Create an Amazon Kinesis data stream, subscribe the log group to it, and use Amazon Kinesis Data Analytics to analyze the stream for anomalies. Implement an AWS Lambda function as the stream's output to write to the default Amazon EventBridge event bus upon anomaly detection.

Set up an Amazon Kinesis Data Firehose delivery stream to an Amazon S3 bucket, subscribe the log group to it, and employ Amazon Lookout for Metrics to analyze the S3 bucket data for anomalies. Create an AWS Lambda function to publish to the default Amazon EventBridge event bus in response to Lookout for Metrics anomaly findings.

Develop an AWS Lambda function for anomaly detection, configure it to send an event to the default Amazon EventBridge event bus if an anomaly is found, and subscribe the Lambda function to the log group.

Establish an Amazon Kinesis data stream, subscribe the log group to it, and create an AWS Lambda function to analyze the stream for anomalies. Configure the Lambda function to write to the default Amazon EventBridge event bus upon anomaly detection and set it as the stream's processor.