The left-upper corner of the table (denoted by Group I) reproduces a group of the
standard 2-body decays, A → BC, where A is a BSM particle and B and C are SM
particles, as covered in ref. [14]. In this subtable, the column and row are a list of SM
particles and each entry corresponds to a mother particle, which would decay into one
particle in the column and one particle in the row in the subtable. We show examples
of theories that populate the entire landscape of 2-body resonances. Z
0
and W
0
denote
additional gauge bosons, /R represents R-parity violating supersymmetry (SUSY), L
∗
, Q
∗
are excited leptons and quarks, respectively, and T
0
and B
0
are a vector-like top and bottom
quarks, respectively. Z
KK
denotes Kaluza-Klein excitation of SM Z.
We categorize the rest of table 1 in terms of nine additional subtables, which are
denoted by Roman numerals II through X, and present each table in the sequential order.
Note that generally we suppress electric charges of each SM particle and focus on the
diversity of decay products, although we mention a few interesting examples of such kinds.
Similarly we will not distinguish light jets from gluon and generically denote them as j
but occasionally we distinguish them for some interesting decays. We denote the bottom
quark, and top quark by b/
¯
b and by t/
¯
t, respectively. The V represents SM gauge bosons
Z and W
±
and H is a SM Higgs boson. Throughout the manuscript, a primed particle X
0
represents a BSM particle, whose properties are similar to the corresponding SM particle X.
Ref. [14] provide a complete list of possible production mechanisms of two body res-
onances, including resonant production mode (via the tree-level decay couplings, loop-
induced processes involving the decay coupling, or the inclusion of additional couplings to
quarks or gluons allowed by the quantum numbers of the resonance), the leading produc-
tion mode in association with one, two, three, or four Standard Model particles (using the
same coupling for production and decay in a four-flavor scheme), the unavoidable existence
of a pair production mode. It also notes a possible choice of resonance quantum numbers
that does not lead to a pair production mode. However, if one or both of the decay prod-
ucts of A is a BSM particle, A will not be produced as a single resonance at the LHC via
the same decay coupling. It requires additional couplings to quarks and gluons, which is
not an issue for our discussion in the rest of this study.
In general, various constraints may be imposed on these resonances and could affect
the possible production and decay modes. In order to maintain the broadest possible
scope, we consider only the most stringent constraints imposed by gauge invariance and
Lorentz invariance, as many experimental constraints are dependent on the details of the
underlying model and may in principle be evaded. Gauge invariance and Lorentz invariance
also dictate the structure of interaction of resonances and SM particles.
Table 2 shows example for A → BC, where A and B are BSM particles and C is a
SM particle, which is the Group II in table 1. We consider two similar SM particles in
the B decays. For example, the jj denotes B decays to two quarks (q¯q, q¯q
0
or qq), while
`` includes both two opposite-charged leptons (`
+
`
−
) and the same-sign charged leptons
(`
+
`
+
and `
−
`
−
) and the V V includes the B decays to gg, γγ, γZ, ZZ, W W , or ZW .
The H is the observed Higgs boson, H
00
and H
0
are heavy scalars, A is a new pseudo
scalar, and H
++
denotes a doubly-charged scalar particle. The Q
0
represents a generic
vector-like quark. X
5/3
and π
4/3
6
represent a vector-like quark with electric charge 5/3 and
– 3 –