#### Hunting for heavy majorana neutrinos with lepton number violating signatures at LHC

Received: January
Hunting for heavy majorana neutrinos with lepton number violating signatures at LHC
Chao Guo 0 1 3 6 7
Shu-Yuan Guo 0 1 3 6 7
Zhi-Long Han 0 1 3 6 7
Bin Li 0 1 3 6 7
Yi Liao 0 1 2 3 4 5 6 7
Open Access 0 1 3 7
c The Authors. 0 1 3 7
0 Hunan Normal University , Changsha, Hunan 410081 , China
1 Chinese Academy of Sciences , Beijing 100190 , China
2 Center for High Energy Physics, Peking University
3 Tianjin 300071 , China
4 CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics
5 Synergetic Innovation Center for Quantum E ects and Applications
6 School of Physics, Nankai University
7 Beijing 100871 , China
The neutrinophilic two-Higgs-doublet model ( 2HDM) provides a natural way to generate tiny neutrino mass from interactions with the new doublet scalar (H ; H; A) and singlet neutrinos NR of TeV scale. In this paper, we perform detailed simulations for the lepton number violating (LNV) signatures at LHC arising from cascade decays of the new scalars and neutrinos with the mass order mNR < m constraints from lepton avor violating processes and direct collider searches, their decay properties are explored and lead to three types of LNV signatures: 2` 4j +E= T , 3` 4j +E= T , and 3` ` 4j. We nd that the same-sign trilepton signature 3` 4j + E= T is quite unique and is the most promising discovery channel at the high-luminosity LHC. Our analysis also yields the 95% C.L. exclusion limits in the plane of the TeV LHC with an integrated luminosity of 100 (3000) fb 1.
Beyond Standard Model; Neutrino Physics; Higgs Physics
Contents
1 Introduction 2 Model and constraints The model
Constraints
3 Decay properties 2.1 2.2 3.1
5 Conclusion
Introduction
Neutrinophilic scalars
Heavy Majorana neutrinos
Dilepton signature
Trilepton signature
Four-lepton signature
second Higgs doublet
but not to the Majorana
{ 1 {
is forbidden
the scalar potential,
framework of 2HDM.
ne-tuning
issues). In
constraints from lepton
Model and constraints
The model
: while
couples to NR,
(v +
{ 2 {
the scalar potential is
V =
+ m2
2 1( y )2 +
+ 3( y )( y
) + 4( y
+ H:c: :
Assuming m2 ;
and 1 2
( 3 + 4)2 [174, 175],
2m2
{ 3 {
for instance, m
500 GeV, 2
10 GeV2 to arrive at v
10 MeV. Since
v is thus stable against
H =
0;r sin
cos ;
0;r cos ;
A =
h =
0;i sin
0;i cos ;
0;r cos
0;r sin ;
where the mixing angles
are determined by
; tan 2
2 + ( 3 + 4)vv
2 + 1vv
and their masses are
m2H
' m2 +
2 3v2; m2A ' m2H ' m2H
Since v
v in our consideration here,
, i.e., mH
3 =
4 = 0. This
NR are given by
with e
= i 2
N RcmNR NR + H:c:;
where m^
UPMNS = B
s12c23
s12s23
c12c13
c12s23s13e i
c12c23s13e i
c12c23
c12s23
s12c13
s12s23s13e i
s12c23s13e i c23c13
s23c13 CA
(2.10)
(2.11)
(2.12)
(2.13)
!ij
!21 0 1 0 u31 0
!31
1 0 1 0
A @
C B 0 u32
!32 CA ;
!31 0 u31
0 !32 u32
with uij = (1
!i2j )1=2 and
V`N = p
is the Dirac phase and
y =
10 MeV,
mNR
200 GeV, and y
0:006 whence we have V`N
section 2.2, the choice of v
0, the charged scalars
As will be clear in
{ 4 {
We show in
gure 1 BR(
1 MeV is
and thus BR(
mij
me e and thus BR(
mH+v &
mNR
2#1=4
BR( ! e ) 100 GeV
600 GeV MeV;
(2.18)
0:1 when mNR
m . Hence, for mNR
200 GeV for instance,
MeV, which can also be seen
2HDM [196].
and heavy
as `+`
Decay properties
scenario with mNR > m
{ 6 {
Neutrinophilic scalars
In the scenario of mNR < m
widths are
(H+
H+
As mentioned earlier, we
the branching ratios. In
! `+NRi) as a
X BR(H+
X BR(H+
! e+NRi) <
! e+NRi) >
X BR(H+
X BR(H+
+NRi)
+NRi)
X BR(H+
X BR(H+
+NRi) for NH; (3.3)
+NRi) for IH: (3.4)
! `+NRi). The
NRi) is
BR(H=A !
for BR(H+
{ 8 {
is suppressed by V`N
10 7 and v =v
10 5 (for v
pp ! H+H ; H
H; H A; HA:
in the mass interval 100
There are many possible
H, H A and HA production,
H, H A production,
3` ` 4j from H+H
production,
While the same sign
{ 13 {
2l±4j+ET IH
2l±4j+ET NH
3l±4j+ET IH
3l±4j+ET NH
3l±l¡4j IH
3l±l¡4j NH
2l±4j+ET IH
2l±4j+ET NH
3l±4j+ET IH
3l±4j+ET NH
3l±l¡4j IH
3l±l¡4j NH
Dilepton signature
subsequent decays:
pp ! H
pp ! HA !
NR NR !
` W
` W
` jj ` jj;
and W
relative distances
avor structure
pT (`) > 10 GeV;
j (`)j < 2:5;
pT (j) > 20 GeV;
j (j)j < 5;
Rjj;``;j` > 0:4:
{ 14 {
−4
−2
−3
−2
−6
pT(j ) (GeV)
ET (GeV)
(`), missing
backgrounds at 13 TeV LHC.
{ 15 {
−4
pT(l) (GeV)
Basic cuts in Eq: (4.5)
W W W jj
51 (1770)
63 (2425)
16 (566)
20 (775)
5.8 (210)
7.2 (288)
1020 (35023)
1043 (37909)
155 (4623)
16 (569)
20 (779)
5.0 (179)
6.1 (245)
1.8 (65)
2.2 (88)
N (b) = 0
8.3 (319)
10 (436)
2.4 (90)
3.0 (124)
0.87 (31)
1.1 (43)
325 (10917) 54 (1810)
232 (8188)
43 (1213)
39 (1399)
32 (901)
N (` ) = 2
3.9 (164)
4.9 (224)
1.3 (49)
1.6 (67)
0.47 (17)
0.58 (23)
18 (580)
2.9 (172)
12 (334)
0.65 (4.64)
0.79 (6.20)
0.22 (1.44)
0.27 (1.96)
0.08 (0.51)
0.10 (0.70)
Mjjl ±l± (GeV)
LHC for the SSD signature.
all cuts. As shown in
Rj`;`` that it is
! ` ` jj can be used to
via the invariant mass
{ 16 {
13TeVž100fb-1
BP-C
14TeVž3000fb-1
NH IH
plane for the SSD signature
in the
nal states.
We see that NR and H
LHC14@3000.
with m
space for the
gure 9. As also
shown clearly in
Trilepton signature
` W
{ 17 {
VVV(V)
VVV(V)
VVV(V)
N(j )
VVV(V)
VVV(V)
pT(j )(GeV)
VVV(V)
ET(GeV)
50 100 150 200 250 300 pT(l)(GeV)
350
Rj` for the SST signature
distances
{ 18 {
Basic cuts in eq. (4.5)
ttV V
V V V (V ) NH IH NH
NH IH
11 (378)
13 (458)
2.9 (102)
3.5 (124)
0.96 (36)
1.2 (43)
1 (36)
0.5 (16)
BP-B
BP-C
VVV(V)
3.7 (127)
4.5 (153)
1.1 (37)
1.3 (44)
0.38 (13)
0.46 (16)
0.25 (8.5)
0.15 (5)
3.7 (126)
4.5 (152)
1.0 (36)
1.3 (44)
0.37 (13)
0.44 (16)
0.24 (8.3)
0.08 (2.7)
1.85 (10.8)
2.05 (11.9)
0.87 (5.25)
1.02 (5.93)
0.45 (2.65)
0.51 (3.08)
BP-B
BP-C
VVV(V)
Mjjl ±l± (GeV)
into account as well.
excess for NH (IH). In
particles at 13 TeV LHC.
plane. Our results
are presented in
could be excluded up to
{ 19 {
13TeVž100fb-1
BP-B
BP-C
IH
14TeVž3000fb-1
330 GeV. With
. 640 GeV, mNR .
Four-lepton signature
chains:
pp ! H+H
! 3` ` 4j:
the four-lepton signature:
(4.10)
be shown below.
{ 20 {
N (` ) = 1
0.74 (29)
1.3 (43)
0.27 (8.7)
0.47 (15)
0.09 (3.2)
0.16 (5.6)
0 (0)
0 (0)
0 (0)
0.86 (5.39)
1.14 (6.56)
0.52 (2.95)
0.69 (3.87)
0.30 (1.79)
0.40 (2.37)
BP-B
BP-C bkg
Mj j l±l± (GeV)
Basic cuts
23 (805)
40 (1404)
7.2 (242)
13 (422)
2.4 (89)
4.2 (155)
403 (33431)
125 (11316)
BP-B
BP-C bkg
5.6 (195)
9.8 (340)
1.7 (58)
3.0 (102)
0.58 (21)
1.0 (37)
36 (2869)
11 (971)
6043 (488674) 538 (41943)
and charged scalars H
respectively.
. 500 GeV.
, and results in interesting
{ 21 {
BP-C
14TeVž3000fb-1
13TeVž100fb-1
for NR of a few hundreds GeV.
at LHC.
mNR < m
mass hierarchy and the
and NR.
In particular, we expect
for short), (mNR; m
{ 22 {
LNV signatures
BP-A
BP-B
BP-C
MNR
0.65 (4.64)
1.85 (10.8)
0.86 (5.39)
0.79 (6.20)
2.05 (11.9)
1.14 (6.56)
0.22 (1.44)
0.87 (5.25)
0.52 (2.95)
0.27 (1.96)
1.02 (5.93)
0.69 (3.87)
0.08 (0.51)
0.45 (2.65)
0.30 (1.79)
0.10 (0.70)
0.51 (3.08)
0.40 (2.37)
200 (320)
215 (340)
230 (360)
250 (390)
280 (500)
305 (530)
350 (600)
380 (640)
230 (420)
250 (460)
270 (470)
310 (530)
mNR . 300 GeV and m
. 600 GeV by the
SST signature.
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