Lately many times I had to reach towards the EPS Mobility Management (EMM) timers, because it took me some time to google them here you go. Hope any one will find them as useful I did. 
In the two tables you can easily find the times name it's default or suggested value, what is triggering it and what happens in case it will finally expire.
 
EPS mobility management timers – UE side
| 
TIMER NUM. | 
TIMER VALUE | 
STATE | 
CAUSE OF START | 
NORMAL STOP | 
ON  EXPIRY | 
| 
T3402 | 
Default 12 min. 
NOTE 1 | 
EMM-DEREGISTERED 
EMM-REGISTERED | 
At attach failure and the attempt counter is equal to 5. 
At tracking area updating failure and the attempt counter is
  equal to 5. | 
ATTACH REQUEST sent 
TRACKING AREA UPDATE REQUEST sent | 
Initiation of the attach procedure or TAU procedure | 
| 
T3410 | 
15s | 
EMM-REGISTERED-INITIATED | 
ATTACH REQUEST sent | 
ATTACH ACCEPT received 
ATTACH REJECT received | 
Start T3411 or T3402 as
  described in subclause 5.5.1.2.6 | 
| 
T3411 | 
10s | 
EMM-DEREGISTERED. ATTEMPTING-TO-ATTACH 
EMM-REGISTERED. ATTEMPTING-TO-UPDATE | 
At attach failure due to lower layer failure, T3410 timeout or
   attach rejected with other EMM cause values than those treated in subclause 5.5.1.2.5. 
At tracking area updating failure due to lower layer failure,
   T3430 timeout or TAU rejected with other EMM cause values than those treated
   in subclause 5.5.3.2.5. | 
ATTACH REQUEST sent 
TRACKING AREA UPDATE REQUEST sent | 
Retransmission of the ATTACH REQUEST or TRACKING AREA UPDATE
   REQUEST | 
| 
T3412 | 
Default 54 min. 
NOTE 2 
NOTE 5 | 
EMM-REGISTERED | 
In EMM-REGISTERED, when EMM-CONNECTED mode is left. | 
When entering state EMM-DEREGISTERED or when entering
   EMM-CONNECTED mode.  | 
Initiation of the periodic TAU procedure if the UE is not attached for emergency bearer services. 
Implicit detach from
   network if the UE is attached for emergency bearer services. | 
| 
T3416 | 
30s | 
EMM-REGISTERED-INITIATED 
EMM-REGISTERED 
EMM-DEREGISTERED-INITIATED 
EMM-TRACKING-AREA-UPDATING-INITIATED 
EMM-SERVICE-REQUEST-INITIATED | 
RAND and RES stored as a result of a UMTS authentication
   challenge | 
SECURITY MODE COMMAND received 
SERVICE REJECT received 
TRACKING AREA UPDATE ACCEPT received 
AUTHENTICATION REJECT received 
AUTHENTICATION FAILURE sent 
EMM-DEREGISTERED or EMM-NULL entered | 
Delete the stored RAND and RES | 
| 
T3417 | 
5s | 
EMM-SERVICE-REQUEST-INITIATED | 
SERVICE REQUEST sent 
EXTENDED SERVICE REQUEST sent in case f, g, i
   and j in subclause 5.6.1.1 | 
Bearers have been set up 
SERVICE REJECT received | 
Abort the procedure | 
| 
T3417ext | 
10s | 
EMM-SERVICE-REQUEST-INITIATED | 
EXTENDED SERVICE REQUEST sent in case d in subclause
   5.6.1.1 
EXTENDED SERVICE REQUEST sent in case e in subclause
   5.6.1.1 and the CSFB response was set to
   "CS fallback accepted by the UE" | 
Inter-system change from S1 mode to A/Gb mode or Iu mode is completed 
Inter-system change from S1 mode to A/Gb mode or Iu mode is failed 
SERVICE REJECT received | 
Abort the procedure | 
| 
T3418 | 
20s | 
EMM-REGISTERED-INITIATED 
EMM-REGISTERED 
EMM-TRACKING-AREA-UPDATING-INITIATED 
EMM-DEREGISTERED-INITIATED 
EMM-SERVICE-REQUEST-INITIATED | 
AUTHENTICATION
   FAILURE (EMM cause = #20 "MAC failure"
   or #26 "non-EPS authentication unacceptable") sent | 
AUTHENTICATION REQUEST received | 
On first expiry, the UE should consider the network as false and follow item f of subclause
   5.4.2.7, if the UE is not attached for emergency bearer services. 
On first expiry, the
   UE will follow subclause 5.4.2.7 under “For
   items c, d, and e:”, if the UE
   is attached for emergency bearer services. | 
| 
T3420 | 
15s | 
EMM-REGISTERED-INITIATED 
EMM-REGISTERED 
EMM-DEREGISTERED-INITIATED 
EMM-TRACKING-AREA-UPDATING-INITIATED 
EMM-SERVICE-REQUEST-INITIATED | 
AUTHENTICATION FAILURE (cause = #21 "synch failure")
   sent | 
AUTHENTICATION REQUEST received | 
On first expiry, the UE should consider the network as false and follow item f of subclause
   5.4.2.7, if the UE is not attached for emergency bearer services. 
On first expiry, the
   UE will follow subclause 5.4.2.7 under “For
   items c, d, and e:”, if the UE is attached for emergency bearer
   services. | 
| 
T3421 | 
15s | 
EMM-DEREGISTERED-INITIATED | 
DETACH REQUEST sent | 
DETACH ACCEPT received | 
Retransmission of DETACH REQUEST | 
| 
T3423 | 
NOTE 3 | 
EMM-REGISTERED | 
T3412 expires while the UE is in
   EMM-REGISTERED.NO-CELL-AVAILABLE and ISR is activated. | 
When entering state EMM-DEREGISTERED or when entering
   EMM-CONNECTED mode. | 
Set TIN to "P‑TMSI" | 
| 
T3430 | 
15s | 
EMM-TRACKING-AREA-UPDATING-INITIATED | 
TRACKING AREA UPDATE REQUEST sent | 
TRACKING AREA UPDATE ACCEPT received 
TRACKING AREA UPDATE REJECT received | 
Start T3411 or T3402 as described in subclause 5.5.3.2.6 | 
| 
T3440 | 
10s | 
EMM-REGISTERED-INITIATED 
EMM-TRACKING-AREA-UPDATING-INITIATED 
EMM-DEREGISTERED-INITIATED 
EMM-SERVICE-REQUEST-INITIATED 
EMM-REGISTERED | 
ATTACH REJECT, DETACH REQUEST, TRACKING AREA UPDATE REJECT with
   any of the EMM cause #11, #12, #13, #14 or #15 
SERVICE REJECT received with any of the EMM cause #11, #12, #13
   or #15 
TRACKING AREA UPDATE ACCEPT received after the UE sent TRACKING
   AREA UPDATE REQUEST in EMM-IDLE mode with no "active" flag | 
Signalling connection released 
Bearers have been set up | 
Release the signalling connection and proceed as described in subclause 5.3.1.2 | 
| 
T3442 | 
NOTE 4 | 
EMM-REGISTERED | 
SERVICE REJECT
   received with EMM cause #39 "CS domain
   temporarily not available" | 
TRACKING AREA UPDATE REQUEST
   sent | 
None | 
| 
NOTE 1:    The default
   value of this timer is used if the network does not indicate another value
   in an EMM signalling procedure. 
NOTE 2:    The value
   of this timer is provided by the network operator during the
   attach and tracking area updating procedures. 
NOTE 3:    The value
   of this timer may be provided by the network in the ATTACH ACCEPT message
   and TRACKING AREA UPDATE ACCEPT message. The default value of this timer is
   identical to the value of T3412. 
NOTE 4:    The value of this timer is provided by
   the network operator when a service request for CS fallback
   is rejected by the network with EMM cause #39 "CS domain temporarily
   not available". 
NOTE 5:    The
   default value of this timer is used if the network does not indicate a value
   in the TRACKING AREA UPDATE ACCEPT message and the UE does not have a stored
   value for this timer. | |||||
EPS
mobility management timers – network side
| 
TIMER NUM. | 
TIMER VALUE | 
STATE  | 
CAUSE OF START | 
NORMAL STOP | 
ON THE 1st, 2nd, 3rd, 4th EXPIRY (NOTE 1) | 
| 
T3413 | 
NOTE 2 | 
EMM-REGISTERED | 
Paging procedure for
  EPS services initiated | 
Paging procedure for
  EPS services completed | 
Network dependent | 
| 
T3422 | 
6s | 
EMM-DEREGISTERED-INITIATED | 
DETACH REQUEST sent | 
DETACH ACCEPT received | 
Retransmission of DETACH REQUEST | 
| 
T3450 | 
6s | 
EMM-COMMON-PROC-INIT | 
ATTACH ACCEPT sent 
TRACKING AREA UPDATE ACCEPT sent with GUTI 
TRACKING AREA UPDATE ACCEPT sent with TMSI 
GUTI REALLOCATION COMMAND sent | 
ATTACH COMPLETE received 
TRACKING AREA UPDATE COMPLETE received 
GUTI REALLOCATION COMPLETE received | 
Retransmission of the same message type, i.e. ATTACH ACCEPT, TRACKING
  AREA UPDATE ACCEPT or GUTI REALLOCATION COMMAND | 
| 
T3460 | 
6s | 
EMM-COMMON-PROC-INIT | 
AUTHENTICATION REQUEST sent 
SECURITY MODE COMMAND sent | 
AUTHENTICATION RESPONSE received 
AUTHENTICATION FAILURE received 
SECURITY MODE COMPLETE received 
SECURITY MODE REJECT received | 
Retransmission of the same message type, i.e. AUTHENTICATION
  REQUEST 
or SECURITY MODE COMMAND | 
| 
T3470 | 
6s | 
EMM-COMMON-PROC-INIT | 
IDENTITY REQUEST sent | 
IDENTITY RESPONSE received | 
Retransmission of IDENTITY REQUEST | 
| 
Default 4 min greater than T3412 | 
All except
  EMM-DEREGISTERED | 
Entering EMM-IDLE mode | 
NAS signalling connection established | 
Network dependent, but typically paging is halted on 1st expiry if the UE is not attached for emergency
  bearer services. 
Implicitly detach the
  UE which is attached for emergency bearer services. | |
| 
Implicit detach timer | 
NOTE 3 | 
All except
  EMM-DEREGISTERED | 
The mobile reachable timer expires while the network is in
  EMM-IDLE mode  | 
NAS signalling connection established | 
Implicitly detach the
  UE on 1st expiry | 
| 
NOTE 1:    Typically,
  the procedures are aborted on the fifth expiry of the relevant timer.
  Exceptions are described in the corresponding procedure description. 
NOTE 2:    The value
  of this timer is network dependent. 
NOTE 3:    The
  value of this timer is network dependent. If ISR is activated, the default value of this timer is 4 minutes greater than T3423.  | |||||
Source:
TS 23.401 3GPP
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