Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composite Higgs and leptoquarks from a simple group   We propose a composite grand unified theory to study the anomalies in the
semileptonic $B$ decays. We show a simple group containing the custodial and
Standard Model gauge symmetries, that can deliver a set of composite pseudo
Nambu-Goldstone bosons: the Higgs, a colorless SU(2)$_L$-fourplet and three
leptoquarks: a triplet and two doublets. We give a description in terms of an
effective theory of resonances. By assuming anarchic partial compositeness of
the Standard Model fermions, we find representations for the composite fermions
that allow to obtain the Higgs Yukawa couplings, as well as leptoquark
interactions explaining the deviations in $R^{\mu e}_{K^{(*)}}$. We calculate
the one-loop potential, we show that it can trigger electroweak symmetry
breaking and we find a region of the parameter space that can reproduce the
Standard Model spectrum. The model predicts leptoquark masses of order
$0.4-1.3$ TeV, corrections to some electroweak observables, with $Zb_L\bar b_L$
saturating the current bounds, and a very reach phenomenology at LHC. We also
study the possibility of explaining $R^{\tau\ell}_{D^{(*)}}$.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga