We address the presently reported significant flavor anomalies in the K and B meson systems such as the CP violating Kaon decay (ε ′ /ε) and lepton-flavor universality violation in B meson decays (R K ( * ) , and also commenting R D ( * ) ), by proposing flavorful and chiral vector bosons as the new physics constitution at ∼ 1 TeV. Interestingly, if the new (composite) vector bosons are quite heavier than ∼ 1 TeV, we face a difficulty in addressing the anomaly in ε ′ /ε consistently with the constraint from the K 0 -K 0 mixing. Both of the anomalies can be addressed within 1σ confidence levels individually, where the relevant parameter space will be investigated by the NA62 and KOTO experiments, in addition to direct searches at the large hadron collider.

The $ε'/ε$-Story: 1976-2021

“…Vectorlike compositeness [141] R(K ( * ) ), R(D ( * ) ), ε K , K + → π + ν ν, K L → π 0 ν ν U(2) 3 flavour symmetry [142] hadronic B → Kπ, B s,d → (KK, ππ), B s → φ(ρ 0 , π 0 ) Table 1: Papers studying implications of a possible ε /ε anomaly.…”

$B$ anomalies with unparticles

“…where O exp i are the experimental data in Table I and O th i are the theoretical calculations from Eqs. ( 20)- (24). Here C ij are the correlation matrix elements.…”

“…If we allow anomalous τ couplings then one can easily enhance the R(D ( * ) ) values, as in [13]. There have been many attempts to explain the discrepancy in various NP models, like leptoquark models [14][15][16][17][18][19][20], composite models [21][22][23][24], extra dimensions [25][26][27][28][29],…”