# Composite Higgs and leptoquarks from a simple group

## TL;DR

This paper introduces a composite grand unified theory that explains anomalies in B decays by predicting new particles like leptoquarks and a composite Higgs, with testable implications at the LHC.

## Contribution

It presents a simple group-based composite GUT model incorporating the Higgs, leptoquarks, and fermions, explaining B decay anomalies and electroweak symmetry breaking.

## Key findings

- Predicts leptoquark masses of 0.4-1.3 TeV.
- Shows the model can reproduce the Standard Model spectrum.
- Provides testable predictions for LHC phenomenology.

## Abstract

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 $R^{\tau\ell}_{D^{(*)}}$.