
Electroweak axion in light of GRB221009A
Weikang Lin1, 2, ∗and Tsutomu T. Yanagida2, 3, †
1South-Western Institute For Astronomy Research,
Yunnan University, Kunming 650500, Yunnan, P. R. China
2Tsung-Dao Lee Institute (TDLI) & School of Physics and Astronomy, Shanghai Jiao Tong University,
Shengrong Road 520, 201210 Shanghai, P. R. China
3Kavli IPMU (WPI), The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
Very high energy (VHE) photons may have a higher survival rate than that expected in standard-
model physics, as suggested by the recently reported Gamma Ray Burst GRB221009A. While a
photon-axion like particle (ALP) oscillation can boost the survival rate of the VHE photons, current
works have not been based on concrete particle models, leaving the identity of the corresponding
ALP unclear. Here, we show that the required ALP scenario is consistent with the electroweak
axion with an anomaly free Z10 Froggatt-Nielsen symmetry.
Recently, an unexpectedly bright and long-duration
Gamma Ray Burst (GRB), GRB221009A, has been de-
tected at redshift z= 0.15 (corresponding to a comoving
distance of ∼600 Mpc) [1]. LHAASO reported more
than 5000 VHE photons with energies up to ∼18 TeV
associated with this event [2]. Later, Carpet-2 reported
a 251 TeV photon-like air shower [3].
The detection of VHE photons at such a distance is
difficult to explain with conventional physical processes.
In particular, due to the interaction with the extragalac-
tic background light (EBL) via an electron-positron pair
production, VHE photons have a large optical depth and
their survival rate is extremely low [4].
While the GRB221009A anomaly of VHE photons still
needs close examinations, it is soon pointed out in [5,6]
that the survival rate can be significantly increased by a
photon-ALP oscillation. The VHE photons may convert
back and forth to ALPs in the presence of a magnetic
field in the host galaxy, the intergalactic medium and
the Milky Way. During the ALP phase, they evade the
interaction with EBL, and hence the optical depth is re-
duced. With the benchmark ALP mass mA= 10−10 eV
and photon-ALP coupling constant gAγγ = 0.5×10−11
GeV−1, the survival rate for photons with E>
∼1013
eV is significantly boosted [5]. This benchmark value
of gAγγ = 0.5×10−11 is consistent with the constraints
from both the star cooling effects (see [7] and references
wherein) and laboratory experiments [8]. The benchmark
ALP mass is within the region of ALP mass (mA>10−12
eV) that allows such a high gAγγ [7].
However, the suggested ALP mass is far smaller than
that of the QCD axion given gaγ ≃10−11 GeV−1. In
this short paper, we point out that the suggested param-
eter space is consistent with the electroweak (EW) axion
whose mass is generated by the electroweak instantons
[9,10].
The EW axion is a hypothetical pseudo-Nambu-
Goldstone boson field that couples to the SU(2) EW
∗linweikang-academia@outlook.com
†tsutomu.tyanagida@sjtu.edu.cn
gauge fields with the following interaction,
L ⊃ g2
2
32π2
A
FA
Wi
µν f
Wiµν ,(1)
where Wi
µν (with i= 1,2,3) is the weak SU(2) gauge
field tensor and f
Wiµν is its dual tensor 1. The EW ax-
ion was originally proposed to explain why the age of
the universe appeared to be shorter than that of some
old stars [9]. The potential generated by the EW instan-
ton effect is comparable to the magnitude of dark energy
density observed [9,10].2The version considered in [10]
is a supersymmetric model and the EW instanton effect
generates the axion potential, which reads
VA=Λ4
A
21−cos(A/FA),(2)
with
Λ4
A≃2e−2π
α2(MP l )c ϵ10m3
3/2MP l
≃cϵ
1/1710m3/2
1 TeV 3(1.4×10−3eV)4,(3)
where cis a dimensionless constant of O(1), ϵ≃1/17
is the suppression factor due to the Froggatt-Nielsen
U(1)F N flavor symmetry, m3/2is the gravitino mass and
FAis the decay constant.3The axion potential Eq. (2)
gives us the EW axion mass mAaround the potential
minimum as
mA=Λ2
A
√2FA≃ϵ
1/1710m3/2
1 TeV 3
2MP l
FA×6×10−34 eV ,
(4)
1We consider that the Planck scale MP l ≃2.4×1018 GeV is the
cut-off scale of the theory as explained in [11].
2It is also shown to be able to explain the recently observed cosmic
birefringence [11,12].
3This result does not change even if some SU (2) charged particles
exist at the intermediate energy scale owing to the SUSY miracle
[10].
arXiv:2210.08841v3 [hep-ph] 16 Oct 2023