Hello and thank you for entrusting me to answer your question. Congratulations on your new child.
Unforutnately, the only form of protected leave available to new fathers is the "baby bonding leave" afforded through the California Family Rights Act. However, in order to be eligible for baby bonding leave pursuant to the CFRA, an employee must have worked for their employer for a minimum of 12 months and the employer must employ 50 or more total employees. Thus, if you have been employed for only 9 months, your employer would be under no legal obligation to hold your position while you take leave to be with your new born child, however poor an employment practice that may be from the standpoint of human decency.
While not a form "protected" leave (meaning your employer is under no obligaton to hold your position while you are absent), California's Paid Family Leave Law provides fathers partial wage replacement (approximately 55% of your regular wages up to a certain earnings threshold) while they take time off work to bond with a newborn child, regardless of how long they have been employed. For more information on "PFL," see here: http://www.edd.ca.gov/pdf_pub_ctr/de2511.pdf
However, as noted, PFL does not make it illegal for your employer to fire you for taking a leave of absence. Employment in the state of California is "at will" absent a specific agreement to the contrary, meaning it can be terminated for any reason not expressly contrary to the law. The only law that actually would prohibit your employer from termianting you while you are absent to bond with your child is CFRA baby bonding leave, but again, as noted, CFRA leave is not available unless you have worked for your employer for at least 12 months.
In summary, if you have only been employed for 9 months, no law would protect your position if you elected to take leave to bond with your child. However, you are likely eligible for Paid Family Leave, which provides partial wage replacement, though no actual job protection.
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