Roughly chop the cilantro and parsley. Add to a food processor with the garlic and jalapeno and pulse several times. Add remaining ingredients. Run until a rough sauce is made, stopping to scrape down as needed. The sauce should have texture and liquid.
Taste and adjust seasonings. If a hotter Zhoug is desired, try a few red chili flakes.
Store any excess in the refrigerator in a tightly covered jar.
Slightly adapted from Chef Yotam Ottolenghi