CERN Accelerating science

Article
Report number	arXiv:1507.06316 ; CERN-PH-TH-2015-158 ; TTP15-023 ; FLAVOUR(267104)-ERC-104 ; CERN-PH-TH-2015-158 ; TTP15-023 ; FLAVOUR(267104)-ERC-104
Title	Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
Related title	Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1
Author(s)	Blanke, Monika (CERN ; KIT, Karlsruhe, IKP ; KIT, Karlsruhe, TTP) ; Buras, Andrzej J. (Munich, Tech. U. ; TUM-IAS, Munich) ; Recksiegel, Stefan (Munich, Tech. U.)
Publication	2016-04-02
Imprint	22 Jul 2015
Number of pages	34
Note	36 pages, 12 figures. v2: clarifying comments added, matches published version
In:	Eur. Phys. J. C 7 (2016) 6
DOI	10.1140/epjc/s10052-016-4019-7
Subject category	Particle Physics - Phenomenology
Abstract	The Littlest Higgs Model with T-parity (LHT) belongs to the simplest new physics scenarios with new sources of flavour and CP violation. We present a new analysis of quark observables in the LHT model in view of the oncoming flavour precision era. We use all available information on the CKM parameters, lattice QCD input and experimental data on quark flavour observables and corresponding theoretical calculations, taking into account new lower bounds on the symmetry breaking scale and the mirror quark masses from the LHC. We investigate by how much the branching ratios for a number of rare $K$ and $B$ decays are still allowed to depart from their SM values. This includes $K^+\to\pi^+\nu\bar\nu$, $K_L\to\pi^0\nu\bar\nu$, $K_L\to \mu^+\mu^-$, $\epsilon'/\epsilon$, $B\to X_s\gamma$, $B_{s,d}\to\mu^+\mu^-$, $B\to K^{(*)}\ell^+\ell^-$, $B\to K^{(*)}\nu\bar\nu$. Taking into account the constraints from $\Delta F=2$ processes, significant departures from the SM predictions for $K^+\to\pi^+\nu\bar\nu$ and $K_L\to\pi^0\nu\bar\nu$ are possible while the effects in $B$ decays are much smaller. In particular, the LHT model favours $\mathcal{B}(B_{s}\to\mu^+\mu^-) \ge \mathcal{B}(B_{s}\to\mu^+\mu^-)_{\rm SM}$, which is not supported by the data, and the present anomalies in $B\to K^{(*)}\ell^+\ell^-$ decays cannot be explained in this model. With the recent lattice and large $N$ input the imposition of the $\epsilon'/\epsilon$ constraint implies a significant suppression of the branching ratio for $K_L\to\pi^0\nu\bar\nu$ with respect to its SM value while allowing only for small modifications for $K^+\to\pi^+\nu\bar\nu$. Finally, we investigate how the LHT physics could be distinguished from other models by means of indirect measurements and discuss the consequences for quark flavour observables of not finding any LHT state in the coming years.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2015-2024 CERN (License: CC-BY-4.0) publication: © 2016-2024 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

Corresponding record in: Inspire