**Core Concept**
The loss of pain and temperature sensitivity, vibratory sense, and proprioception in a specific dermatome or hemibody is indicative of a lesion affecting the spinothalamic tract, dorsal columns, or both. This pattern of sensory loss is typically seen in conditions affecting the spinal cord or peripheral nerves.

**Why the Correct Answer is Right**
The spinothalamic tract is responsible for transmitting pain and temperature sensations, while the dorsal columns (fasciculus gracilis and fasciculus cuneatus) carry vibratory and proprioceptive information. Damage to the spinal cord, such as in a central cord syndrome or syringomyelia, can result in the characteristic loss of pain and temperature sensation with preservation of light touch and proprioception. This pattern is due to the relative sparing of the posterior columns, which are located more peripherally within the spinal cord.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is not provided.
**Option B:** While a lumbar disc herniation can cause nerve root damage, the pattern of sensory loss described is more typical of a central cord syndrome or syringomyelia, rather than a single nerve root lesion.
**Option C:** A peripheral neuropathy can cause a variety of sensory symptoms, but the specific pattern of loss described is more characteristic of a central lesion.

**Clinical Pearl / High-Yield Fact**
In patients with spinal cord lesions, the Brown-Séquard syndrome (loss of pain and temperature sensation on one side of the body with preservation of light touch and proprioception on the same side) is often seen, while the central cord syndrome (loss of pain and temperature sensation with preservation of light touch and proprioception) is more common in older patients with cervical spondylosis.

**Correct Answer:** C.