We investigate the infrared variability of carbon stars in the Large Magellanic Cloud (LMC). Our sample consists of 11,134 carbon stars identified in both visual and infrared bands. Among these, 1,184 objects are known Mira variables based on the Optical Gravitational Lensing Experiment III (OGLE-III) observations. We study the infrared variability of the entire sample using the Wide-field Infrared Survey Explorer (WISE) photometric data spanning the past 16 years, including the AllWISE multiepoch data and the Near-Earth Object WISE Reactivation (NEOWISE-R) 2024 final data release. We generate light curves using WISE observations in the W1 and W2 bands and compute Lomb-Scargle periodograms for all sample stars. From the WISE light curves, we derive reliable variability parameters for 1,615 objects. Among these, we identify 672 objects exhibiting clear Mira-like variations: 445 of these are previously known Miras from OGLE-III, while 227 are candidates for new Mira variables identified from the WISE data. We establish period-magnitude and period-color relations in both visual and infrared bands for the known Miras and the newly identified candidates from WISE data. We anticipate that these relations will serve as valuable references for studying carbon stars in other galaxies, including the Milky Way.

Introduction
Sample Stars
    Carbon Stars in the LMC
    Photometric Data and Cross-Matching
Finding IR Variations of Carbon Stars from WISE Data
    Light Curves from WISE Data
    Comparison of Pulsation Periods Derived from OGLE-III and WISE Data
Properties of Mira Variables in the LMC
    Period-Color Relations
    Period-Magnitude Relations
Theoretical Dust Shell Models
The IR CMD and 2CD for Carbon Stars
Summary
Acknowledgments
References

• Kyung-Won Suh(Department of Astronomy and Space Science, Chungbuk National University, Chungcheongbuk-do 28644, Republic of Korea) Corresponding author